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10131023010 = 2351782324137
BaseRepresentation
bin10010110111101101…
…10010010010100010
3222011001022021220110
421123312302102202
5131222020214020
64353142552150
7506025163143
oct113366622242
928131267813
1010131023010
114329775599
121b68a38656
13c55ba3794
146c170baca
153e463e8e0
hex25bdb24a2

10131023010 has 64 divisors (see below), whose sum is σ = 25777066752. Its totient is φ = 2539493376.

The previous prime is 10131022949. The next prime is 10131023039. The reversal of 10131023010 is 1032013101.

10131023010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 407662 + ... + 431798.

It is an arithmetic number, because the mean of its divisors is an integer number (402766668).

Almost surely, 210131023010 is an apocalyptic number.

10131023010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131023010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12888533376).

10131023010 is an abundant number, since it is smaller than the sum of its proper divisors (15646043742).

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

10131023010 is a wasteful number, since it uses less digits than its factorization.

10131023010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24987.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10131023010 its reverse (1032013101), we get a palindrome (11163036111).

Subtracting from 10131023010 its reverse (1032013101), we obtain a palindrome (9099009909).

The spelling of 10131023010 in words is "ten billion, one hundred thirty-one million, twenty-three thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 823 1646 2469 4115 4938 8230 12345 13991 24137 24690 27982 41973 48274 69955 72411 83946 120685 139910 144822 209865 241370 362055 410329 419730 724110 820658 1230987 2051645 2461974 4103290 6154935 12309870 19864751 39729502 59594253 99323755 119188506 198647510 297971265 337700767 595942530 675401534 1013102301 1688503835 2026204602 3377007670 5065511505 10131023010