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213423433128 = 23329733304553
BaseRepresentation
bin1100011011000100000…
…1110010010110101000
3202101212211211202000100
43012301001302112220
511444042344330003
6242013444505400
721263555151363
oct3066101622650
9671784752010
10213423433128
118256aa67194
12354430ab260
1317183348409
14a488b910da
155841b67ba3
hex31b10725a8

213423433128 has 48 divisors (see below), whose sum is σ = 578083084020. Its totient is φ = 71133601536.

The previous prime is 213423433103. The next prime is 213423433159. The reversal of 213423433128 is 821334324312.

213423433128 is a `hidden beast` number, since 213 + 4 + 2 + 3 + 433 + 1 + 2 + 8 = 666.

213423433128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 209509429284 + 3914003844 = 457722^2 + 62562^2 .

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

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 = 213423433092 and 213423433101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 548500 + ... + 853052.

Almost surely, 2213423433128 is an apocalyptic number.

It is an amenable number.

213423433128 is an abundant number, since it is smaller than the sum of its proper divisors (364659650892).

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

213423433128 is a wasteful number, since it uses less digits than its factorization.

213423433128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314298 (or 314291 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 213423433128 in words is "two hundred thirteen billion, four hundred twenty-three million, four hundred thirty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 9733 19466 29199 38932 58398 77864 87597 116796 175194 233592 304553 350388 609106 700776 913659 1218212 1827318 2436424 2740977 3654636 5481954 7309272 10963908 21927816 2964214349 5928428698 8892643047 11856857396 17785286094 23713714792 26677929141 35570572188 53355858282 71141144376 106711716564 213423433128