Search a number
-
+
202011110022000 = 2435357495856413
BaseRepresentation
bin101101111011101001100000…
…011101000001101101110000
3222111021001222120221111120210
4231323221200131001231300
5202434222223131201000
61553350342304504120
760356551424411346
oct5573514035015560
9874231876844523
10202011110022000
11594044812090a4
121a7a713401b040
13889474848cc66
1437c5565c23996
151854b8c5e0350
hexb7ba60741b70

202011110022000 has 160 divisors (see below), whose sum is σ = 651397216392000. Its totient is φ = 53860249881600.

The previous prime is 202011110021971. The next prime is 202011110022019. The reversal of 202011110022000 is 220011110202.

202011110022000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31565794 + ... + 37422206.

It is an arithmetic number, because the mean of its divisors is an integer number (4071232602450).

Almost surely, 2202011110022000 is an apocalyptic number.

202011110022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202011110022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325698608196000).

202011110022000 is an abundant number, since it is smaller than the sum of its proper divisors (449386106370000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202011110022000 is a wasteful number, since it uses less digits than its factorization.

202011110022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5862188 (or 5862172 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 202011110022000 its reverse (220011110202), we get a palindrome (202231121132202).

The spelling of 202011110022000 in words is "two hundred two trillion, eleven billion, one hundred ten million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 5749 6000 11498 17247 22996 28745 34494 45992 57490 68988 86235 91984 114980 137976 143725 172470 229960 275952 287450 344940 431175 459920 574900 689880 718625 862350 1149800 1379760 1437250 1724700 2155875 2299600 2874500 3449400 4311750 5749000 5856413 6898800 8623500 11498000 11712826 17247000 17569239 23425652 29282065 34494000 35138478 46851304 58564130 70276956 87846195 93702608 117128260 140553912 146410325 175692390 234256520 281107824 292820650 351384780 439230975 468513040 585641300 702769560 732051625 878461950 1171282600 1405539120 1464103250 1756923900 2196154875 2342565200 2928206500 3513847800 4392309750 5856413000 7027695600 8784619500 11712826000 17569239000 33668518337 35138478000 67337036674 101005555011 134674073348 168342591685 202011110022 269348146696 336685183370 404022220044 505027775055 538696293392 673370366740 808044440088 841712958425 1010055550110 1346740733480 1616088880176 1683425916850 2020111100220 2525138875275 2693481466960 3366851833700 4040222200440 4208564792125 5050277750550 6733703667400 8080444400880 8417129584250 10100555501100 12625694376375 13467407334800 16834259168500 20201111002200 25251388752750 33668518337000 40402222004400 50502777505500 67337036674000 101005555011000 202011110022000