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106156410111 = 3335291114117
BaseRepresentation
bin110001011011101101…
…0100100010011111111
3101011000020000101021000
41202313122210103333
53214402020110421
6120433444141343
710445440412013
oct1426732442377
9334006011230
10106156410111
1141025587144
12186a7697853
13a01a10cc6b
1451d0946543
152b6496b226
hex18b76a44ff

106156410111 has 16 divisors (see below), whose sum is σ = 157313461600. Its totient is φ = 70750822464.

The previous prime is 106156410079. The next prime is 106156410161. The reversal of 106156410111 is 111014651601.

106156410111 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 5 + 641 + 0 + 1 + 11 = 666.

It is not a de Polignac number, because 106156410111 - 25 = 106156410079 is a prime.

It is a super-2 number, since 2×1061564101112 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106156410161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461776 + ... + 652341.

It is an arithmetic number, because the mean of its divisors is an integer number (9832091350).

Almost surely, 2106156410111 is an apocalyptic number.

106156410111 is a deficient number, since it is larger than the sum of its proper divisors (51157051489).

106156410111 is a wasteful number, since it uses less digits than its factorization.

106156410111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117655 (or 1117649 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 106156410111 in words is "one hundred six billion, one hundred fifty-six million, four hundred ten thousand, one hundred eleven".

Divisors: 1 3 9 27 3529 10587 31761 95283 1114117 3342351 10027053 30081159 3931718893 11795156679 35385470037 106156410111