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102140324331040 = 2552039331303733
BaseRepresentation
bin10111001110010101100101…
…101111111011111000100000
3111101122112000211010222112201
4113032111211233323320200
5101341431341012043130
61001122341153102544
730341252311604212
oct2716254557737040
9441575024128481
10102140324331040
112a5aa517323886
12b55758bb57a54
1344cba39508958
141b31891dd85b2
15bc1d86bd6bca
hex5ce565bfbe20

102140324331040 has 48 divisors (see below), whose sum is σ = 241318356752088. Its totient is φ = 40854124988416.

The previous prime is 102140324330929. The next prime is 102140324331061. The reversal of 102140324331040 is 40133423041201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 91392758721936 + 10747565609104 = 9559956^2 + 3278348^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12388987 + ... + 18914746.

Almost surely, 2102140324331040 is an apocalyptic number.

102140324331040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102140324331040 is an abundant number, since it is smaller than the sum of its proper divisors (139178032421048).

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

102140324331040 is a wasteful number, since it uses less digits than its factorization.

102140324331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31324141 (or 31324133 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 102140324331040 its reverse (40133423041201), we get a palindrome (142273747372241).

The spelling of 102140324331040 in words is "one hundred two trillion, one hundred forty billion, three hundred twenty-four million, three hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 20393 40786 81572 101965 163144 203930 326288 407860 652576 815720 1631440 3262880 31303733 62607466 125214932 156518665 250429864 313037330 500859728 626074660 1001719456 1252149320 2504298640 5008597280 638377027069 1276754054138 2553508108276 3191885135345 5107016216552 6383770270690 10214032433104 12767540541380 20428064866208 25535081082760 51070162165520 102140324331040