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106260257027151 = 3217896599606051
BaseRepresentation
bin11000001010010010100100…
…110111111011010001001111
3111221020101022000100220101200
4120022102210313323101033
5102411432001244332101
61013555142125040543
731245023140655433
oct3012224467732117
9457211260326350
10106260257027151
11309487a3990117
12bb01b490b6153
13473a3b7585156
141c350497609c3
15c44116ca0986
hex60a4a4dfb44f

106260257027151 has 12 divisors (see below), whose sum is σ = 153572832830040. Its totient is φ = 70800573704400.

The previous prime is 106260257027147. The next prime is 106260257027153. The reversal of 106260257027151 is 151720752062601.

106260257027151 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 6 + 0 + 2 + 570 + 2 + 71 + 5 + 1 = 666.

106260257027151 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 106260257027151 - 22 = 106260257027147 is a prime.

It is a super-2 number, since 2×1062602570271512 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106260257027097 and 106260257027106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106260257027153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3299786925 + ... + 3299819126.

It is an arithmetic number, because the mean of its divisors is an integer number (12797736069170).

Almost surely, 2106260257027151 is an apocalyptic number.

106260257027151 is a deficient number, since it is larger than the sum of its proper divisors (47312575802889).

106260257027151 is a wasteful number, since it uses less digits than its factorization.

106260257027151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6599607846 (or 6599607843 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 106260257027151 in words is "one hundred six trillion, two hundred sixty billion, two hundred fifty-seven million, twenty-seven thousand, one hundred fifty-one".

Divisors: 1 3 9 1789 5367 16101 6599606051 19798818153 59396454459 11806695225239 35420085675717 106260257027151