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12320323211231 = 7198910117235981
BaseRepresentation
bin1011001101001000110001…
…1111010000111111011111
31121121210220111201020020122
42303102030133100333133
53103324010220224411
642111513420105155
72411054044253510
oct263221437207737
947553814636218
1012320323211231
113a20024298542
12146b9173951bb
136b4a55b5cb69
14308441cdca07
1516572e8e19db
hexb348c7d0fdf

12320323211231 has 64 divisors (see below), whose sum is σ = 15147687398400. Its totient is φ = 9786801024000.

The previous prime is 12320323211213. The next prime is 12320323211249. The reversal of 12320323211231 is 13211232302321.

It is an interprime number because it is at equal distance from previous prime (12320323211213) and next prime (12320323211249).

It is not a de Polignac number, because 12320323211231 - 230 = 12319249469407 is a prime.

It is a super-2 number, since 2×123203232112312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12320323211231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12320323211431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2059907261 + ... + 2059913241.

It is an arithmetic number, because the mean of its divisors is an integer number (236682615600).

Almost surely, 212320323211231 is an apocalyptic number.

12320323211231 is a deficient number, since it is larger than the sum of its proper divisors (2827364187169).

12320323211231 is a wasteful number, since it uses less digits than its factorization.

12320323211231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7920.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 12320323211231 its reverse (13211232302321), we get a palindrome (25531555513552).

The spelling of 12320323211231 in words is "twelve trillion, three hundred twenty billion, three hundred twenty-three million, two hundred eleven thousand, two hundred thirty-one".

Divisors: 1 7 19 89 101 133 623 707 1691 1723 1919 5981 8989 11837 12061 13433 32737 41867 62923 113639 153347 170791 174023 229159 532309 604081 795473 1073429 1195537 1218161 2913593 3306437 3726163 4228567 10113871 10305263 11477539 15488047 20395151 23145059 53763209 70797097 72136841 80342773 108416329 195799997 294272893 376342463 917168407 1021500971 1040831563 1370599979 2059910251 6420178849 7150506797 7285820941 17426199733 19775799697 92634009107 121983398131 138430597879 648438063749 1760046173033 12320323211231