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101241010344 = 23327118778293
BaseRepresentation
bin101111001001001101…
…1110011100010101000
3100200022122211012101210
41132102123303202220
53124320144312334
6114302014113120
710212563250315
oct1362233634250
9320278735353
10101241010344
1139a32a02591
12177554ab7a0
1397159625a6
144c85bc7d0c
1529781765e9
hex17926f38a8

101241010344 has 64 divisors (see below), whose sum is σ = 254202474240. Its totient is φ = 33600510720.

The previous prime is 101241010301. The next prime is 101241010363. The reversal of 101241010344 is 443010142101.

101241010344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 101241010344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12203862 + ... + 12212154.

It is an arithmetic number, because the mean of its divisors is an integer number (3971913660).

Almost surely, 2101241010344 is an apocalyptic number.

It is an amenable number.

101241010344 is an abundant number, since it is smaller than the sum of its proper divisors (152961463896).

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

101241010344 is a wasteful number, since it uses less digits than its factorization.

101241010344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10450 (or 10446 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 101241010344 its reverse (443010142101), we get a palindrome (544251152445).

The spelling of 101241010344 in words is "one hundred one billion, two hundred forty-one million, ten thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 271 542 813 1084 1626 1877 2168 3252 3754 5631 6504 7508 8293 11262 15016 16586 22524 24879 33172 45048 49758 66344 99516 199032 508667 1017334 1526001 2034668 2247403 3052002 4069336 4494806 6104004 6742209 8989612 12208008 13484418 15565961 17979224 26968836 31131922 46697883 53937672 62263844 93395766 124527688 186791532 373583064 4218375431 8436750862 12655126293 16873501724 25310252586 33747003448 50620505172 101241010344