Search a number
-
+
21013022221312 = 210112169591153
BaseRepresentation
bin1001100011100011110011…
…01110011010010000000000
32202101211021122111022111211
410301301321232122100000
510223234132142040222
6112405125452015504
74266066164565502
oct461617156322000
982354248438454
1021013022221312
116771633265600
12243456a761594
13b9569a431774
1452906dd75d72
152668e498d277
hex131c79b9a400

21013022221312 has 66 divisors (see below), whose sum is σ = 46171361267654. Its totient is φ = 9551373680640.

The previous prime is 21013022221309. The next prime is 21013022221343. The reversal of 21013022221312 is 21312222031012.

It can be written as a sum of positive squares in only one way, i.e., 20772592828416 + 240429392896 = 4557696^2 + 490336^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 84671673 + ... + 84919480.

Almost surely, 221013022221312 is an apocalyptic number.

21013022221312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21013022221312 is an abundant number, since it is smaller than the sum of its proper divisors (25158339046342).

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

21013022221312 is a wasteful number, since it uses less digits than its factorization.

21013022221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169591195 (or 169591166 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 21013022221312 its reverse (21312222031012), we get a palindrome (42325244252324).

The spelling of 21013022221312 in words is "twenty-one trillion, thirteen billion, twenty-two million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2816 3872 5632 7744 11264 15488 30976 61952 123904 169591153 339182306 678364612 1356729224 1865502683 2713458448 3731005366 5426916896 7462010732 10853833792 14924021464 20520529513 21707667584 29848042928 41041059026 43415335168 59696085856 82082118052 86830670336 119392171712 164164236104 173661340672 238784343424 328328472208 477568686848 656656944416 955137373696 1313313888832 1910274747392 2626627777664 5253255555328 10506511110656 21013022221312