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102294851412 = 2231319191318041
BaseRepresentation
bin101111101000100111…
…1111000111101010100
3100210001002210212120110
41133101033320331110
53133444440221122
6114554341403020
710250650614255
oct1372117707524
9323032725513
10102294851412
113a42385aa16
12179aa409470
1398530a12a0
144d45b4cb2c
1529da94090c
hex17d13f8f54

102294851412 has 96 divisors (see below), whose sum is σ = 270733921920. Its totient is φ = 29801502720.

The previous prime is 102294851369. The next prime is 102294851467. The reversal of 102294851412 is 214158492201.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 5661112 + ... + 5679152.

It is an arithmetic number, because the mean of its divisors is an integer number (2820145020).

Almost surely, 2102294851412 is an apocalyptic number.

102294851412 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 102294851412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135366960960).

102294851412 is an abundant number, since it is smaller than the sum of its proper divisors (168439070508).

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

102294851412 is a wasteful number, since it uses less digits than its factorization.

102294851412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19993 (or 19991 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 102294851412 in words is "one hundred two billion, two hundred ninety-four million, eight hundred fifty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 988 1482 1913 2964 3826 5739 7652 11478 18041 22956 24869 36082 36347 49738 54123 72164 72694 74607 99476 108246 109041 145388 149214 216492 218082 234533 298428 342779 436164 469066 472511 685558 703599 938132 945022 1028337 1371116 1407198 1417533 1890044 2056674 2814396 2835066 4113348 4456127 5670132 8912254 13368381 17824508 26736762 34512433 53473524 69024866 103537299 138049732 207074598 414149196 448661629 655736227 897323258 1311472454 1345984887 1794646516 1967208681 2622944908 2691969774 3934417362 5383939548 7868834724 8524570951 17049141902 25573712853 34098283804 51147425706 102294851412