Search a number
-
+
21200302320 = 2435314096967
BaseRepresentation
bin10011101111101000…
…101111000011110000
32000201111002221111020
4103233220233003300
5321404234133240
613423404015440
71350235411401
oct235750570360
960644087436
1021200302320
118a9a021a0a
124137b31580
131ccb2768b2
1410518939a8
158413160d0
hex4efa2f0f0

21200302320 has 160 divisors (see below), whose sum is σ = 68016599040. Its totient is φ = 5456885760.

The previous prime is 21200302309. The next prime is 21200302327. The reversal of 21200302320 is 2320300212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21200302320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21200302327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3039477 + ... + 3046443.

It is an arithmetic number, because the mean of its divisors is an integer number (425103744).

Almost surely, 221200302320 is an apocalyptic number.

21200302320 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 21200302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34008299520).

21200302320 is an abundant number, since it is smaller than the sum of its proper divisors (46816296720).

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

21200302320 is a wasteful number, since it uses less digits than its factorization.

21200302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7423 (or 7417 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 21200302320 its reverse (2320300212), we get a palindrome (23520602532).

The spelling of 21200302320 in words is "twenty-one billion, two hundred million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 409 465 496 620 744 818 930 1227 1240 1488 1636 1860 2045 2454 2480 3272 3720 4090 4908 6135 6544 6967 7440 8180 9816 12270 12679 13934 16360 19632 20901 24540 25358 27868 32720 34835 38037 41802 49080 50716 55736 63395 69670 76074 83604 98160 101432 104505 111472 126790 139340 152148 167208 190185 202864 209010 215977 253580 278680 304296 334416 380370 418020 431954 507160 557360 608592 647931 760740 836040 863908 1014320 1079885 1295862 1521480 1672080 1727816 2159770 2591724 2849503 3042960 3239655 3455632 4319540 5183448 5699006 6479310 8548509 8639080 10366896 11398012 12958620 14247515 17097018 17278160 22796024 25917240 28495030 34194036 42742545 45592048 51834480 56990060 68388072 85485090 88334593 113980120 136776144 170970180 176669186 227960240 265003779 341940360 353338372 441672965 530007558 683880720 706676744 883345930 1060015116 1325018895 1413353488 1766691860 2120030232 2650037790 3533383720 4240060464 5300075580 7066767440 10600151160 21200302320