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21207990141 = 32133137612
BaseRepresentation
bin10011110000000110…
…000011111101111101
32000202000120112012100
4103300012003331331
5321413221141031
613424240455313
71350360641022
oct236006037575
960660515170
1021207990141
118aa33a2988
12413a61a539
131ccca38bc0
1410528d5549
15841d33de6
hex4f0183f7d

21207990141 has 36 divisors (see below), whose sum is σ = 33139153684. Its totient is φ = 12992279040.

The previous prime is 21207990131. The next prime is 21207990143. The reversal of 21207990141 is 14109970212.

It can be written as a sum of positive squares in 6 ways, for example, as 19489556025 + 1718434116 = 139605^2 + 41454^2 .

It is not a de Polignac number, because 21207990141 - 211 = 21207988093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21207990096 and 21207990105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21207990143) 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 35 ways as a sum of consecutive naturals, for example, 27868201 + ... + 27868961.

Almost surely, 221207990141 is an apocalyptic number.

It is an amenable number.

21207990141 is a deficient number, since it is larger than the sum of its proper divisors (11931163543).

21207990141 is an equidigital number, since it uses as much as digits as its factorization.

21207990141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 21207990141 in words is "twenty-one billion, two hundred seven million, nine hundred ninety thousand, one hundred forty-one".

Divisors: 1 3 9 13 39 117 313 761 939 2283 2817 4069 6849 9893 12207 29679 36621 89037 238193 579121 714579 1737363 2143737 3096509 5212089 7528573 9289527 22585719 27868581 67757157 181264873 543794619 1631383857 2356443349 7069330047 21207990141