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151231151052 = 223271117150527
BaseRepresentation
bin1000110011011000010…
…1000011101111001100
3112110100120002110121200
42030312011003233030
54434210133313202
6153250304225500
713632435400632
oct2146605035714
9473316073550
10151231151052
1159156051163
122538700b290
131135165c7c7
1474690ad352
153e01c1ee1c
hex2336143bcc

151231151052 has 72 divisors (see below), whose sum is σ = 388001682432. Its totient is φ = 49656952800.

The previous prime is 151231150999. The next prime is 151231151081. The reversal of 151231151052 is 250151132151.

It is a happy number.

151231151052 is a `hidden beast` number, since 1 + 512 + 31 + 15 + 105 + 2 = 666.

It is a super-2 number, since 2×1512311510522 (a number of 23 digits) contains 22 as substring.

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, 2967813 + ... + 3018339.

It is an arithmetic number, because the mean of its divisors is an integer number (5388912256).

Almost surely, 2151231151052 is an apocalyptic number.

151231151052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151231151052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194000841216).

151231151052 is an abundant number, since it is smaller than the sum of its proper divisors (236770531380).

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

151231151052 is a wasteful number, since it uses less digits than its factorization.

151231151052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51779 (or 51774 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

The spelling of 151231151052 in words is "one hundred fifty-one billion, two hundred thirty-one million, one hundred fifty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1171 1278 2342 2556 3513 4684 7026 10539 14052 21078 42156 50527 83141 101054 151581 166282 202108 249423 303162 332564 454743 498846 606324 748269 909486 997692 1496538 1818972 2993076 3587417 7174834 10762251 14349668 21524502 32286753 43049004 59167117 64573506 118334234 129147012 177501351 236668468 355002702 532504053 710005404 1065008106 2130016212 4200865307 8401730614 12602595921 16803461228 25205191842 37807787763 50410383684 75615575526 151231151052