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101516945214 = 23374111153257
BaseRepresentation
bin101111010001011100…
…0011010011100111110
3100201000220001010212210
41132202320122130332
53130401314221324
6114345232241250
710222453540206
oct1364270323476
9321026033783
10101516945214
113a06473a533
12178119a0226
13975ab85869
144cb06d5406
1529924ced29
hex17a2e1a73e

101516945214 has 32 divisors (see below), whose sum is σ = 213607197216. Its totient is φ = 32121377280.

The previous prime is 101516945207. The next prime is 101516945219. The reversal of 101516945214 is 412549615101.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101516945219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5567527 + ... + 5585730.

It is an arithmetic number, because the mean of its divisors is an integer number (6675224913).

Almost surely, 2101516945214 is an apocalyptic number.

101516945214 is an abundant number, since it is smaller than the sum of its proper divisors (112090252002).

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

101516945214 is a wasteful number, since it uses less digits than its factorization.

101516945214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11153340.

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 101516945214 in words is "one hundred one billion, five hundred sixteen million, nine hundred forty-five thousand, two hundred fourteen".

Divisors: 1 2 3 6 37 41 74 82 111 123 222 246 1517 3034 4551 9102 11153257 22306514 33459771 66919542 412670509 457283537 825341018 914567074 1238011527 1371850611 2476023054 2743701222 16919490869 33838981738 50758472607 101516945214