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1012331001220 = 2257111016508493
BaseRepresentation
bin11101011101100111010…
…00010011010110000100
310120210000002101012010221
432232303220103112010
5113041223214014340
62053020342354124
7133065335350630
oct16566350232604
93523002335127
101012331001220
113603665056a0
1214424372b944
1374601b93a76
1436dd5dc7dc0
151b4ee0bb44a
hexebb3a13584

1012331001220 has 96 divisors (see below), whose sum is σ = 2676709276416. Its totient is φ = 312407616000.

The previous prime is 1012331001151. The next prime is 1012331001263. The reversal of 1012331001220 is 221001332101.

1012331001220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1012331001194 and 1012331001203.

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, 3098707 + ... + 3409786.

It is an arithmetic number, because the mean of its divisors is an integer number (27882388296).

Almost surely, 21012331001220 is an apocalyptic number.

1012331001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012331001220 is an abundant number, since it is smaller than the sum of its proper divisors (1664378275196).

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

1012331001220 is a wasteful number, since it uses less digits than its factorization.

1012331001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6508621 (or 6508619 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1012331001220 its reverse (221001332101), we get a palindrome (1233332333321).

The spelling of 1012331001220 in words is "one trillion, twelve billion, three hundred thirty-one million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 101 110 140 154 202 220 308 385 404 505 707 770 1010 1111 1414 1540 2020 2222 2828 3535 4444 5555 7070 7777 11110 14140 15554 22220 31108 38885 77770 155540 6508493 13016986 26033972 32542465 45559451 65084930 71593423 91118902 130169860 143186846 182237804 227797255 286373692 357967115 455594510 501153961 657357793 715934230 911189020 1002307922 1314715586 1431868460 2004615844 2505769805 2629431172 3286788965 4601504551 5011539610 6573577930 7230935723 9203009102 10023079220 13147155860 14461871446 18406018204 23007522755 28923742892 36154678615 46015045510 50616550061 72309357230 92030091020 101233100122 144618714460 202466200244 253082750305 506165500610 1012331001220