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131141100000404 = 221319415236190081
BaseRepresentation
bin11101110100010110101010…
…101011100101010010010100
3122012022222002201222101212202
4131310112222223211102110
5114142103433100003104
61142525220055104032
736423426465524204
oct3564265253452224
9565288081871782
10131141100000404
11388706a01218aa
1212860035072018
135823725293910
142455397d72404
1510264333b751e
hex7745aaae5494

131141100000404 has 96 divisors (see below), whose sum is σ = 267013396325760. Its totient is φ = 55835512012800.

The previous prime is 131141100000403. The next prime is 131141100000431. The reversal of 131141100000404 is 404000001141131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141100000403) 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, 18090644 + ... + 24280724.

It is an arithmetic number, because the mean of its divisors is an integer number (2781389545060).

Almost surely, 2131141100000404 is an apocalyptic number.

It is an amenable number.

131141100000404 is an abundant number, since it is smaller than the sum of its proper divisors (135872296325356).

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

131141100000404 is a wasteful number, since it uses less digits than its factorization.

131141100000404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6190681 (or 6190679 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 131141100000404 its reverse (404000001141131), we get a palindrome (535141101141535).

The spelling of 131141100000404 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred million, four hundred four", and thus it is an aban number.

Divisors: 1 2 4 13 19 26 38 41 52 76 82 164 247 494 523 533 779 988 1046 1066 1558 2092 2132 3116 6799 9937 10127 13598 19874 20254 21443 27196 39748 40508 42886 85772 129181 258362 278759 407417 516724 557518 814834 1115036 1629668 5296421 6190081 10592842 12380162 21185684 24760324 80471053 117611539 160942106 235223078 253793321 321884212 470446156 507586642 1015173284 1528950007 3057900014 3237412363 3299313173 4822073099 6115800028 6474824726 6598626346 9644146198 12949649452 13197252692 19288292396 42086360719 61510834897 62686950287 84172721438 123021669794 125373900574 132733906883 168345442876 246043339588 250747801148 265467813766 530935627532 799640853661 1599281707322 1725540789479 2521944230777 3198563414644 3451081578958 5043888461554 6902163157916 10087776923108 32785275000101 65570550000202 131141100000404