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131202134133440 = 2652231838594929
BaseRepresentation
bin11101110101001111100000…
…100110010100101011000000
3122012112210122022110121110112
4131311033200212110223000
5114144103432314232230
61143013232304250452
736431020123224056
oct3565174046245300
9565483568417415
10131202134133440
1138894570316367
121286ba29310a28
13582940104c236
142458307cda1d6
151027d067ded95
hex7753e0994ac0

131202134133440 has 56 divisors (see below), whose sum is σ = 313826091411840. Its totient is φ = 52245513474048.

The previous prime is 131202134133437. The next prime is 131202134133503. The reversal of 131202134133440 is 44331431202131.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 131202134133397 and 131202134133406.

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, 919226105 + ... + 919368824.

It is an arithmetic number, because the mean of its divisors is an integer number (5604037346640).

Almost surely, 2131202134133440 is an apocalyptic number.

131202134133440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131202134133440 is an abundant number, since it is smaller than the sum of its proper divisors (182623957278400).

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

131202134133440 is a wasteful number, since it uses less digits than its factorization.

131202134133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838595169 (or 1838595159 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 131202134133440 its reverse (44331431202131), we get a palindrome (175533565335571).

The spelling of 131202134133440 in words is "one hundred thirty-one trillion, two hundred two billion, one hundred thirty-four million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 223 320 446 892 1115 1784 2230 3568 4460 7136 8920 14272 17840 35680 71360 1838594929 3677189858 7354379716 9192974645 14708759432 18385949290 29417518864 36771898580 58835037728 73543797160 117670075456 147087594320 294175188640 410006669167 588350377280 820013338334 1640026676668 2050033345835 3280053353336 4100066691670 6560106706672 8200133383340 13120213413344 16400266766680 26240426826688 32800533533360 65601067066720 131202134133440