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102431112990 = 235191019176353
BaseRepresentation
bin101111101100101011…
…1101011111100011110
3100210101121012200022120
41133121113223330132
53134234331103430
6115020050123410
710254224044323
oct1373127537436
9323347180276
10102431112990
113a493769298
1217a27b80566
13987539cb3b
144d59c9cb4a
1529e78a9610
hex17d95ebf1e

102431112990 has 64 divisors (see below), whose sum is σ = 259028755200. Its totient is φ = 25851792384.

The previous prime is 102431112961. The next prime is 102431112991. The reversal of 102431112990 is 99211134201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102431112991) 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, 492654 + ... + 669006.

It is an arithmetic number, because the mean of its divisors is an integer number (4047324300).

Almost surely, 2102431112990 is an apocalyptic number.

102431112990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102431112990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129514377600).

102431112990 is an abundant number, since it is smaller than the sum of its proper divisors (156597642210).

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

102431112990 is a wasteful number, since it uses less digits than its factorization.

102431112990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177401.

The product of its (nonzero) digits is 3888, while the sum is 33.

It can be divided in two parts, 1024311 and 12990, that added together give a palindrome (1037301).

The spelling of 102431112990 in words is "one hundred two billion, four hundred thirty-one million, one hundred twelve thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 1019 2038 3057 5095 6114 10190 15285 19361 30570 38722 58083 96805 116166 176353 193610 290415 352706 529059 580830 881765 1058118 1763530 2645295 3350707 5290590 6701414 10052121 16753535 20104242 33507070 50260605 100521210 179703707 359407414 539111121 898518535 1078222242 1797037070 2695555605 3414370433 5391111210 6828740866 10243111299 17071852165 20486222598 34143704330 51215556495 102431112990