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422321101123224 = 233291016007754369
BaseRepresentation
bin110000000000110010100101…
…1001101101010111010011000
32001101022111120122222121212010
41200001211023031222322120
5420323302103341420344
64054111345133345520
7154645456403663442
oct14001451315527230
92041274518877763
10422321101123224
11112623411771a26
123b4487aa3382a0
131518592a754384
147640643ad1492
1533c581adc58b9
hex180194b36ae98

422321101123224 has 64 divisors (see below), whose sum is σ = 1103023702332000. Its totient is φ = 134573697843200.

The previous prime is 422321101123189. The next prime is 422321101123249.

422321101123224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4223211011232242 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 422321101123191 and 422321101123200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3003806889 + ... + 3003947480.

Almost surely, 2422321101123224 is an apocalyptic number.

It is an amenable number.

422321101123224 is an abundant number, since it is smaller than the sum of its proper divisors (680702601208776).

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

422321101123224 is a wasteful number, since it uses less digits than its factorization.

422321101123224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6007754508 (or 6007754504 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 42232110 and 1123224, that added together give a palindrome (43355334).

The spelling of 422321101123224 in words is "four hundred twenty-two trillion, three hundred twenty-one billion, one hundred one million, one hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 101 116 174 202 232 303 348 404 606 696 808 1212 2424 2929 5858 8787 11716 17574 23432 35148 70296 6007754369 12015508738 18023263107 24031017476 36046526214 48062034952 72093052428 144186104856 174224876701 348449753402 522674630103 606783191269 696899506804 1045349260206 1213566382538 1393799013608 1820349573807 2090698520412 2427132765076 3640699147614 4181397040824 4854265530152 7281398295228 14562796590456 17596712546801 35193425093602 52790137640403 70386850187204 105580275280806 140773700374408 211160550561612 422321101123224