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10312550430432 = 253196917817379
BaseRepresentation
bin1001011000010001001111…
…1001111011011011100000
31100111212111101000012112020
42112010103321323123200
52322430100402233212
633533304213301440
72113025420230065
oct226042371733340
940455441005466
1010312550430432
113316589963478
1211a6784334880
1359a614180013
142791b7010c6c
1512d3be34cd8c
hex96113e7b6e0

10312550430432 has 96 divisors (see below), whose sum is σ = 28499359593600. Its totient is φ = 3256120078848.

The previous prime is 10312550430359. The next prime is 10312550430463. The reversal of 10312550430432 is 23403405521301.

10312550430432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10312550430393 and 10312550430402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12207919 + ... + 13025297.

It is an arithmetic number, because the mean of its divisors is an integer number (296868329100).

Almost surely, 210312550430432 is an apocalyptic number.

10312550430432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10312550430432 is an abundant number, since it is smaller than the sum of its proper divisors (18186809163168).

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

10312550430432 is a wasteful number, since it uses less digits than its factorization.

10312550430432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824328 (or 824320 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 10312550430432 its reverse (23403405521301), we get a palindrome (33715955951733).

The spelling of 10312550430432 in words is "ten trillion, three hundred twelve billion, five hundred fifty million, four hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 6917 13834 20751 27668 41502 55336 83004 110672 131423 166008 221344 262846 332016 394269 525692 664032 788538 817379 1051384 1577076 1634758 2102768 2452137 3154152 3269516 4205536 4904274 6308304 6539032 9808548 12616608 13078064 15530201 19617096 26156128 31060402 39234192 46590603 62120804 78468384 93181206 124241608 186362412 248483216 372724824 496966432 745449648 1490899296 5653810543 11307621086 16961431629 22615242172 33922863258 45230484344 67845726516 90460968688 107422400317 135691453032 180921937376 214844800634 271382906064 322267200951 429689601268 542765812128 644534401902 859379202536 1289068803804 1718758405072 2578137607608 3437516810144 5156275215216 10312550430432