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31013101021032 = 23321333133654937
BaseRepresentation
bin1110000110100110011001…
…10111101010011101101000
311001210211020100000000020100
413003103030313222131220
513031104312330133112
6145543115534025400
76350423361106644
oct703231467523550
9131724210000210
1031013101021032
11997764501aa59
12358a668948260
13143c6a49b9c30
14793083737c24
1538bac67992dc
hex1c34ccdea768

31013101021032 has 48 divisors (see below), whose sum is σ = 90454877980740. Its totient is φ = 9542492621568.

The previous prime is 31013101021031. The next prime is 31013101021099. The reversal of 31013101021032 is 23012010131013.

31013101021032 is a `hidden beast` number, since 3 + 101 + 310 + 10 + 210 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29443277459556 + 1569823561476 = 5426166^2 + 1252926^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31013101020996 and 31013101021014.

It is not an unprimeable number, because it can be changed into a prime (31013101021031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16566826533 + ... + 16566828404.

Almost surely, 231013101021032 is an apocalyptic number.

It is an amenable number.

31013101021032 is an abundant number, since it is smaller than the sum of its proper divisors (59441776959708).

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

31013101021032 is a wasteful number, since it uses less digits than its factorization.

31013101021032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33133654962 (or 33133654955 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31013101021032 its reverse (23012010131013), we get a palindrome (54025111152045).

The spelling of 31013101021032 in words is "thirty-one trillion, thirteen billion, one hundred one million, twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 33133654937 66267309874 99400964811 132534619748 198801929622 265069239496 298202894433 397603859244 430737514181 596405788866 795207718488 861475028362 1192811577732 1292212542543 1722950056724 2385623155464 2584425085086 3445900113448 3876637627629 5168850170172 7753275255258 10337700340344 15506550510516 31013101021032