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10031020 = 22517163181
BaseRepresentation
bin100110010000…
…111110101100
3200212121222021
4212100332230
510031443040
6554555524
7151155646
oct46207654
920777867
1010031020
1157314aa
123438ba4
132102a1c
141491896
15d3224a
hex990fac

10031020 has 48 divisors (see below), whose sum is σ = 22565088. Its totient is φ = 3732480.

The previous prime is 10030991. The next prime is 10031027. The reversal of 10031020 is 2013001.

10031020 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 = 10030994 and 10031012.

It is not an unprimeable number, because it can be changed into a prime (10031027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55330 + ... + 55510.

It is an arithmetic number, because the mean of its divisors is an integer number (470106).

Almost surely, 210031020 is an apocalyptic number.

10031020 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 10031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11282544).

10031020 is an abundant number, since it is smaller than the sum of its proper divisors (12534068).

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

10031020 is a wasteful number, since it uses less digits than its factorization.

10031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 10031020 is about 3167.1785551181. The cubic root of 10031020 is about 215.6660076036. Note that the first 3 decimals are identical.

Adding to 10031020 its reverse (2013001), we get a palindrome (12044021).

The spelling of 10031020 in words is "ten million, thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 163 170 181 326 340 362 652 724 815 905 1630 1810 2771 3077 3260 3620 5542 6154 11084 12308 13855 15385 27710 29503 30770 55420 59006 61540 118012 147515 295030 501551 590060 1003102 2006204 2507755 5015510 10031020