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13021310003022 = 23231120134135693
BaseRepresentation
bin1011110101111100001010…
…0011101010011101001110
31201002211021111000211211200
42331133002203222131032
53201320120330044042
643405523543530330
72512521125550156
oct275370243523516
951084244024750
1013021310003022
114170341039442
12156374a4599a6
13735b9a891069
143303402b3766
15178aaa41bc4c
hexbd7c28ea74e

13021310003022 has 96 divisors (see below), whose sum is σ = 29160840174336. Its totient is φ = 4194958464000.

The previous prime is 13021310003017. The next prime is 13021310003029. The reversal of 13021310003022 is 22030001312031.

13021310003022 is a `hidden beast` number, since 1 + 30 + 21 + 310 + 0 + 0 + 302 + 2 = 666.

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 = 13021310002986 and 13021310003004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13021310003029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2287246408 + ... + 2287252100.

It is an arithmetic number, because the mean of its divisors is an integer number (303758751816).

Almost surely, 213021310003022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13021310003022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14580420087168).

13021310003022 is an abundant number, since it is smaller than the sum of its proper divisors (16139530171314).

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

13021310003022 is a wasteful number, since it uses less digits than its factorization.

13021310003022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10346 (or 10343 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13021310003022 its reverse (22030001312031), we get a palindrome (35051311315053).

The spelling of 13021310003022 in words is "thirteen trillion, twenty-one billion, three hundred ten million, three thousand, twenty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 1201 2402 3413 3603 5693 6826 7206 10239 10809 11386 17079 20478 21618 30717 34158 37231 51237 61434 74462 102474 105803 111693 176483 211606 223386 317409 335079 352966 529449 634818 670158 952227 1058898 1588347 1904454 3176694 4099013 6837293 8198026 12297039 13674586 19430209 20511879 24594078 36891117 38860418 41023758 58290627 61535637 73782234 116581254 123071274 127069403 174871881 211956083 254138806 349743762 381208209 423912166 602336479 635868249 762416418 1143624627 1204672958 1271736498 1807009437 1907604747 2287249254 3614018874 3815209494 5421028311 10842056622 23335681009 46671362018 70007043027 140014086054 210021129081 420042258162 723406111279 1446812222558 2170218333837 4340436667674 6510655001511 13021310003022