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131001341122143 = 32179712793774177
BaseRepresentation
bin11101110010010100100000…
…011001110001011001011111
3122011211121100200222202222100
4131302110200121301121133
5114132311221311402033
61142341104005220143
736410351232621552
oct3562244031613137
9564747320882870
10131001341122143
11388173a1958028
1212838b30101653
1358134b165620b
14244c6da78c699
1510229a3924513
hex77252067165f

131001341122143 has 96 divisors (see below), whose sum is σ = 204234854713344. Its totient is φ = 80621759102976.

The previous prime is 131001341122103. The next prime is 131001341122151. The reversal of 131001341122143 is 341221143100131.

131001341122143 is a `hidden beast` number, since 1 + 3 + 10 + 0 + 13 + 411 + 221 + 4 + 3 = 666.

It is not a de Polignac number, because 131001341122143 - 212 = 131001341118047 is a prime.

It is a super-2 number, since 2×1310013411221432 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131001341122103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1766027071 + ... + 1766101247.

It is an arithmetic number, because the mean of its divisors is an integer number (2127446403264).

Almost surely, 2131001341122143 is an apocalyptic number.

131001341122143 is a deficient number, since it is larger than the sum of its proper divisors (73233513591201).

131001341122143 is a wasteful number, since it uses less digits than its factorization.

131001341122143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75361 (or 75358 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 131001341122143 its reverse (341221143100131), we get a palindrome (472222484222274).

The spelling of 131001341122143 in words is "one hundred thirty-one trillion, one billion, three hundred forty-one million, one hundred twenty-two thousand, one hundred forty-three".

Divisors: 1 3 9 17 51 97 127 153 291 381 873 937 1143 1649 2159 2811 4947 6477 8433 12319 14841 15929 19431 36957 47787 74177 90889 110871 118999 143361 209423 222531 272667 356997 628269 667593 818001 1070991 1261009 1545113 1884807 2022983 3783027 4635339 6068949 7195169 9420479 11349081 11542903 13906017 18206847 21585507 28261437 34628709 64756521 69503849 84784311 103886127 122317873 160148143 196229351 208511547 366953619 480444429 588688053 625534641 913786463 1100860857 1181565433 1441333287 1766064159 2741359389 3544696299 6741873353 8224078167 8826988823 10634088897 15534369871 20225620059 26480966469 46603109613 60676860177 79442899407 114611847001 139809328839 150058809991 343835541003 450176429973 856217915831 1031506623009 1350529289919 2568653747493 7705961242479 14555704569127 43667113707381 131001341122143