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31535880012 = 2235721331253
BaseRepresentation
bin11101010111101011…
…110101011101001100
310000101210022200200000
4131113223311131030
51004041141130022
622253135204300
72164326362100
oct352753653514
9100353280600
1031535880012
111241320045a
126141376690
132c8763a840
14175240b900
15c488ae6ac
hex757af574c

31535880012 has 648 divisors, whose sum is σ = 109029827088. Its totient is φ = 7896994560.

The previous prime is 31535879957. The next prime is 31535880053. The reversal of 31535880012 is 21008853513.

31535880012 is a `hidden beast` number, since 31 + 535 + 8 + 80 + 0 + 12 = 666.

It is a super-2 number, since 2×315358800122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 595016578 + ... + 595016630.

It is an arithmetic number, because the mean of its divisors is an integer number (168255906).

Almost surely, 231535880012 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 31535880012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54514913544).

31535880012 is an abundant number, since it is smaller than the sum of its proper divisors (77493947076).

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

31535880012 is a wasteful number, since it uses less digits than its factorization.

31535880012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 31535880012 in words is "thirty-one billion, five hundred thirty-five million, eight hundred eighty thousand, twelve".