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21312433413 = 3229269401757
BaseRepresentation
bin10011110110010100…
…011110110100000101
32001000022002210102200
4103312110132310011
5322121440332123
613442451225113
71353066460245
oct236624366405
961008083380
1021312433413
119047349737
1241695a8199
132018576c5b
141062721b25
1584b0b5143
hex4f651ed05

21312433413 has 48 divisors (see below), whose sum is σ = 32086594800. Its totient is φ = 13615257600.

The previous prime is 21312433403. The next prime is 21312433423. The reversal of 21312433413 is 31433421312.

It is a happy number.

21312433413 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 243 + 3 + 413 = 666.

It is an interprime number because it is at equal distance from previous prime (21312433403) and next prime (21312433423).

It can be written as a sum of positive squares in 8 ways, for example, as 484748289 + 20827685124 = 22017^2 + 144318^2 .

It is not a de Polignac number, because 21312433413 - 214 = 21312417029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21312433403) 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, 28153431 + ... + 28154187.

It is an arithmetic number, because the mean of its divisors is an integer number (668470725).

Almost surely, 221312433413 is an apocalyptic number.

It is an amenable number.

21312433413 is a deficient number, since it is larger than the sum of its proper divisors (10774161387).

21312433413 is a wasteful number, since it uses less digits than its factorization.

21312433413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1459 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 21312433413 its reverse (31433421312), we get a palindrome (52745854725).

The spelling of 21312433413 in words is "twenty-one billion, three hundred twelve million, four hundred thirty-three thousand, four hundred thirteen".

Divisors: 1 3 9 29 87 261 269 401 757 807 1203 2271 2421 3609 6813 7801 11629 21953 23403 34887 65859 70209 104661 107869 197577 203633 303557 323607 610899 910671 970821 1832697 2732013 3128201 5905357 8803153 9384603 17716071 26409459 28153809 53148213 79228377 81656833 244970499 734911497 2368048157 7104144471 21312433413