Search a number
-
+
111131476900 = 225217193440603
BaseRepresentation
bin110011101111111110…
…0111100001110100100
3101121211221110221212221
41213133330330032210
53310044124230100
6123015245122124
711012640652633
oct1473774741644
9347757427787
10111131476900
1143148904494
1219655859344
13a630a4bb72
14554359751a
152d565ea01a
hex19dff3c3a4

111131476900 has 72 divisors (see below), whose sum is σ = 268779984480. Its totient is φ = 39635735040.

The previous prime is 111131476871. The next prime is 111131476903. The reversal of 111131476900 is 9674131111.

It is a super-2 number, since 2×1111314769002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (111131476903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1688002 + ... + 1752601.

It is an arithmetic number, because the mean of its divisors is an integer number (3733055340).

Almost surely, 2111131476900 is an apocalyptic number.

111131476900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111131476900 is an abundant number, since it is smaller than the sum of its proper divisors (157648507580).

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

111131476900 is a wasteful number, since it uses less digits than its factorization.

111131476900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440653 (or 3440646 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 34.

The spelling of 111131476900 in words is "one hundred eleven billion, one hundred thirty-one million, four hundred seventy-six thousand, nine hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 323 340 380 425 475 646 850 950 1292 1615 1700 1900 3230 6460 8075 16150 32300 3440603 6881206 13762412 17203015 34406030 58490251 65371457 68812060 86015075 116980502 130742914 172030150 233961004 261485828 292451255 326857285 344060300 584902510 653714570 1111314769 1169805020 1307429140 1462256275 1634286425 2222629538 2924512550 3268572850 4445259076 5556573845 5849025100 6537145700 11113147690 22226295380 27782869225 55565738450 111131476900