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13300111200042 = 2323729761671017
BaseRepresentation
bin1100000110001010110001…
…1001110100111100101010
31202002110220121200002210200
43001202230121310330222
53220402111431400132
644141553045053030
72541621103614312
oct301425431647452
952073817602720
1013300111200042
114268600048257
1215a97983b7176
1375626c84c664
1433da2bc32442
15180e769add7c
hexc18ac674f2a

13300111200042 has 48 divisors (see below), whose sum is σ = 29596781495112. Its totient is φ = 4313398210560.

The previous prime is 13300111200023. The next prime is 13300111200049. The reversal of 13300111200042 is 24000211100331.

13300111200042 is a `hidden beast` number, since 13 + 300 + 111 + 200 + 0 + 42 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13296021469641 + 4089730401 = 3646371^2 + 63951^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13300111199988 and 13300111200024.

It is not an unprimeable number, because it can be changed into a prime (13300111200049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19485318 + ... + 20156334.

Almost surely, 213300111200042 is an apocalyptic number.

13300111200042 is an abundant number, since it is smaller than the sum of its proper divisors (16296670295070).

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

13300111200042 is a wasteful number, since it uses less digits than its factorization.

13300111200042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700823 (or 700820 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13300111200042 its reverse (24000211100331), we get a palindrome (37300322300373).

The spelling of 13300111200042 in words is "thirteen trillion, three hundred billion, one hundred eleven million, two hundred thousand, forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 29761 59522 89283 178566 267849 535698 671017 1101157 1342034 2013051 2202314 3303471 4026102 6039153 6606942 9910413 12078306 19820826 24827629 49655258 74482887 148965774 223448661 446897322 19970136937 39940273874 59910410811 119820821622 179731232433 359462464866 738895066669 1477790133338 2216685200007 4433370400014 6650055600021 13300111200042