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133055111010042 = 2341399496350293
BaseRepresentation
bin11110010000001101001110…
…101000001001011011111010
3122110002221111110100221120000
4132100031032220021123322
5114414433331404310132
61150552401341413430
740011625454625324
oct3620151650113372
9573087443327500
10133055111010042
11394393a04754a1
1212b0ab7b56a276
1359320739b06b0
1424bdc8a502614
15105b10721587c
hex79034ea096fa

133055111010042 has 80 divisors (see below), whose sum is σ = 321108331374600. Its totient is φ = 40935912720768.

The previous prime is 133055111009969. The next prime is 133055111010043. The reversal of 133055111010042 is 240010111550331.

133055111010042 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 5 + 511 + 1 + 0 + 100 + 42 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72064462268241 + 60990648741801 = 8489079^2 + 7809651^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 133055111009988 and 133055111010015.

It is not an unprimeable number, because it can be changed into a prime (133055111010043) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 17777448 + ... + 24127740.

Almost surely, 2133055111010042 is an apocalyptic number.

133055111010042 is an abundant number, since it is smaller than the sum of its proper divisors (188053220364558).

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

133055111010042 is a wasteful number, since it uses less digits than its factorization.

133055111010042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6360269 (or 6360260 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 133055111010042 its reverse (240010111550331), we get a palindrome (373065222560373).

The spelling of 133055111010042 in words is "one hundred thirty-three trillion, fifty-five billion, one hundred eleven million, ten thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 9949 19898 29847 59694 89541 129337 179082 258674 268623 388011 537246 776022 805869 1164033 1611738 2328066 3492099 6350293 6984198 10476297 12700586 19050879 20952594 38101758 57152637 82553809 114305274 165107618 171457911 247661427 342915822 495322854 514373733 742984281 1028747466 1485968562 2228952843 4457905686 6686858529 13373717058 63179065057 126358130114 189537195171 379074390342 568611585513 821327845741 1137223171026 1642655691482 1705834756539 2463983537223 3411669513078 4927967074446 5117504269617 7391950611669 10235008539234 14783901223338 22175851835007 44351703670014 66527555505021 133055111010042