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10132002020 = 2257292495567
BaseRepresentation
bin10010110111110101…
…00001010011100100
3222011010011000212002
421123322201103210
5131222243031040
64353215544432
7506036411330
oct113372412344
928133130762
1010132002020
11432a284098
121b6922b118
13c5615728a
146c18c47c0
153e4784a15
hex25bea14e4

10132002020 has 48 divisors (see below), whose sum is σ = 25155325440. Its totient is φ = 3354040704.

The previous prime is 10132002019. The next prime is 10132002061. The reversal of 10132002020 is 2020023101.

It is a happy number.

10132002020 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 = 10132001992 and 10132002010.

It is an unprimeable number.

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, 1243724 + ... + 1251843.

It is an arithmetic number, because the mean of its divisors is an integer number (524069280).

Almost surely, 210132002020 is an apocalyptic number.

10132002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132002020 is an abundant number, since it is smaller than the sum of its proper divisors (15023323420).

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

10132002020 is a wasteful number, since it uses less digits than its factorization.

10132002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495612 (or 2495610 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10132002020 its reverse (2020023101), we get a palindrome (12152025121).

The spelling of 10132002020 in words is "ten billion, one hundred thirty-two million, two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 4060 2495567 4991134 9982268 12477835 17468969 24955670 34937938 49911340 69875876 72371443 87344845 144742886 174689690 289485772 349379380 361857215 506600101 723714430 1013200202 1447428860 2026400404 2533000505 5066001010 10132002020