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1357105724106 = 231125938382723
BaseRepresentation
bin10011101111111001110…
…011011111101011001010
311210201221000211210211220
4103233321303133223022
5134213323031132411
62515240141302510
7200022226216056
oct23577163375312
94721830753756
101357105724106
114835aa88aa00
1219b023b64a36
139ac89039132
14499818b6c66
152547c519b06
hex13bf9cdfaca

1357105724106 has 96 divisors (see below), whose sum is σ = 3041913692160. Its totient is φ = 403213499040.

The previous prime is 1357105724101. The next prime is 1357105724153. The reversal of 1357105724106 is 6014275017531.

It is not an unprimeable number, because it can be changed into a prime (1357105724101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16364061 + ... + 16446783.

It is an arithmetic number, because the mean of its divisors is an integer number (31686600960).

Almost surely, 21357105724106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1357105724106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520956846080).

1357105724106 is an abundant number, since it is smaller than the sum of its proper divisors (1684807968054).

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

1357105724106 is a wasteful number, since it uses less digits than its factorization.

1357105724106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83192 (or 83181 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 1357105724106 in words is "one trillion, three hundred fifty-seven billion, one hundred five million, seven hundred twenty-four thousand, one hundred six".

Divisors: 1 2 3 6 11 22 33 59 66 118 121 177 242 354 363 383 649 726 766 1149 1298 1947 2298 3894 4213 7139 8426 12639 14278 21417 22597 25278 42834 45194 46343 67791 82723 92686 135582 139029 165446 248169 248567 278058 496338 497134 745701 909953 1491402 1819906 2729859 2734237 4880657 5459718 5468474 8202711 9761314 10009483 14641971 16405422 20018966 29283942 30028449 31682909 53687227 60056898 63365818 95048727 107374454 161061681 190097454 322123362 348511999 590559497 697023998 1045535997 1181118994 1771678491 1869291631 2091071994 3543356982 3738583262 3833631989 5607874893 7667263978 11215749786 11500895967 20562207941 23001791934 41124415882 61686623823 123373247646 226184287351 452368574702 678552862053 1357105724106