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1020295431 = 32241470399
BaseRepresentation
bin111100110100000…
…111100100000111
32122002212101012200
4330310013210013
54042143423211
6245124245543
734166240151
oct7464074407
92562771180
101020295431
11483a26071
122458408b3
131334c4c0c
1499711ad1
155e88eb56
hex3cd07907

1020295431 has 12 divisors (see below), whose sum is σ = 1479878400. Its totient is φ = 677373120.

The previous prime is 1020295427. The next prime is 1020295439. The reversal of 1020295431 is 1345920201.

1020295431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1020295431 - 22 = 1020295427 is a prime.

It is a super-2 number, since 2×10202954312 = 2082005533038951522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020295395 and 1020295404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020295439) 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, 233031 + ... + 237368.

It is an arithmetic number, because the mean of its divisors is an integer number (123323200).

Almost surely, 21020295431 is an apocalyptic number.

1020295431 is a deficient number, since it is larger than the sum of its proper divisors (459582969).

1020295431 is a wasteful number, since it uses less digits than its factorization.

1020295431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470646 (or 470643 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1020295431 is about 31942.0636621994. The cubic root of 1020295431 is about 1006.7198856538.

The spelling of 1020295431 in words is "one billion, twenty million, two hundred ninety-five thousand, four hundred thirty-one".

Divisors: 1 3 9 241 723 2169 470399 1411197 4233591 113366159 340098477 1020295431