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10111130010 = 2325722915541
BaseRepresentation
bin10010110101010101…
…11001100110011010
3222002122212121211200
421122222321212122
5131201422130020
64351152335030
7505364121102
oct113252714632
928078777750
1010111130010
1143195186a3
121b62244476
13c51a29c87
146bcc10202
153e2a10590
hex25aab999a

10111130010 has 48 divisors (see below), whose sum is σ = 26294266440. Its totient is φ = 2695754880.

The previous prime is 10111129999. The next prime is 10111130011. The reversal of 10111130010 is 1003111101.

It can be written as a sum of positive squares in 4 ways, for example, as 10080360801 + 30769209 = 100401^2 + 5547^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10111129974 and 10111130001.

It is not an unprimeable number, because it can be changed into a prime (10111130011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642840 + ... + 658380.

Almost surely, 210111130010 is an apocalyptic number.

10111130010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10111130010 is an abundant number, since it is smaller than the sum of its proper divisors (16183136430).

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

10111130010 is a wasteful number, since it uses less digits than its factorization.

10111130010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22783 (or 22780 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 10111130010 its reverse (1003111101), we get a palindrome (11114241111).

It can be divided in two parts, 101111300 and 10, that added together give a triangular number (101111310 = T14220).

The spelling of 10111130010 in words is "ten billion, one hundred eleven million, one hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 7229 14458 15541 21687 31082 36145 43374 46623 65061 72290 77705 93246 108435 130122 139869 155410 216870 233115 279738 325305 466230 650610 699345 1398690 112345889 224691778 337037667 561729445 674075334 1011113001 1123458890 1685188335 2022226002 3370376670 5055565005 10111130010