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232121220320 = 255111091209973
BaseRepresentation
bin1101100000101110000…
…0001011110011100000
3211012010221000202010002
43120023200023303200
512300341013022240
6254345055155132
722525115550443
oct3301340136340
9735127022102
10232121220320
118a495417480
1238ba0b15aa8
1318b72cc1b12
14b34013b65a
156088407d15
hex360b80bce0

232121220320 has 96 divisors (see below), whose sum is σ = 603728627040. Its totient is φ = 83633264640.

The previous prime is 232121220313. The next prime is 232121220329. The reversal of 232121220320 is 23022121232.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 232121220292 and 232121220301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232121220329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413147 + ... + 796826.

It is an arithmetic number, because the mean of its divisors is an integer number (6288839865).

Almost surely, 2232121220320 is an apocalyptic number.

232121220320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232121220320 is an abundant number, since it is smaller than the sum of its proper divisors (371607406720).

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

232121220320 is a wasteful number, since it uses less digits than its factorization.

232121220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210108 (or 1210100 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 232121220320 its reverse (23022121232), we get a palindrome (255143341552).

The spelling of 232121220320 in words is "two hundred thirty-two billion, one hundred twenty-one million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 109 110 160 176 218 220 352 436 440 545 872 880 1090 1199 1744 1760 2180 2398 3488 4360 4796 5995 8720 9592 11990 17440 19184 23980 38368 47960 95920 191840 1209973 2419946 4839892 6049865 9679784 12099730 13309703 19359568 24199460 26619406 38719136 48398920 53238812 66548515 96797840 106477624 131887057 133097030 193595680 212955248 263774114 266194060 425910496 527548228 532388120 659435285 1055096456 1064776240 1318870570 1450757627 2110192912 2129552480 2637741140 2901515254 4220385824 5275482280 5803030508 7253788135 10550964560 11606061016 14507576270 21101929120 23212122032 29015152540 46424244064 58030305080 116060610160 232121220320