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102091235712 = 273436739187
BaseRepresentation
bin101111100010100011…
…1001010000110000000
3100202111220200010100020
41133011013022012000
53133040324020322
6114522225253440
710242626120424
oct1370507120600
9322456603306
10102091235712
113a329928484
1217952194280
13981cb4c31b
144d26aa8b84
1529c7b2005c
hex17c51ca180

102091235712 has 128 divisors (see below), whose sum is σ = 277928914560. Its totient is φ = 33186004992.

The previous prime is 102091235711. The next prime is 102091235747. The reversal of 102091235712 is 217532190201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102091235711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11107983 + ... + 11117169.

It is an arithmetic number, because the mean of its divisors is an integer number (2171319645).

Almost surely, 2102091235712 is an apocalyptic number.

102091235712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102091235712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138964457280).

102091235712 is an abundant number, since it is smaller than the sum of its proper divisors (175837678848).

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

102091235712 is an equidigital number, since it uses as much as digits as its factorization.

102091235712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9920 (or 9908 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 102091235712 in words is "one hundred two billion, ninety-one million, two hundred thirty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 384 516 673 688 1032 1346 1376 2019 2064 2692 2752 4038 4128 5384 5504 8076 8256 9187 10768 16152 16512 18374 21536 27561 28939 32304 36748 43072 55122 57878 64608 73496 86144 86817 110244 115756 129216 146992 173634 220488 231512 258432 293984 347268 395041 440976 463024 587968 694536 790082 881952 926048 1175936 1185123 1389072 1580164 1763904 1852096 2370246 2778144 3160328 3527808 3704192 4740492 5556288 6182851 6320656 9480984 11112576 12365702 12641312 18548553 18961968 24731404 25282624 37097106 37923936 49462808 50565248 74194212 75847872 98925616 148388424 151695744 197851232 265862593 296776848 395702464 531725186 593553696 791404928 797587779 1063450372 1187107392 1595175558 2126900744 2374214784 3190351116 4253801488 6380702232 8507602976 12761404464 17015205952 25522808928 34030411904 51045617856 102091235712