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120130331211020 = 225132320088684149
BaseRepresentation
bin11011010100001000000101…
…101101111111010100001100
3120202100100101022221112200002
4123110020011231333110030
5111221203404242223040
61103255040131023432
734206062411202254
oct3324100555772414
9522310338845602
10120130331211020
1135305a951a5059
1211582090a3ab78
13520531ab09550
1421944a6514964
15dd4ceb5e0a15
hex6d4205b7f50c

120130331211020 has 48 divisors (see below), whose sum is σ = 283491510724800. Its totient is φ = 42427300920576.

The previous prime is 120130331210947. The next prime is 120130331211167. The reversal of 120130331211020 is 20112133031021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 120130331210983 and 120130331211001.

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 15 ways as a sum of consecutive naturals, for example, 10044336095 + ... + 10044348054.

It is an arithmetic number, because the mean of its divisors is an integer number (5906073140100).

Almost surely, 2120130331211020 is an apocalyptic number.

120130331211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120130331211020 is an abundant number, since it is smaller than the sum of its proper divisors (163361179513780).

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

120130331211020 is a wasteful number, since it uses less digits than its factorization.

120130331211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20088684194 (or 20088684192 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 120130331211020 its reverse (20112133031021), we get a palindrome (140242464242041).

The spelling of 120130331211020 in words is "one hundred twenty trillion, one hundred thirty billion, three hundred thirty-one million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1196 1495 2990 5980 20088684149 40177368298 80354736596 100443420745 200886841490 261152893937 401773682980 462039735427 522305787874 924079470854 1044611575748 1305764469685 1848158941708 2310198677135 2611528939370 4620397354270 5223057878740 6006516560551 9240794708540 12013033121102 24026066242204 30032582802755 60065165605510 120130331211020