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21221032120431 = 3111326756792509
BaseRepresentation
bin1001101001100111010000…
…00101001101000001101111
32210010201012012211000221120
410310303220011031001233
510240141133210323211
6113044450234032023
74320111646552203
oct464635005150157
983121165730846
1021221032120431
116841875445540
122468940878613
13bac19a04b700
14535163b7ab03
1526c01b215d06
hex134ce814d06f

21221032120431 has 48 divisors (see below), whose sum is σ = 33922847733120. Its totient is φ = 11694713247360.

The previous prime is 21221032120403. The next prime is 21221032120447. The reversal of 21221032120431 is 13402123012212.

It is not a de Polignac number, because 21221032120431 - 27 = 21221032120303 is a prime.

It is a super-2 number, since 2×212210321204312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221032120481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28022596 + ... + 28769913.

It is an arithmetic number, because the mean of its divisors is an integer number (706725994440).

Almost surely, 221221032120431 is an apocalyptic number.

21221032120431 is a deficient number, since it is larger than the sum of its proper divisors (12701815612689).

21221032120431 is a wasteful number, since it uses less digits than its factorization.

21221032120431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56792616 (or 56792603 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 21221032120431 its reverse (13402123012212), we get a palindrome (34623155132643).

The spelling of 21221032120431 in words is "twenty-one trillion, two hundred twenty-one billion, thirty-two million, one hundred twenty thousand, four hundred thirty-one".

Divisors: 1 3 11 13 33 39 67 143 169 201 429 507 737 871 1859 2211 2613 5577 9581 11323 28743 33969 124553 373659 56792509 170377527 624717599 738302617 1874152797 2214907851 3805098103 8121328787 9597934021 11415294309 24363986361 28793802063 41856079133 49466275339 105577274231 125568237399 148398826017 316731822693 544129028729 643061579407 1632387086187 1929184738221 7073677373477 21221032120431