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102891605012 = 22723974673527
BaseRepresentation
bin101111111010011010…
…0010100110000010100
3100211120200201002121122
41133310310110300110
53141210222330022
6115133500103112
710301515132550
oct1376464246024
9324520632548
10102891605012
113a6aa6a0809
1217b36234a98
139919901321
144da10cc860
152a2301b742
hex17f4d14c14

102891605012 has 96 divisors (see below), whose sum is σ = 217470210048. Its totient is φ = 41643131904.

The previous prime is 102891604987. The next prime is 102891605029. The reversal of 102891605012 is 210506198201.

102891605012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29170793 + ... + 29174319.

It is an arithmetic number, because the mean of its divisors is an integer number (2265314688).

Almost surely, 2102891605012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102891605012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108735105024).

102891605012 is an abundant number, since it is smaller than the sum of its proper divisors (114578605036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102891605012 is a wasteful number, since it uses less digits than its factorization.

102891605012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4125 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 35.

The spelling of 102891605012 in words is "one hundred two billion, eight hundred ninety-one million, six hundred five thousand, twelve".

Divisors: 1 2 4 7 14 23 28 46 92 97 161 194 322 388 467 644 679 934 1358 1868 2231 2716 3269 3527 4462 6538 7054 8924 10741 13076 14108 15617 21482 24689 31234 42964 45299 49378 62468 75187 81121 90598 98756 150374 162242 181196 300748 317093 324484 342119 567847 634186 684238 1041877 1135694 1268372 1368476 1647109 2083754 2271388 2394833 3294218 4167508 4789666 6588436 7293139 7868737 9579332 11529763 14586278 15737474 23059526 29172556 31474948 37883507 46119052 55081159 75767014 110162318 151534028 159769573 220324636 265184549 319539146 530369098 639078292 1060738196 1118387011 2236774022 3674700179 4473548044 7349400358 14698800716 25722901253 51445802506 102891605012