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151106001060 = 223572733472029
BaseRepresentation
bin1000110010111010011…
…1101001100010100100
3112110000211121012002210
42030232213221202210
54433431114013220
6153230034003420
713626355550100
oct2145647514244
9473024535083
10151106001060
11590a1442113
1225351116570
1311331751761
147456612900
153de5c4d6e0
hex232e9e98a4

151106001060 has 288 divisors, whose sum is σ = 500600338560. Its totient is φ = 33950472192.

The previous prime is 151106001047. The next prime is 151106001071. The reversal of 151106001060 is 60100601151.

It is a super-2 number, since 2×1511060010602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74472126 + ... + 74474154.

It is an arithmetic number, because the mean of its divisors is an integer number (1738195620).

Almost surely, 2151106001060 is an apocalyptic number.

151106001060 is a gapful number since it is divisible by the number (10) 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 151106001060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250300169280).

151106001060 is an abundant number, since it is smaller than the sum of its proper divisors (349494337500).

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

151106001060 is a wasteful number, since it uses less digits than its factorization.

151106001060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 151106001060 in words is "one hundred fifty-one billion, one hundred six million, one thousand, sixty".