Search a number
-
+
321013002133122 = 231321144943440941
BaseRepresentation
bin100100011111101011010100…
…1111101011101111010000010
31120002121112200001122022112220
41020333112221331131322002
5314033434112021224442
63054423200505431510
7124421265306541455
oct11077265175357202
91502545601568486
10321013002133122
1193314938a04512
1230006578a9b596
1310a1751c621c80
14593b17dc5d49c
15271a44167eeec
hex123f5a9f5de82

321013002133122 has 64 divisors (see below), whose sum is σ = 696236665622400. Its totient is φ = 98086167244800.

The previous prime is 321013002133093. The next prime is 321013002133171. The reversal of 321013002133122 is 221331200310123.

It is a junction number, because it is equal to n+sod(n) for n = 321013002133092 and 321013002133101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14330829 + ... + 29110112.

It is an arithmetic number, because the mean of its divisors is an integer number (10878697900350).

Almost surely, 2321013002133122 is an apocalyptic number.

321013002133122 is an abundant number, since it is smaller than the sum of its proper divisors (375223663489278).

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

321013002133122 is a wasteful number, since it uses less digits than its factorization.

321013002133122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43441619.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 321013002133122 its reverse (221331200310123), we get a palindrome (542344202443245).

The spelling of 321013002133122 in words is "three hundred twenty-one trillion, thirteen billion, two million, one hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 211 422 449 633 898 1266 1347 2694 2743 5486 5837 8229 11674 16458 17511 35022 94739 189478 284217 568434 1231607 2463214 3694821 7389642 43440941 86881882 130322823 260645646 564732233 1129464466 1694196699 3388393398 9166038551 18332077102 19504982509 27498115653 39009965018 54996231306 58514947527 117029895054 119158501163 238317002326 253564772617 357475503489 507129545234 714951006978 760694317851 1521388635702 4115551309399 8231102618798 12346653928197 24693307856394 53502167022187 107004334044374 160506501066561 321013002133122