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21131022133 = 139732175209
BaseRepresentation
bin10011101011100000…
…011100111100110101
32000112122202010221101
4103223200130330311
5321234020202013
613412451050101
71345434503344
oct235340347465
960478663841
1021131022133
118a63a02761
1241188a0931
131cb9aca8c0
1410465bbb5b
1583a1cd8dd
hex4eb81cf35

21131022133 has 16 divisors (see below), whose sum is σ = 23002650160. Its totient is φ = 19294765056.

The previous prime is 21131022119. The next prime is 21131022149. The reversal of 21131022133 is 33122013112.

It can be written as a sum of positive squares in 8 ways, for example, as 2295655569 + 18835366564 = 47913^2 + 137242^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21131022133 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21131022133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21131022193) 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 15 ways as a sum of consecutive naturals, for example, 4054033 + ... + 4059241.

It is an arithmetic number, because the mean of its divisors is an integer number (1437665635).

Almost surely, 221131022133 is an apocalyptic number.

It is an amenable number.

21131022133 is a deficient number, since it is larger than the sum of its proper divisors (1871628027).

21131022133 is a wasteful number, since it uses less digits than its factorization.

21131022133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8536.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 21131022133 its reverse (33122013112), we get a palindrome (54253035245).

The spelling of 21131022133 in words is "twenty-one billion, one hundred thirty-one million, twenty-two thousand, one hundred thirty-three".

Divisors: 1 13 97 1261 3217 5209 41821 67717 312049 505273 4056637 6568549 16757353 217845589 1625463241 21131022133