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21344331426300 = 22325223715923807
BaseRepresentation
bin1001101101001100111010…
…10010101110100111111100
32210120111110011012202020200
410312212131102232213330
510244201142321120200
6113221241150043500
74332035300426151
oct466463522564774
983514404182220
1021344331426300
11688a09770aa23
1224888114a9590
13bba9b993416c
1453b0dd35c228
15270335b83800
hex13699d4ae9fc

21344331426300 has 54 divisors (see below), whose sum is σ = 66902621062368. Its totient is φ = 5691821713440.

The previous prime is 21344331426283. The next prime is 21344331426307. The reversal of 21344331426300 is 362413344312.

It is a happy number.

21344331426300 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 4 + 3 + 3 + 14 + 2 + 630 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21344331426307) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11857961004 + ... + 11857962803.

Almost surely, 221344331426300 is an apocalyptic number.

21344331426300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21344331426300 is an abundant number, since it is smaller than the sum of its proper divisors (45558289636068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21344331426300 is a wasteful number, since it uses less digits than its factorization.

21344331426300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23715923827 (or 23715923817 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 21344331426300 in words is "twenty-one trillion, three hundred forty-four billion, three hundred thirty-one million, four hundred twenty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 23715923807 47431847614 71147771421 94863695228 118579619035 142295542842 213443314263 237159238070 284591085684 355738857105 426886628526 474318476140 592898095175 711477714210 853773257052 1067216571315 1185796190350 1422955428420 1778694285525 2134433142630 2371592380700 3557388571050 4268866285260 5336082856575 7114777142100 10672165713150 21344331426300