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131020141031214 = 2385374398758151
BaseRepresentation
bin11101110010100110000000…
…111101101110111100101110
3122011220101212220100002221220
4131302212000331232330232
5114133113222100444324
61142353453304404210
736411615143331231
oct3562460075567456
9564811786302856
10131020141031214
1138824369a18a66
12128406b8176666
1358151b9507176
14244d5a151d418
151023204137b79
hex772980f6ef2e

131020141031214 has 32 divisors (see below), whose sum is σ = 262081441472256. Its totient is φ = 43666520884800.

The previous prime is 131020141031189. The next prime is 131020141031257. The reversal of 131020141031214 is 412130141020131.

It is a congruent number.

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, 2253073039 + ... + 2253131189.

It is an arithmetic number, because the mean of its divisors is an integer number (8190045046008).

Almost surely, 2131020141031214 is an apocalyptic number.

131020141031214 is an abundant number, since it is smaller than the sum of its proper divisors (131061300441042).

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

131020141031214 is a wasteful number, since it uses less digits than its factorization.

131020141031214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110680.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131020141031214 its reverse (412130141020131), we get a palindrome (543150282051345).

The spelling of 131020141031214 in words is "one hundred thirty-one trillion, twenty billion, one hundred forty-one million, thirty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 8537 17074 25611 43987 51222 58151 87974 116302 131961 174453 263922 348906 375517019 496435087 751034038 992870174 1126551057 1489305261 2253102114 2557888037 2978610522 5115776074 7673664111 15347328222 21836690171869 43673380343738 65510070515607 131020141031214