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106235863167 = 3743178365983
BaseRepresentation
bin110001011110000100…
…1101010000001111111
3101011012202112000100210
41202330021222001333
53220032340110132
6120445403123503
710450423636410
oct1427411520177
9334182460323
10106235863167
1141066414425
121870a213593
13a03070b3c5
1451db309807
152b6b912bcc
hex18bc26a07f

106235863167 has 32 divisors (see below), whose sum is σ = 165743362048. Its totient is φ = 59260281696.

The previous prime is 106235863127. The next prime is 106235863171. The reversal of 106235863167 is 761368532601.

It is not a de Polignac number, because 106235863167 - 26 = 106235863103 is a prime.

It is a super-2 number, since 2×1062358631672 (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 (106235863127) 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 31 ways as a sum of consecutive naturals, for example, 1577058 + ... + 1643040.

It is an arithmetic number, because the mean of its divisors is an integer number (5179480064).

Almost surely, 2106235863167 is an apocalyptic number.

106235863167 is a deficient number, since it is larger than the sum of its proper divisors (59507498881).

106235863167 is a wasteful number, since it uses less digits than its factorization.

106235863167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67819.

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 106235863167 in words is "one hundred six billion, two hundred thirty-five million, eight hundred sixty-three thousand, one hundred sixty-seven".

Divisors: 1 3 7 21 43 129 301 903 1783 5349 12481 37443 65983 76669 197949 230007 461881 536683 1385643 1610049 2837269 8511807 19860883 59582649 117647689 352943067 823533823 2470601469 5058850627 15176551881 35411954389 106235863167