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10320132020 = 2251183565177
BaseRepresentation
bin10011001110010000…
…01011011110110100
3222122020011000200212
421213020023132310
5132113423211040
64424020124552
7513512450312
oct114710133664
928566130625
1010320132020
114416499a30
122000236758
13c861167c3
146dc8970b2
15406046d65
hex26720b7b4

10320132020 has 48 divisors (see below), whose sum is σ = 23927375808. Its totient is φ = 3707554560.

The previous prime is 10320132001. The next prime is 10320132023. The reversal of 10320132020 is 2023102301.

It is a happy number.

10320132020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10320131986 and 10320132004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10320132023) 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 15 ways as a sum of consecutive naturals, for example, 264329 + ... + 300848.

It is an arithmetic number, because the mean of its divisors is an integer number (498486996).

Almost surely, 210320132020 is an apocalyptic number.

10320132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10320132020 is an abundant number, since it is smaller than the sum of its proper divisors (13607243788).

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

10320132020 is a wasteful number, since it uses less digits than its factorization.

10320132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565280 (or 565278 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10320132020 its reverse (2023102301), we get a palindrome (12343234321).

The spelling of 10320132020 in words is "ten billion, three hundred twenty million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 332 415 830 913 1660 1826 3652 4565 9130 18260 565177 1130354 2260708 2825885 5651770 6216947 11303540 12433894 24867788 31084735 46909691 62169470 93819382 124338940 187638764 234548455 469096910 516006601 938193820 1032013202 2064026404 2580033005 5160066010 10320132020