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130334041224100 = 225271710952440439
BaseRepresentation
bin11101101000100111000010…
…001110101011001110100100
3122002110210221102111200011201
4131220213002032223032210
5114040343104023132400
61141110344300412244
736311216020233340
oct3550470216531644
9562423842450151
10130334041224100
113858a3a1518a8a
121274b73a847084
1357955a7aa233c
1424282b6350620
15101044a54b06a
hex7689c23ab3a4

130334041224100 has 72 divisors (see below), whose sum is σ = 342241858869120. Its totient is φ = 42057371281920.

The previous prime is 130334041224091. The next prime is 130334041224173. The reversal of 130334041224100 is 1422140433031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5476208320 + ... + 5476232119.

It is an arithmetic number, because the mean of its divisors is an integer number (4753359150960).

Almost surely, 2130334041224100 is an apocalyptic number.

130334041224100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130334041224100 is an abundant number, since it is smaller than the sum of its proper divisors (211907817645020).

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

130334041224100 is a wasteful number, since it uses less digits than its factorization.

130334041224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10952440477 (or 10952440470 counting only the distinct ones).

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

Adding to 130334041224100 its reverse (1422140433031), we get a palindrome (131756181657131).

The spelling of 130334041224100 in words is "one hundred thirty trillion, three hundred thirty-four billion, forty-one million, two hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1190 1700 2380 2975 5950 11900 10952440439 21904880878 43809761756 54762202195 76667083073 109524404390 153334166146 186191487463 219048808780 273811010975 306668332292 372382974926 383335415365 547622021950 744765949852 766670830730 930957437315 1095244043900 1303340412241 1533341661460 1861914874630 1916677076825 2606680824482 3723829749260 3833354153650 4654787186575 5213361648964 6516702061205 7666708307300 9309574373150 13033404122410 18619148746300 26066808244820 32583510306025 65167020612050 130334041224100