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21222320031 = 341129821329
BaseRepresentation
bin10011110000111100…
…101110011110011111
32000210000112120010000
4103300330232132133
5321430403220111
613425511545343
71350623513103
oct236074563637
960700476100
1021222320031
1190004a0170
12414338b253
1320029b5523
141054785903
15843214c56
hex4f0f2e79f

21222320031 has 40 divisors (see below), whose sum is σ = 35777134800. Its totient is φ = 12418479360.

The previous prime is 21222320023. The next prime is 21222320059. The reversal of 21222320031 is 13002322212.

21222320031 is a `hidden beast` number, since 212 + 223 + 200 + 31 = 666.

It is not a de Polignac number, because 21222320031 - 23 = 21222320023 is a prime.

It is a super-2 number, since 2×212223200312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21222319986 and 21222320013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222320071) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 384826 + ... + 436503.

It is an arithmetic number, because the mean of its divisors is an integer number (894428370).

Almost surely, 221222320031 is an apocalyptic number.

21222320031 is a deficient number, since it is larger than the sum of its proper divisors (14554814769).

21222320031 is a wasteful number, since it uses less digits than its factorization.

21222320031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821381 (or 821372 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21222320031 its reverse (13002322212), we get a palindrome (34224642243).

The spelling of 21222320031 in words is "twenty-one billion, two hundred twenty-two million, three hundred twenty thousand, thirty-one".

Divisors: 1 3 9 11 27 29 33 81 87 99 261 297 319 783 891 957 2349 2871 8613 25839 821329 2463987 7391961 9034619 22175883 23818541 27103857 66527649 71455623 81311571 214366869 243934713 262003951 643100607 731804139 786011853 1929301821 2358035559 7074106677 21222320031