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1022313132 = 223243660409
BaseRepresentation
bin111100111011110…
…100001010101100
32122020122212222100
4330323310022230
54043203010012
6245235415100
734222342521
oct7473641254
92566585870
101022313132
11485083a95
12246454490
13133a50419
1499ab9148
155eb3c8dc
hex3cef42ac

1022313132 has 36 divisors (see below), whose sum is σ = 2644281640. Its totient is φ = 332845632.

The previous prime is 1022313109. The next prime is 1022313137. The reversal of 1022313132 is 2313132201.

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 not an unprimeable number, because it can be changed into a prime (1022313137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 328657 + ... + 331752.

Almost surely, 21022313132 is an apocalyptic number.

1022313132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022313132 is an abundant number, since it is smaller than the sum of its proper divisors (1621968508).

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

1022313132 is a wasteful number, since it uses less digits than its factorization.

1022313132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660462 (or 660457 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1022313132 is about 31973.6318237388. The cubic root of 1022313132 is about 1007.3830668412.

Adding to 1022313132 its reverse (2313132201), we get a palindrome (3335445333).

The spelling of 1022313132 in words is "one billion, twenty-two million, three hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 660409 1320818 1981227 2641636 3962454 5943681 7924908 11887362 23774724 28397587 56795174 85192761 113590348 170385522 255578283 340771044 511156566 1022313132