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130141342111120 = 2451795692163317
BaseRepresentation
bin11101100101110011100100…
…011101111001010110010000
3122001210101112220010110212021
4131211303210131321112100
5114024213432040023440
61140442035053541224
736261254530631254
oct3545634435712620
9561711486113767
10130141342111120
11385156a693130a
121271a3201a4814
135780378207872
14241cc35b50264
15100a41d02784a
hex765ce4779590

130141342111120 has 40 divisors (see below), whose sum is σ = 320377362788664. Its totient is φ = 48994387617792.

The previous prime is 130141342111117. The next prime is 130141342111133. The reversal of 130141342111120 is 21111243141031.

It can be written as a sum of positive squares in 4 ways, for example, as 2818463453584 + 127322878657536 = 1678828^2 + 11283744^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 47846080299 + ... + 47846083018.

Almost surely, 2130141342111120 is an apocalyptic number.

130141342111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130141342111120 is an abundant number, since it is smaller than the sum of its proper divisors (190236020677544).

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

130141342111120 is a wasteful number, since it uses less digits than its factorization.

130141342111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95692163347 (or 95692163341 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 130141342111120 its reverse (21111243141031), we get a palindrome (151252585252151).

The spelling of 130141342111120 in words is "one hundred thirty trillion, one hundred forty-one billion, three hundred forty-two million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 95692163317 191384326634 382768653268 478460816585 765537306536 956921633170 1531074613072 1626766776389 1913843266340 3253533552778 3827686532680 6507067105556 7655373065360 8133833881945 13014134211112 16267667763890 26028268422224 32535335527780 65070671055560 130141342111120