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106330527153 = 3211814503017
BaseRepresentation
bin110001100000111001…
…0110001010110110001
3101011110100122102221100
41203001302301112301
53220231103332103
6120503024115013
710452653365614
oct1430162612661
9334410572840
10106330527153
11411048a0924
1218735a65a69
13a0472041b6
145209b0c17b
152b74db15a3
hex18c1cb15b1

106330527153 has 6 divisors (see below), whose sum is σ = 153588539234. Its totient is φ = 70887018096.

The previous prime is 106330527059. The next prime is 106330527167. The reversal of 106330527153 is 351725033601.

106330527153 is a `hidden beast` number, since 1 + 0 + 6 + 330 + 5 + 271 + 53 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81629061264 + 24701465889 = 285708^2 + 157167^2 .

It is not a de Polignac number, because 106330527153 - 29 = 106330526641 is a prime.

It is a super-2 number, since 2×1063305271532 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106310527153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5907251500 + ... + 5907251517.

Almost surely, 2106330527153 is an apocalyptic number.

It is an amenable number.

106330527153 is a deficient number, since it is larger than the sum of its proper divisors (47258012081).

106330527153 is a wasteful number, since it uses less digits than its factorization.

106330527153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11814503023 (or 11814503020 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 106330527153 in words is "one hundred six billion, three hundred thirty million, five hundred twenty-seven thousand, one hundred fifty-three".

Divisors: 1 3 9 11814503017 35443509051 106330527153