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21412120431 = 3137113159029
BaseRepresentation
bin10011111100010000…
…110000011101101111
32001021020200102022110
4103330100300131233
5322323000323211
613500412015103
71355420010042
oct237420603557
961236612273
1021412120431
119098646aa9
124196a61493
13203310b160
141071a70c59
15854c06ea6
hex4fc43076f

21412120431 has 32 divisors (see below), whose sum is σ = 31417182720. Its totient is φ = 12891715200.

The previous prime is 21412120417. The next prime is 21412120451. The reversal of 21412120431 is 13402121412.

It is not a de Polignac number, because 21412120431 - 223 = 21403731823 is a prime.

It is a super-2 number, since 2×214121204312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21412120398 and 21412120407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21412120451) 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 31 ways as a sum of consecutive naturals, for example, 333225 + ... + 392253.

It is an arithmetic number, because the mean of its divisors is an integer number (981786960).

Almost surely, 221412120431 is an apocalyptic number.

21412120431 is a deficient number, since it is larger than the sum of its proper divisors (10005062289).

21412120431 is a wasteful number, since it uses less digits than its factorization.

21412120431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59247.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 21412120431 its reverse (13402121412), we get a palindrome (34814241843).

The spelling of 21412120431 in words is "twenty-one billion, four hundred twelve million, one hundred twenty thousand, four hundred thirty-one".

Divisors: 1 3 13 39 71 131 213 393 923 1703 2769 5109 9301 27903 59029 120913 177087 362739 767377 2302131 4191059 7732799 12573177 23198397 54483767 100526387 163451301 301579161 549028729 1647086187 7137373477 21412120431