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2131021220 = 2253110134031
BaseRepresentation
bin111111100000100…
…1100110110100100
312111111220002112212
41333001030312210
513331020134340
6551243102552
7103544244566
oct17701146644
95444802485
102131021220
119a39a6869
124b5811a58
1327c65c903
14163043336
15c7143a65
hex7f04cda4

2131021220 has 48 divisors (see below), whose sum is σ = 4665378816. Its totient is φ = 816720000.

The previous prime is 2131021169. The next prime is 2131021241. The reversal of 2131021220 is 221201312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2131021195 and 2131021204.

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, 45605 + ... + 79635.

It is an arithmetic number, because the mean of its divisors is an integer number (97195392).

Almost surely, 22131021220 is an apocalyptic number.

2131021220 is a gapful number since it is divisible by the number (20) 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 2131021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332689408).

2131021220 is an abundant number, since it is smaller than the sum of its proper divisors (2534357596).

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

2131021220 is a wasteful number, since it uses less digits than its factorization.

2131021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34172 (or 34170 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2131021220 is about 46162.9853887289. The cubic root of 2131021220 is about 1286.8539445094.

Adding to 2131021220 its reverse (221201312), we get a palindrome (2352222532).

The spelling of 2131021220 in words is "two billion, one hundred thirty-one million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 101 124 155 202 310 404 505 620 1010 2020 3131 6262 12524 15655 31310 34031 62620 68062 136124 170155 340310 680620 1054961 2109922 3437131 4219844 5274805 6874262 10549610 13748524 17185655 21099220 34371310 68742620 106551061 213102122 426204244 532755305 1065510610 2131021220