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10323132020 = 2251723475147
BaseRepresentation
bin10011001110100111…
…00111111001110100
3222122102210102220222
421213103213321310
5132120210211040
64424204313512
7513550113545
oct114723477164
928572712828
1010323132020
114418158973
122001242898
13c86927156
146dd0384cc
1540643abb5
hex2674e7e74

10323132020 has 72 divisors (see below), whose sum is σ = 23099652576. Its totient is φ = 3874402816.

The previous prime is 10323132013. The next prime is 10323132023. The reversal of 10323132020 is 2023132301.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 10323132020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10323132023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2003087 + ... + 2008233.

It is an arithmetic number, because the mean of its divisors is an integer number (320828508).

Almost surely, 210323132020 is an apocalyptic number.

10323132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10323132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11549826288).

10323132020 is an abundant number, since it is smaller than the sum of its proper divisors (12776520556).

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

10323132020 is a wasteful number, since it uses less digits than its factorization.

10323132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5537 (or 5518 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10323132020 its reverse (2023132301), we get a palindrome (12346264321).

The spelling of 10323132020 in words is "ten billion, three hundred twenty-three million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 347 578 694 1156 1388 1445 1735 2890 3470 5147 5780 5899 6940 10294 11798 20588 23596 25735 29495 51470 58990 87499 100283 102940 117980 174998 200566 349996 401132 437495 501415 874990 1002830 1487483 1749980 1786009 2005660 2974966 3572018 5949932 7144036 7437415 8930045 14874830 17860090 29749660 30362153 35720180 60724306 121448612 151810765 303621530 516156601 607243060 1032313202 2064626404 2580783005 5161566010 10323132020