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31697111040 = 211357147401
BaseRepresentation
bin11101100001010010…
…111000100000000000
310000211000201002001120
4131201102320200000
51004403430023130
622321135032240
72201324666310
oct354122704000
9100730632046
1031697111040
1112496213741
12618736b680
132cb1b6c70a
1417699bb440
15c57b0b910
hex7614b8800

31697111040 has 192 divisors, whose sum is σ = 115893348480. Its totient is φ = 7245004800.

The previous prime is 31697110969. The next prime is 31697111071. The reversal of 31697111040 is 4011179613.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 31697110992 and 31697111010.

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, 141340 + ... + 288740.

It is an arithmetic number, because the mean of its divisors is an integer number (603611190).

Almost surely, 231697111040 is an apocalyptic number.

31697111040 is a gapful number since it is divisible by the number (30) 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 31697111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57946674240).

31697111040 is an abundant number, since it is smaller than the sum of its proper divisors (84196237440).

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

31697111040 is a wasteful number, since it uses less digits than its factorization.

31697111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147438 (or 147418 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The spelling of 31697111040 in words is "thirty-one billion, six hundred ninety-seven million, one hundred eleven thousand, forty".