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10120716547116 = 22371098291133321
BaseRepresentation
bin1001001101000110100110…
…1101101111010000101100
31022211112100010201020011220
42103101221231233100230
52311304211414001431
633305220515343340
72063124535146330
oct223215155572054
938745303636156
1010120716547116
11325219870a63a
1211755675b1b50
135854c1926866
1426dbb96b97c0
151283e2c88b96
hex93469b6f42c

10120716547116 has 96 divisors (see below), whose sum is σ = 27239668431360. Its totient is φ = 2864737497600.

The previous prime is 10120716547043. The next prime is 10120716547141. The reversal of 10120716547116 is 61174561702101.

10120716547116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75845736 + ... + 75979056.

It is an arithmetic number, because the mean of its divisors is an integer number (283746546160).

Almost surely, 210120716547116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120716547116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13619834215680).

10120716547116 is an abundant number, since it is smaller than the sum of its proper divisors (17118951884244).

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

10120716547116 is a wasteful number, since it uses less digits than its factorization.

10120716547116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141735 (or 141733 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 42.

The spelling of 10120716547116 in words is "ten trillion, one hundred twenty billion, seven hundred sixteen million, five hundred forty-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 109 218 327 436 654 763 1308 1526 2289 3052 4578 8291 9156 16582 24873 33164 49746 58037 99492 116074 133321 174111 232148 266642 348222 399963 533284 696444 799926 903719 933247 1599852 1807438 1866494 2711157 2799741 3614876 3732988 5422314 5599482 6326033 10844628 11198964 12652066 14531989 18978099 25304132 29063978 37956198 43595967 58127956 75912396 87191934 101723923 174383868 203447846 305171769 406895692 610343538 1105364411 1220687076 2210728822 3316093233 4421457644 6632186466 7737550877 13264372932 15475101754 23212652631 30950203508 46425305262 92850610524 120484720799 240969441598 361454162397 481938883196 722908324794 843393045593 1445816649588 1686786091186 2530179136779 3373572182372 5060358273558 10120716547116