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21121200000021 = 3112174772822433
BaseRepresentation
bin1001100110101101010011…
…00111111000110000010101
32202210011111202001212012110
410303112221213320300111
510232022204200000041
6112530540105141233
74306646011541442
oct463265147706025
982704452055173
1021121200000021
1168034a5853900
12245151b18a819
13ba294a25b104
145303b313a9c9
15269626add516
hex1335a99f8c15

21121200000021 has 48 divisors (see below), whose sum is σ = 33472686143232. Its totient is φ = 11791408189440.

The previous prime is 21121200000013. The next prime is 21121200000083. The reversal of 21121200000021 is 12000000212112.

It is not a de Polignac number, because 21121200000021 - 23 = 21121200000013 is a prime.

It is a super-2 number, since 2×211212000000212 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21121199999952 and 21121200000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121200000421) 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 47 ways as a sum of consecutive naturals, for example, 36121180 + ... + 36701253.

It is an arithmetic number, because the mean of its divisors is an integer number (697347627984).

Almost surely, 221121200000021 is an apocalyptic number.

It is an amenable number.

21121200000021 is a deficient number, since it is larger than the sum of its proper divisors (12351486143211).

21121200000021 is a wasteful number, since it uses less digits than its factorization.

21121200000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72822522 (or 72822511 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21121200000021 its reverse (12000000212112), we get a palindrome (33121200212133).

It can be divided in two parts, 2112 and 1200000021, that multiplied together give a palindrome (2534400044352).

The spelling of 21121200000021 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred million, twenty-one", and thus it is an aban number.

Divisors: 1 3 11 17 33 47 51 121 141 187 363 517 561 799 1551 2057 2397 5687 6171 8789 17061 26367 96679 290037 72822433 218467299 801046763 1237981361 2403140289 3422654351 3713944083 8811514393 10267963053 13617794971 26434543179 37649197861 40853384913 58185123967 112947593583 149795744681 174555371901 414141176471 449387234043 640036363637 1242423529413 1920109090911 7040400000007 21121200000021