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105232790991 = 33147167144163
BaseRepresentation
bin110001000000001011…
…1001111010111001111
3101001121212001200000110
41202000113033113033
53211004043302431
6120202051531103
710413523651626
oct1420027172717
9331555050013
10105232790991
11406a1192459
121848a2b9a93
139c00966a83
145143ddc6bd
152b0d826346
hex18805cf5cf

105232790991 has 32 divisors (see below), whose sum is σ = 148804927488. Its totient is φ = 66049261920.

The previous prime is 105232790989. The next prime is 105232791023. The reversal of 105232790991 is 199097232501.

It is not a de Polignac number, because 105232790991 - 21 = 105232790989 is a prime.

It is a super-2 number, since 2×1052327909912 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105232790991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105232790911) 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, 657876 + ... + 802038.

It is an arithmetic number, because the mean of its divisors is an integer number (4650153984).

Almost surely, 2105232790991 is an apocalyptic number.

105232790991 is a deficient number, since it is larger than the sum of its proper divisors (43572136497).

105232790991 is a wasteful number, since it uses less digits than its factorization.

105232790991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144411.

The product of its (nonzero) digits is 306180, while the sum is 48.

The spelling of 105232790991 in words is "one hundred five billion, two hundred thirty-two million, seven hundred ninety thousand, nine hundred ninety-one".

Divisors: 1 3 31 47 93 141 167 501 1457 4371 5177 7849 15531 23547 144163 243319 432489 729957 4469053 6775661 13407159 20326983 24075221 72225663 210045491 630136473 746331851 1131535387 2238995553 3394606161 35077596997 105232790991