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202242102140 = 225135235472719
BaseRepresentation
bin1011110001011010010…
…0011001001101111100
3201100000121012021102102
42330112210121031330
511303142434232030
6232524142044232
720416514334641
oct2742644311574
9640017167372
10202242102140
1178852437781
1233242579678
13160c09a2130
149b07b9bdc8
1553da20ac45
hex2f1691937c

202242102140 has 96 divisors (see below), whose sum is σ = 459259422720. Its totient is φ = 74367611136.

The previous prime is 202242102137. The next prime is 202242102169. The reversal of 202242102140 is 41201242202.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 74379701 + ... + 74382419.

It is an arithmetic number, because the mean of its divisors is an integer number (4783952320).

Almost surely, 2202242102140 is an apocalyptic number.

202242102140 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 202242102140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229629711360).

202242102140 is an abundant number, since it is smaller than the sum of its proper divisors (257017320580).

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

202242102140 is a wasteful number, since it uses less digits than its factorization.

202242102140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3811 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 202242102140 its reverse (41201242202), we get a palindrome (243443344342).

The spelling of 202242102140 in words is "two hundred two billion, two hundred forty-two million, one hundred two thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 523 547 1046 1094 2092 2188 2615 2719 2735 5230 5438 5470 6799 7111 10460 10876 10940 13595 13598 14222 27190 27196 28444 33995 35347 35555 54380 67990 70694 71110 135980 141388 142220 176735 286081 353470 572162 706940 1144324 1422037 1430405 1487293 2844074 2860810 2974586 3719053 5688148 5721620 5949172 7110185 7436465 7438106 14220370 14872930 14876212 18486481 18595265 19334809 28440740 29745860 36972962 37190530 38669618 73945924 74381060 77339236 92432405 96674045 184864810 193348090 369729620 386696180 777854239 1555708478 3111416956 3889271195 7778542390 10112105107 15557084780 20224210214 40448420428 50560525535 101121051070 202242102140