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21121412004231 = 37115310117081017
BaseRepresentation
bin1001100110101101101100…
…10000100111100110000111
32202210012001111222210022020
410303112312100213212013
510232023122433113411
6112531013121134223
74306654164543510
oct463266620474607
982705044883266
1021121412004231
1168035a44957a0
12245157a18a373
13ba29821592a6
145303d3365a07
1526963a519606
hex1335b6427987

21121412004231 has 64 divisors (see below), whose sum is σ = 36127582903296. Its totient is φ = 10658553984000.

The previous prime is 21121412004221. The next prime is 21121412004283. The reversal of 21121412004231 is 13240021412112.

It is not a de Polignac number, because 21121412004231 - 26 = 21121412004167 is a prime.

It is a super-2 number, since 2×211214120042312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121412004221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7303966 + ... + 9777051.

It is an arithmetic number, because the mean of its divisors is an integer number (564493482864).

Almost surely, 221121412004231 is an apocalyptic number.

21121412004231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21121412004231 is a deficient number, since it is larger than the sum of its proper divisors (15006170899065).

21121412004231 is a wasteful number, since it uses less digits than its factorization.

21121412004231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17081192.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 21121412004231 its reverse (13240021412112), we get a palindrome (34361433416343).

The spelling of 21121412004231 in words is "twenty-one trillion, one hundred twenty-one billion, four hundred twelve million, four thousand, two hundred thirty-one".

Divisors: 1 3 7 11 21 33 53 77 101 159 231 303 371 583 707 1111 1113 1749 2121 3333 4081 5353 7777 12243 16059 23331 37471 58883 112413 176649 412181 1236543 17081017 51243051 119567119 187891187 358701357 563673561 905293901 1315238309 1725182717 2715881703 3945714927 5175548151 6337057307 9958232911 12076279019 18977009887 19011171921 29874698733 36228837057 56931029661 69707630377 91434684001 132839069209 209122891131 274304052003 398517207627 640042788007 1005781524011 1920128364021 3017344572033 7040470668077 21121412004231