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101241200144 = 24741910212113
BaseRepresentation
bin101111001001001110…
…0100001111000010000
3100200022200011211202102
41132102130201320100
53124320221401034
6114302022135532
710212565000550
oct1362234417020
9320280154672
10101241200144
1139a33022147
12177555815a8
1397159caab6
144c85c37160
1529781b297e
hex1792721e10

101241200144 has 80 divisors (see below), whose sum is σ = 225038513280. Its totient is φ = 43222671360.

The previous prime is 101241200131. The next prime is 101241200173. The reversal of 101241200144 is 441002142101.

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, 47912432 + ... + 47914544.

It is an arithmetic number, because the mean of its divisors is an integer number (2812981416).

Almost surely, 2101241200144 is an apocalyptic number.

101241200144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101241200144 is an abundant number, since it is smaller than the sum of its proper divisors (123797313136).

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

101241200144 is a wasteful number, since it uses less digits than its factorization.

101241200144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3568 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 101241200144 its reverse (441002142101), we get a palindrome (542243342245).

The spelling of 101241200144 in words is "one hundred one billion, two hundred forty-one million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 419 838 1021 1676 2042 2113 2933 3352 4084 4226 5866 6704 7147 8168 8452 11732 14294 14791 16336 16904 23464 28588 29582 33808 46928 57176 59164 114352 118328 236656 427799 855598 885347 1711196 1770694 2157373 2994593 3422392 3541388 4314746 5989186 6197429 6844784 7082776 8629492 11978372 12394858 14165552 15101611 17258984 23956744 24789716 30203222 34517968 47913488 49579432 60406444 99158864 120812888 241625776 903939287 1807878574 3615757148 6327575009 7231514296 12655150018 14463028592 25310300036 50620600072 101241200144