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31111796430 = 232511132199787
BaseRepresentation
bin11100111110011010…
…000101011011001110
32222022020100000100200
4130332122011123032
51002204104441210
622143105434330
72150656622601
oct347632053316
988266300320
1031111796430
1112215886160
12604333b9a6
132c1a816200
141711d78338
15c215400c0
hex73e6856ce

31111796430 has 288 divisors, whose sum is σ = 100594016640. Its totient is φ = 6594981120.

The previous prime is 31111796369. The next prime is 31111796459. The reversal of 31111796430 is 3469711113.

31111796430 is a `hidden beast` number, since 3 + 1 + 1 + 1 + 1 + 7 + 9 + 643 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3173997 + ... + 3183783.

It is an arithmetic number, because the mean of its divisors is an integer number (349284780).

Almost surely, 231111796430 is an apocalyptic number.

31111796430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31111796430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50297008320).

31111796430 is an abundant number, since it is smaller than the sum of its proper divisors (69482220210).

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

31111796430 is a wasteful number, since it uses less digits than its factorization.

31111796430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9856 (or 9840 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

It can be divided in two parts, 31111 and 796430, that added together give a triangular number (827541 = T1286).

The spelling of 31111796430 in words is "thirty-one billion, one hundred eleven million, seven hundred ninety-six thousand, four hundred thirty".