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13032131233032 = 2332233776831857
BaseRepresentation
bin1011110110100100011110…
…0011011000010100001000
31201010212012122002021202100
42331221013203120110020
53202004301043424112
643414513424233400
72513353234516542
oct275510743302410
951125178067670
1013032131233032
11417499437473a
12156586a46b860
13736c03755642
14330a8952a692
15178ee04472dc
hexbda478d8508

13032131233032 has 48 divisors (see below), whose sum is σ = 35446837680540. Its totient is φ = 4325399774208.

The previous prime is 13032131232997. The next prime is 13032131233061. The reversal of 13032131233032 is 23033213123031.

13032131233032 is a `hidden beast` number, since 1 + 3 + 0 + 321 + 3 + 1 + 2 + 330 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12691021502916 + 341109730116 = 3562446^2 + 584046^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13032131232987 and 13032131233005.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388399153 + ... + 388432704.

Almost surely, 213032131233032 is an apocalyptic number.

13032131233032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13032131233032 is an abundant number, since it is smaller than the sum of its proper divisors (22414706447508).

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

13032131233032 is a wasteful number, since it uses less digits than its factorization.

13032131233032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776832102 (or 776832095 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13032131233032 its reverse (23033213123031), we get a palindrome (36065344356063).

The spelling of 13032131233032 in words is "thirteen trillion, thirty-two billion, one hundred thirty-one million, two hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 233 466 699 932 1398 1864 2097 2796 4194 5592 8388 16776 776831857 1553663714 2330495571 3107327428 4660991142 6214654856 6991486713 9321982284 13982973426 18643964568 27965946852 55931893704 181001822681 362003645362 543005468043 724007290724 1086010936086 1448014581448 1629016404129 2172021872172 3258032808258 4344043744344 6516065616516 13032131233032