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20821120434 = 2322814116473
BaseRepresentation
bin10011011001000010…
…010001010110110010
31222202001121111201200
4103121002101112302
5320120201323214
613322020512030
71334652414012
oct233102212662
958661544650
1020821120434
118914a85a54
124050b4b616
131c6a843c0a
14101738bc42
1581cdb5d09
hex4d90915b2

20821120434 has 24 divisors (see below), whose sum is σ = 45272981052. Its totient is φ = 6915672960.

The previous prime is 20821120433. The next prime is 20821120451. The reversal of 20821120434 is 43402112802.

20821120434 is a `hidden beast` number, since 208 + 2 + 1 + 1 + 20 + 434 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17057666025 + 3763454409 = 130605^2 + 61347^2 .

It is a super-2 number, since 2×208211204342 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20821120398 and 20821120407.

It is not an unprimeable number, because it can be changed into a prime (20821120433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2053179 + ... + 2063294.

Almost surely, 220821120434 is an apocalyptic number.

20821120434 is an abundant number, since it is smaller than the sum of its proper divisors (24451860618).

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

20821120434 is a wasteful number, since it uses less digits than its factorization.

20821120434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116762 (or 4116759 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 20821120434 in words is "twenty billion, eight hundred twenty-one million, one hundred twenty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 281 562 843 1686 2529 5058 4116473 8232946 12349419 24698838 37048257 74096514 1156728913 2313457826 3470186739 6940373478 10410560217 20821120434