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106330527151 = 4314940940577
BaseRepresentation
bin110001100000111001…
…0110001010110101111
3101011110100122102221021
41203001302301112233
53220231103332101
6120503024115011
710452653365612
oct1430162612657
9334410572837
10106330527151
11411048a0922
1218735a65a67
13a0472041b4
145209b0c179
152b74db15a1
hex18c1cb15af

106330527151 has 16 divisors (see below), whose sum is σ = 109804068000. Its totient is φ = 102905929728.

The previous prime is 106330527059. The next prime is 106330527167. The reversal of 106330527151 is 151725033601.

It is a cyclic number.

It is not a de Polignac number, because 106330527151 - 215 = 106330494383 is a prime.

It is a super-2 number, since 2×1063305271512 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106330524151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2600175 + ... + 2640751.

It is an arithmetic number, because the mean of its divisors is an integer number (6862754250).

Almost surely, 2106330527151 is an apocalyptic number.

106330527151 is a deficient number, since it is larger than the sum of its proper divisors (3473540849).

106330527151 is a wasteful number, since it uses less digits than its factorization.

106330527151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41178.

The product of its (nonzero) digits is 18900, while the sum is 34.

The spelling of 106330527151 in words is "one hundred six billion, three hundred thirty million, five hundred twenty-seven thousand, one hundred fifty-one".

Divisors: 1 43 149 409 6407 17587 40577 60941 1744811 2620463 6045973 16595993 259976839 713627699 2472802957 106330527151