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151113311272 = 237211233150407
BaseRepresentation
bin1000110010111100001…
…1100010010000101000
3112110001100100120211101
42030233003202100220
54433440001430042
6153230454411144
713626504644500
oct2145703422050
9473040316741
10151113311272
11590a5585410
1225353660ab4
1311333110c21
147457596a00
153de66e46b7
hex232f0e2428

151113311272 has 96 divisors (see below), whose sum is σ = 361105542720. Its totient is φ = 58622242560.

The previous prime is 151113311263. The next prime is 151113311303. The reversal of 151113311272 is 272113311151.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 151113311272.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 929493 + ... + 1079899.

It is an arithmetic number, because the mean of its divisors is an integer number (3761516070).

Almost surely, 2151113311272 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 151113311272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180552771360).

151113311272 is an abundant number, since it is smaller than the sum of its proper divisors (209992231448).

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

151113311272 is a wasteful number, since it uses less digits than its factorization.

151113311272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150671 (or 150660 counting only the distinct ones).

The product of its digits is 1260, while the sum is 28.

The spelling of 151113311272 in words is "one hundred fifty-one billion, one hundred thirteen million, three hundred eleven thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 233 308 392 466 539 616 932 1078 1631 1864 2156 2563 3262 4312 5126 6524 10252 11417 13048 17941 20504 22834 35882 45668 71764 91336 125587 143528 150407 251174 300814 502348 601628 1004696 1052849 1203256 1654477 2105698 3308954 4211396 6617908 7369943 8422792 11581339 13235816 14739886 23162678 29479772 35044831 46325356 58959544 70089662 81069373 92650712 140179324 162138746 245313817 280358648 324277492 385493141 490627634 648554984 770986282 981255268 1541972564 1717196719 1962510536 2698451987 3083945128 3434393438 5396903974 6868786876 10793807948 13737573752 18889163909 21587615896 37778327818 75556655636 151113311272