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102643357124 = 227113674571987
BaseRepresentation
bin101111110011000000…
…1010101010111000100
3100210221101120210112102
41133212001111113010
53140203144411444
6115053111211232
710262412066020
oct1374601252704
9323841523472
10102643357124
113a592554470
1217a87076b18
1398aa353299
144d7a14b380
152a0b33184e
hex17e60555c4

102643357124 has 96 divisors (see below), whose sum is σ = 225163997184. Its totient is φ = 39774654720.

The previous prime is 102643357123. The next prime is 102643357133. The reversal of 102643357124 is 421753346201.

It is not an unprimeable number, because it can be changed into a prime (102643357123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51656459 + ... + 51658445.

It is an arithmetic number, because the mean of its divisors is an integer number (2345458304).

Almost surely, 2102643357124 is an apocalyptic number.

102643357124 is a gapful number since it is divisible by the number (14) 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 102643357124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112581998592).

102643357124 is an abundant number, since it is smaller than the sum of its proper divisors (122520640060).

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

102643357124 is a wasteful number, since it uses less digits than its factorization.

102643357124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 102643357124 in words is "one hundred two billion, six hundred forty-three million, three hundred fifty-seven thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 367 457 734 914 1468 1828 1987 2569 3199 3974 4037 5027 5138 6398 7948 8074 10054 10276 12796 13909 16148 20108 21857 27818 28259 35189 43714 55636 56518 70378 87428 113036 140756 152999 167719 305998 335438 611996 670876 729229 908059 1174033 1458458 1816118 1844909 2348066 2916916 3632236 3689818 4696132 5104603 6356413 7379636 8021519 9988649 10209206 12712826 12914363 16043038 19977298 20418412 25425652 25828726 32086076 39954596 51657452 56150633 69920543 112301266 139841086 224602532 279682172 333257653 666515306 1333030612 2332803571 3665834183 4665607142 7331668366 9331214284 14663336732 25660839281 51321678562 102643357124