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21131122232 = 231119101125131
BaseRepresentation
bin10011101011100000…
…110101011000111000
32000112122221020020202
4103223200311120320
5321234031402412
613412453141332
71345435401233
oct235340653070
960478836222
1021131122232
118a63a70990
12411892a848
131cb9b3432c
14104660641a
1583a1ed3c2
hex4eb835638

21131122232 has 64 divisors (see below), whose sum is σ = 45948470400. Its totient is φ = 9009360000.

The previous prime is 21131122231. The next prime is 21131122253. The reversal of 21131122232 is 23222113112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21131122231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106307 + ... + 231437.

It is an arithmetic number, because the mean of its divisors is an integer number (717944850).

Almost surely, 221131122232 is an apocalyptic number.

21131122232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21131122232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22974235200).

21131122232 is an abundant number, since it is smaller than the sum of its proper divisors (24817348168).

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

21131122232 is a wasteful number, since it uses less digits than its factorization.

21131122232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125268 (or 125264 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

Adding to 21131122232 its reverse (23222113112), we get a palindrome (44353235344).

The spelling of 21131122232 in words is "twenty-one billion, one hundred thirty-one million, one hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 101 152 202 209 404 418 808 836 1111 1672 1919 2222 3838 4444 7676 8888 15352 21109 42218 84436 125131 168872 250262 500524 1001048 1376441 2377489 2752882 4754978 5505764 9509956 11011528 12638231 19019912 25276462 26152379 50552924 52304758 101105848 104609516 139020541 209219032 240126389 278041082 480252778 556082164 960505556 1112164328 1921011112 2641390279 5282780558 10565561116 21131122232