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21110034420 = 22325117277969
BaseRepresentation
bin10011101010010000…
…011000111111110100
32000111012020212012200
4103222100120333310
5321213132100140
613410421144500
71345061221566
oct235220307764
960435225180
1021110034420
118a53078342
12411185b130
131cb565ca37
1410438b7336
15838435030
hex4ea418ff4

21110034420 has 36 divisors (see below), whose sum is σ = 64033771620. Its totient is φ = 5629342464.

The previous prime is 21110034377. The next prime is 21110034457. The reversal of 21110034420 is 2443001112.

21110034420 is a `hidden beast` number, since 211 + 1 + 0 + 0 + 34 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16391168784 + 4718865636 = 128028^2 + 68694^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21110034393 and 21110034402.

It is a congruent number.

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, 58638805 + ... + 58639164.

Almost surely, 221110034420 is an apocalyptic number.

21110034420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21110034420 is an abundant number, since it is smaller than the sum of its proper divisors (42923737200).

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

21110034420 is a wasteful number, since it uses less digits than its factorization.

21110034420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117277984 (or 117277979 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21110034420 its reverse (2443001112), we get a palindrome (23553035532).

The spelling of 21110034420 in words is "twenty-one billion, one hundred ten million, thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 117277969 234555938 351833907 469111876 586389845 703667814 1055501721 1172779690 1407335628 1759169535 2111003442 2345559380 3518339070 4222006884 5277508605 7036678140 10555017210 21110034420