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106113536421651 = 32113173381242597
BaseRepresentation
bin11000001000001001111011…
…101001001110111100010011
3111220201100120210122220001200
4120020021323221032330103
5102402031010310443101
61013403515145202243
731231310232256203
oct3010117351167423
9456640523586050
10106113536421651
11308a1552a32660
12ba99620790383
134729604552115
141c2bccb744403
15c403cb053986
hex60827ba4ef13

106113536421651 has 24 divisors (see below), whose sum is σ = 167736682801584. Its totient is φ = 64108359620160.

The previous prime is 106113536421587. The next prime is 106113536421703. The reversal of 106113536421651 is 156124635311601.

106113536421651 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 13 + 536 + 42 + 1 + 65 + 1 = 666.

It is not a de Polignac number, because 106113536421651 - 26 = 106113536421587 is a prime.

It is a super-2 number, since 2×1061135364216512 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106113536421597 and 106113536421606.

It is not an unprimeable number, because it can be changed into a prime (106113536521651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1690589916 + ... + 1690652681.

It is an arithmetic number, because the mean of its divisors is an integer number (6989028450066).

Almost surely, 2106113536421651 is an apocalyptic number.

106113536421651 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106113536421651 is a deficient number, since it is larger than the sum of its proper divisors (61623146379933).

106113536421651 is a wasteful number, since it uses less digits than its factorization.

106113536421651 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381242931 (or 3381242928 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 106113536421651 in words is "one hundred six trillion, one hundred thirteen billion, five hundred thirty-six million, four hundred twenty-one thousand, six hundred fifty-one".

Divisors: 1 3 9 11 33 99 317 951 2853 3487 10461 31383 3381242597 10143727791 30431183373 37193668567 111581005701 334743017103 1071853903249 3215561709747 9646685129241 11790392935739 35371178807217 106113536421651