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120251350121331 = 311131862831504733
BaseRepresentation
bin11011010101111000110011…
…000000011111101101110011
3120202202220202100101011100110
4123111320303000133231303
5111230144231112340311
61103430412502152403
734220605362025542
oct3325706300375563
9522686670334313
10120251350121331
1135352347219610
12115a1625a22703
135213866122210
14219a2a6ccc159
15dd8030c608a6
hex6d5e3301fb73

120251350121331 has 32 divisors (see below), whose sum is σ = 188366887602432. Its totient is φ = 67273076741760.

The previous prime is 120251350121281. The next prime is 120251350121429. The reversal of 120251350121331 is 133121053152021.

It is a happy number.

It is not a de Polignac number, because 120251350121331 - 242 = 115853303610227 is a prime.

It is a super-2 number, since 2×1202513501213312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120251350121731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79163041 + ... + 80667773.

It is an arithmetic number, because the mean of its divisors is an integer number (5886465237576).

Almost surely, 2120251350121331 is an apocalyptic number.

120251350121331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120251350121331 is a deficient number, since it is larger than the sum of its proper divisors (68115537481101).

120251350121331 is a wasteful number, since it uses less digits than its factorization.

120251350121331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691043.

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 120251350121331 in words is "one hundred twenty trillion, two hundred fifty-one billion, three hundred fifty million, one hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 11 13 33 39 143 429 186283 558849 1504733 2049113 2421679 4514199 6147339 7265037 16552063 19561529 26638469 49656189 58684587 79915407 215176819 645530457 280306177439 840918532317 3083367951829 3643980306707 9250103855487 10931940920121 40083783373777 120251350121331