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21126342132 = 2233727944897
BaseRepresentation
bin10011101011001110…
…100110010111110100
32000112022221101012000
4103223032212113310
5321231320422012
613412202455300
71345346642130
oct235316462764
960468841160
1021126342132
118a612a6595
124117204530
131cb8b4c67c
141045b203c0
15839aa6ddc
hex4eb3a65f4

21126342132 has 48 divisors (see below), whose sum is σ = 62596571520. Its totient is φ = 6036097536.

The previous prime is 21126342073. The next prime is 21126342197. The reversal of 21126342132 is 23124362112.

21126342132 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 634 + 21 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21126342096 and 21126342105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13971693 + ... + 13973204.

It is an arithmetic number, because the mean of its divisors is an integer number (1304095240).

Almost surely, 221126342132 is an apocalyptic number.

It is an amenable number.

21126342132 is an abundant number, since it is smaller than the sum of its proper divisors (41470229388).

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

21126342132 is a wasteful number, since it uses less digits than its factorization.

21126342132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27944917 (or 27944909 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The spelling of 21126342132 in words is "twenty-one billion, one hundred twenty-six million, three hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 27944897 55889794 83834691 111779588 167669382 195614279 251504073 335338764 391228558 503008146 586842837 754512219 782457116 1006016292 1173685674 1509024438 1760528511 2347371348 3018048876 3521057022 5281585533 7042114044 10563171066 21126342132