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20412311321402 = 271113671071422229
BaseRepresentation
bin1001010010000100111001…
…00100001011101100111010
32200021101202001221210200022
410221002130210023230322
510133413403144241102
6111225141504410442
74204512050311130
oct451023444135472
980241661853608
1020412311321402
11655a8a3658420
122358061916a22
13b50b46419830
14507d6551b750
15255e874e85a2
hex12909c90bb3a

20412311321402 has 128 divisors (see below), whose sum is σ = 42113663907840. Its totient is φ = 7163933103360.

The previous prime is 20412311321351. The next prime is 20412311321491.

It is a happy number.

20412311321402 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13641224 + ... + 15063452.

It is an arithmetic number, because the mean of its divisors is an integer number (329012999280).

Almost surely, 220412311321402 is an apocalyptic number.

20412311321402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20412311321402 is an abundant number, since it is smaller than the sum of its proper divisors (21701352586438).

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

20412311321402 is a wasteful number, since it uses less digits than its factorization.

20412311321402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422436.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 2041231 and 1321402, that added together give a palindrome (3362633).

The spelling of 20412311321402 in words is "twenty trillion, four hundred twelve billion, three hundred eleven million, three hundred twenty-one thousand, four hundred two".

Divisors: 1 2 7 11 13 14 22 26 67 77 91 107 134 143 154 182 214 286 469 737 749 871 938 1001 1177 1391 1474 1498 1742 2002 2354 2782 5159 6097 7169 8239 9581 9737 10318 12194 14338 15301 16478 19162 19474 30602 50183 67067 78859 93197 100366 107107 134134 157718 186394 214214 552013 652379 1025167 1104026 1304758 1422229 2050334 2844458 7176169 9955603 14352338 15644519 18488977 19911206 31289038 36977954 95289343 109511633 129422839 152178503 190578686 203378747 219023266 258845678 304357006 406757494 667025401 1048182773 1065249521 1238761459 1334050802 1423651229 1673963533 1978320539 2096365546 2130499042 2477522918 2847302458 3347927066 3956641078 7337279411 8671330213 10195959701 11717744731 13626376049 13848243773 14674558822 17342660426 20391919402 21761525929 23435489462 27252752098 27696487546 43523051858 71371717907 95384632343 112155556711 132547476113 142743435814 152330681503 190769264686 224311113422 265094952226 304661363006 785088896977 927832332791 1458022237243 1570177793954 1855664665582 2916044474486 10206155660701 20412311321402