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1013122301220 = 2232519296234591
BaseRepresentation
bin11101011111000101100…
…10110111110100100100
310120212001020100101200100
432233202302313310210
5113044333302114340
62053231050544100
7133124054321001
oct16574262676444
93525036311610
101013122301220
11360732144037
12144424738030
13746c9abba13
143706d12a8a8
151b5487c5830
hexebe2cb7d24

1013122301220 has 72 divisors (see below), whose sum is σ = 3234881744640. Its totient is φ = 255946685760.

The previous prime is 1013122301197. The next prime is 1013122301231. The reversal of 1013122301220 is 221032213101.

1013122301220 is a `hidden beast` number, since 1 + 0 + 1 + 312 + 230 + 122 + 0 = 666.

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 = 1013122301193 and 1013122301202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148113876 + ... + 148120715.

It is an arithmetic number, because the mean of its divisors is an integer number (44928913120).

Almost surely, 21013122301220 is an apocalyptic number.

1013122301220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013122301220 is an abundant number, since it is smaller than the sum of its proper divisors (2221759443420).

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

1013122301220 is a wasteful number, since it uses less digits than its factorization.

1013122301220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296234625 (or 296234620 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1013122301220 its reverse (221032213101), we get a palindrome (1234154514321).

The spelling of 1013122301220 in words is "one trillion, thirteen billion, one hundred twenty-two million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 296234591 592469182 888703773 1184938364 1481172955 1777407546 2666111319 2962345910 3554815092 4443518865 5332222638 5628457229 5924691820 8887037730 10664445276 11256914458 13330556595 16885371687 17774075460 22513828916 26661113190 28142286145 33770743374 50656115061 53322226380 56284572290 67541486748 84426858435 101312230122 112569144580 168853716870 202624460244 253280575305 337707433740 506561150610 1013122301220