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21223121140 = 2251381627389
BaseRepresentation
bin10011110000111111…
…110010000011110100
32000210002001021000201
4103300333302003310
5321431104334030
613425541050244
71350633360514
oct236077620364
960702037021
1021223121140
119000998041
1241436b6984
132002c06060
141054913844
158433222ca
hex4f0ff20f4

21223121140 has 24 divisors (see below), whose sum is σ = 47996905320. Its totient is φ = 7836229248.

The previous prime is 21223121119. The next prime is 21223121149. The reversal of 21223121140 is 4112132212.

It can be written as a sum of positive squares in 4 ways, for example, as 1039804516 + 20183316624 = 32246^2 + 142068^2 .

It is a super-2 number, since 2×212231211402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21223121149) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 40813435 + ... + 40813954.

It is an arithmetic number, because the mean of its divisors is an integer number (1999871055).

Almost surely, 221223121140 is an apocalyptic number.

21223121140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21223121140 is an abundant number, since it is smaller than the sum of its proper divisors (26773784180).

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

21223121140 is a wasteful number, since it uses less digits than its factorization.

21223121140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81627411 (or 81627409 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 21223121140 its reverse (4112132212), we get a palindrome (25335253352).

The spelling of 21223121140 in words is "twenty-one billion, two hundred twenty-three million, one hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 81627389 163254778 326509556 408136945 816273890 1061156057 1632547780 2122312114 4244624228 5305780285 10611560570 21223121140