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10130140240 = 2451123500501
BaseRepresentation
bin10010110111100110…
…11010110001010000
3222010222122102222021
421123303122301100
5131221303441430
64353112021224
7506014525363
oct113363326120
928128572867
1010130140240
114329222330
121b68691814
13c55954a2c
146c155c0da
153e451807a
hex25bcdac50

10130140240 has 80 divisors (see below), whose sum is σ = 26810891136. Its totient is φ = 3523520000.

The previous prime is 10130140211. The next prime is 10130140247. The reversal of 10130140240 is 4204103101.

10130140240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130140247) by changing a digit.

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, 230011 + ... + 270490.

Almost surely, 210130140240 is an apocalyptic number.

10130140240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10130140240 is an abundant number, since it is smaller than the sum of its proper divisors (16680750896).

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

10130140240 is a wasteful number, since it uses less digits than its factorization.

10130140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500548 (or 500542 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10130140240 its reverse (4204103101), we get a palindrome (14334243341).

The spelling of 10130140240 in words is "ten billion, one hundred thirty million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 368 440 460 506 880 920 1012 1265 1840 2024 2530 4048 5060 10120 20240 500501 1001002 2002004 2502505 4004008 5005010 5505511 8008016 10010020 11011022 11511523 20020040 22022044 23023046 27527555 40040080 44044088 46046092 55055110 57557615 88088176 92092184 110110220 115115230 126626753 184184368 220220440 230230460 253253506 440440880 460460920 506507012 633133765 920921840 1013014024 1266267530 2026028048 2532535060 5065070120 10130140240