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131460716700 = 223252227643469
BaseRepresentation
bin111101001101110101…
…0110101100010011100
3110120022201112100020100
41322123222311202130
54123212420413300
6140220415221100
712332501440425
oct1723352654234
9416281470210
10131460716700
1150830169215
1221589b17790
13c5206c1541
1465114a464c
1536461ed700
hex1e9bab589c

131460716700 has 108 divisors (see below), whose sum is σ = 413872182360. Its totient is φ = 34901704320.

The previous prime is 131460716671. The next prime is 131460716701. The reversal of 131460716700 is 7617064131.

131460716700 is a `hidden beast` number, since 1 + 31 + 4 + 607 + 16 + 7 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131460716701) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117435 + ... + 526034.

Almost surely, 2131460716700 is an apocalyptic number.

131460716700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131460716700 is an abundant number, since it is smaller than the sum of its proper divisors (282411465660).

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

131460716700 is a wasteful number, since it uses less digits than its factorization.

131460716700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643716 (or 643706 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 131460716700 in words is "one hundred thirty-one billion, four hundred sixty million, seven hundred sixteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 227 300 450 454 681 900 908 1135 1362 2043 2270 2724 3405 4086 4540 5675 6810 8172 10215 11350 13620 17025 20430 22700 34050 40860 51075 68100 102150 204300 643469 1286938 1930407 2573876 3217345 3860814 5791221 6434690 7721628 9652035 11582442 12869380 16086725 19304070 23164884 28956105 32173450 38608140 48260175 57912210 64346900 96520350 115824420 144780525 146067463 193040700 289561050 292134926 438202389 579122100 584269852 730337315 876404778 1314607167 1460674630 1752809556 2191011945 2629214334 2921349260 3651686575 4382023890 5258428668 6573035835 7303373150 8764047780 10955059725 13146071670 14606746300 21910119450 26292143340 32865179175 43820238900 65730358350 131460716700