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142121020121241 = 3710914162008481
BaseRepresentation
bin100000010100001000100000…
…111010110110000010011001
3200122012122012020210112022220
4200110020200322312002121
5122112002322122334431
61222133254553134253
741635622236613010
oct4024104072660231
9618178166715286
10142121020121241
1141314205853357
1213b3400a0ba389
13613bc545c2965
1427149a078ba77
151166d61cc7b96
hex814220eb6099

142121020121241 has 16 divisors (see below), whose sum is σ = 216567351758208. Its totient is φ = 81211266086400.

The previous prime is 142121020121231. The next prime is 142121020121273.

142121020121241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 142121020121241 - 210 = 142121020120217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (142121020121231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28712280 + ... + 33296201.

It is an arithmetic number, because the mean of its divisors is an integer number (13535459484888).

Almost surely, 2142121020121241 is an apocalyptic number.

It is an amenable number.

142121020121241 is a deficient number, since it is larger than the sum of its proper divisors (74446331636967).

142121020121241 is a wasteful number, since it uses less digits than its factorization.

142121020121241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62117632.

The product of its (nonzero) digits is 512, while the sum is 24.

The spelling of 142121020121241 in words is "one hundred forty-two trillion, one hundred twenty-one billion, twenty million, one hundred twenty-one thousand, two hundred forty-one".

Divisors: 1 3 7 21 109141 327423 763987 2291961 62008481 186025443 434059367 1302178101 6767667624821 20303002874463 47373673373747 142121020121241