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20120332232 = 23711136141189
BaseRepresentation
bin10010101111010000…
…111110011111001000
31220221012221210001002
4102233100332133020
5312201301112412
613124304314132
71311413000510
oct225720763710
956835853032
1020120332232
118595448450
123a96312948
131b885b9b40
14d8c28a840
157cb5d9dc2
hex4af43e7c8

20120332232 has 128 divisors (see below), whose sum is σ = 51484204800. Its totient is φ = 7117286400.

The previous prime is 20120332217. The next prime is 20120332241. The reversal of 20120332232 is 23223302102.

It is an unprimeable number.

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, 467894 + ... + 509082.

It is an arithmetic number, because the mean of its divisors is an integer number (402220350).

Almost surely, 220120332232 is an apocalyptic number.

20120332232 is a gapful number since it is divisible by the number (22) 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 20120332232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25742102400).

20120332232 is an abundant number, since it is smaller than the sum of its proper divisors (31363872568).

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

20120332232 is a wasteful number, since it uses less digits than its factorization.

20120332232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41287 (or 41283 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 20120332232 its reverse (23223302102), we get a palindrome (43343634334).

The spelling of 20120332232 in words is "twenty billion, one hundred twenty million, three hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 61 77 88 91 104 122 143 154 182 244 286 308 364 427 488 572 616 671 728 793 854 1001 1144 1342 1586 1708 2002 2684 3172 3416 4004 4697 5368 5551 6344 8008 8723 9394 11102 17446 18788 22204 34892 37576 41189 44408 61061 69784 82378 122122 164756 244244 288323 329512 453079 488488 535457 576646 906158 1070914 1153292 1812316 2141828 2306584 2512529 3171553 3624632 3748199 4283656 5025058 5890027 6343106 7496398 10050116 11780054 12686212 14992796 17587703 20100232 23560108 25372424 27637819 29985592 32662877 35175406 41230189 47120216 55275638 65325754 70350812 82460378 110551276 130651508 140701624 164920756 193464733 221102552 228640139 261303016 329841512 359291647 386929466 457280278 718583294 773858932 914560556 1437166588 1547717864 1829121112 2515041529 2874333176 5030083058 10060166116 20120332232