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10131000240 = 243542212501
BaseRepresentation
bin10010110111101101…
…01100101110110000
3222011001021010200010
421123312230232300
5131222014001430
64353142254520
7506025036564
oct113366545660
928131233603
1010131000240
11432975a479
121b68a27440
13c55b962ca
146c17036a4
153e4637cb0
hex25bdacbb0

10131000240 has 40 divisors (see below), whose sum is σ = 31406101488. Its totient is φ = 2701600000.

The previous prime is 10131000227. The next prime is 10131000283. The reversal of 10131000240 is 4200013101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21106011 + ... + 21106490.

Almost surely, 210131000240 is an apocalyptic number.

10131000240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131000240 is an abundant number, since it is smaller than the sum of its proper divisors (21275101248).

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

10131000240 is a wasteful number, since it uses less digits than its factorization.

10131000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42212517 (or 42212511 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10131000240 its reverse (4200013101), we get a palindrome (14331013341).

The spelling of 10131000240 in words is "ten billion, one hundred thirty-one million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 42212501 84425002 126637503 168850004 211062505 253275006 337700008 422125010 506550012 633187515 675400016 844250020 1013100024 1266375030 1688500040 2026200048 2532750060 3377000080 5065500120 10131000240