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431432111032 = 231323125141011
BaseRepresentation
bin1100100011100110101…
…10111001001110111000
31112020121020122001101021
412101303112321032320
524032033110023112
6530110331232224
743112201302456
oct6216326711670
91466536561337
10431432111032
11156a731a766a
126b7458a8674
13318b7615a00
1416c4a8bb9d6
15b35110b907
hex64735b93b8

431432111032 has 96 divisors (see below), whose sum is σ = 907828508160. Its totient is φ = 191926800000.

The previous prime is 431432111029. The next prime is 431432111051. The reversal of 431432111032 is 230111234134.

It is a super-2 number, since 2×4314321110322 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 431432110988 and 431432111006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10499407 + ... + 10540417.

It is an arithmetic number, because the mean of its divisors is an integer number (9456546960).

Almost surely, 2431432111032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431432111032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453914254080).

431432111032 is an abundant number, since it is smaller than the sum of its proper divisors (476396397128).

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

431432111032 is a wasteful number, since it uses less digits than its factorization.

431432111032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41325 (or 41308 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 431432111032 its reverse (230111234134), we get a palindrome (661543345166).

The spelling of 431432111032 in words is "four hundred thirty-one billion, four hundred thirty-two million, one hundred eleven thousand, thirty-two".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 169 248 251 338 403 502 676 806 1004 1352 1612 2008 3224 3263 5239 6526 7781 10478 13052 15562 20956 26104 31124 41011 41912 42419 62248 82022 84838 101153 164044 169676 202306 328088 339352 404612 533143 809224 1066286 1271341 1314989 2132572 2542682 2629978 4265144 5085364 5259956 6930859 10170728 10293761 10519912 13861718 16527433 20587522 27723436 33054866 41175044 55446872 66109732 82350088 132219464 133818893 214856629 267637786 319106591 429713258 535275572 638213182 859426516 1070551144 1276426364 1718853032 1739645609 2552852728 3479291218 4148385683 6958582436 8296771366 13917164872 16593542732 33187085464 53929013879 107858027758 215716055516 431432111032