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32013131020 = 22513536433613
BaseRepresentation
bin11101110100001000…
…011001110100001100
310001122001100112222021
4131310020121310030
51011030330143040
622412344255524
72212213060333
oct356410316414
9101561315867
1032013131020
111263863a182
1262551715a4
1330324891a0
141799960d1a
15c7573224a
hex774219d0c

32013131020 has 96 divisors (see below), whose sum is σ = 73900112832. Its totient is φ = 11575968768.

The previous prime is 32013130949. The next prime is 32013131081. The reversal of 32013131020 is 2013131023.

It is a junction number, because it is equal to n+sod(n) for n = 32013130985 and 32013131003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8858734 + ... + 8862346.

It is an arithmetic number, because the mean of its divisors is an integer number (769792842).

Almost surely, 232013131020 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 32013131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36950056416).

32013131020 is an abundant number, since it is smaller than the sum of its proper divisors (41886981812).

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

32013131020 is a wasteful number, since it uses less digits than its factorization.

32013131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4331 (or 4329 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 32013131020 its reverse (2013131023), we get a palindrome (34026262043).

The spelling of 32013131020 in words is "thirty-two billion, thirteen million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 260 265 530 643 689 1060 1286 1378 2572 2756 3215 3445 3613 6430 6890 7226 8359 12860 13780 14452 16718 18065 33436 34079 36130 41795 46969 68158 72260 83590 93938 136316 167180 170395 187876 191489 234845 340790 382978 443027 469690 681580 765956 886054 939380 957445 1772108 1914890 2215135 2323159 2489357 3829780 4430270 4646318 4978714 8860540 9292636 9957428 11615795 12446785 23231590 24893570 30201067 46463180 49787140 60402134 120804268 123127427 151005335 246254854 302010670 492509708 604021340 615637135 1231274270 1600656551 2462548540 3201313102 6402626204 8003282755 16006565510 32013131020