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111100130000 = 245425144263
BaseRepresentation
bin110011101111000010…
…1010111001011010000
3101121202202111101000122
41213132011113023100
53310013113130000
6123012205205412
711012110344356
oct1473605271320
9347682441018
10111100130000
1143132144062
1219647260868
13a6273c4ac2
14553d3577d6
152d539a7085
hex19de1572d0

111100130000 has 100 divisors (see below), whose sum is σ = 270062277408. Its totient is φ = 44262000000.

The previous prime is 111100129981. The next prime is 111100130021. The reversal of 111100130000 is 31001111.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 111100130000.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 2487869 + ... + 2532131.

Almost surely, 2111100130000 is an apocalyptic number.

111100130000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111100130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135031138704).

111100130000 is an abundant number, since it is smaller than the sum of its proper divisors (158962147408).

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

111100130000 is an equidigital number, since it uses as much as digits as its factorization.

111100130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44542 (or 44521 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 111100130000 its reverse (31001111), we get a palindrome (111131131111).

The spelling of 111100130000 in words is "one hundred eleven billion, one hundred million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 251 400 500 502 625 1000 1004 1250 1255 2000 2008 2500 2510 4016 5000 5020 6275 10000 10040 12550 20080 25100 31375 44263 50200 62750 88526 100400 125500 156875 177052 221315 251000 313750 354104 442630 502000 627500 708208 885260 1106575 1255000 1770520 2213150 2510000 3541040 4426300 5532875 8852600 11065750 11110013 17705200 22131500 22220026 27664375 44263000 44440052 55328750 55550065 88526000 88880104 110657500 111100130 177760208 221315000 222200260 277750325 442630000 444400520 555500650 888801040 1111001300 1388751625 2222002600 2777503250 4444005200 5555006500 6943758125 11110013000 13887516250 22220026000 27775032500 55550065000 111100130000