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10111331130 = 2356721112383
BaseRepresentation
bin10010110101010111…
…01010101100111010
3222002200020211201120
421122223222230322
5131202000044010
64351200530110
7505365616335
oct113253525472
928080224646
1010111331130
11431964580a
121b62320936
13c51a9a694
146bcc6361c
153e2a4ee70
hex25aaeab3a

10111331130 has 64 divisors (see below), whose sum is σ = 24651399168. Its totient is φ = 2653738560.

The previous prime is 10111331123. The next prime is 10111331159. The reversal of 10111331130 is 3113311101.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 4241919 + ... + 4244301.

It is an arithmetic number, because the mean of its divisors is an integer number (385178112).

Almost surely, 210111331130 is an apocalyptic number.

10111331130 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 10111331130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12325699584).

10111331130 is an abundant number, since it is smaller than the sum of its proper divisors (14540068038).

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

10111331130 is a wasteful number, since it uses less digits than its factorization.

10111331130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4571.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 10111331130 its reverse (3113311101), we get a palindrome (13224642231).

The spelling of 10111331130 in words is "ten billion, one hundred eleven million, three hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 335 402 670 1005 2010 2111 2383 4222 4766 6333 7149 10555 11915 12666 14298 21110 23830 31665 35745 63330 71490 141437 159661 282874 319322 424311 478983 707185 798305 848622 957966 1414370 1596610 2121555 2394915 4243110 4789830 5030513 10061026 15091539 25152565 30183078 50305130 75457695 150915390 337044371 674088742 1011133113 1685221855 2022266226 3370443710 5055665565 10111331130