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21122014340 = 2257150871531
BaseRepresentation
bin10011101010111110…
…000101110010000100
32000112000210111120102
4103222332011302010
5321224213424330
613411530023232
71345265105510
oct235276056204
960460714512
1021122014340
118a5990aaa9
124115877b18
131cb7c9584b
141045315140
158394ee945
hex4eaf85c84

21122014340 has 24 divisors (see below), whose sum is σ = 50692834752. Its totient is φ = 7241833440.

The previous prime is 21122014313. The next prime is 21122014343. The reversal of 21122014340 is 4341022112.

It is a super-2 number, since 2×211220143402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (21122014343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75435626 + ... + 75435905.

It is an arithmetic number, because the mean of its divisors is an integer number (2112201448).

Almost surely, 221122014340 is an apocalyptic number.

21122014340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122014340 is an abundant number, since it is smaller than the sum of its proper divisors (29570820412).

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

21122014340 is a wasteful number, since it uses less digits than its factorization.

21122014340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150871547 (or 150871545 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 21122014340 its reverse (4341022112), we get a palindrome (25463036452).

The spelling of 21122014340 in words is "twenty-one billion, one hundred twenty-two million, fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 150871531 301743062 603486124 754357655 1056100717 1508715310 2112201434 3017430620 4224402868 5280503585 10561007170 21122014340