Search a number
-
+
112102332100 = 225211247741143
BaseRepresentation
bin110100001100111010…
…0011101011011000100
3101201100121022111211221
41220121310131123010
53314041144111400
6123255450010124
711046000046363
oct1503164353304
9351317274757
10112102332100
11435a6931360
1219886a16944
13a756c233b5
1455d64b97da
152db1970c1a
hex1a19d1d6c4

112102332100 has 72 divisors (see below), whose sum is σ = 265490382528. Its totient is φ = 40747036800.

The previous prime is 112102332049. The next prime is 112102332103. The reversal of 112102332100 is 1233201211.

It is not an unprimeable number, because it can be changed into a prime (112102332103) 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, 2704129 + ... + 2745271.

It is an arithmetic number, because the mean of its divisors is an integer number (3687366424).

Almost surely, 2112102332100 is an apocalyptic number.

112102332100 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 112102332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132745191264).

112102332100 is an abundant number, since it is smaller than the sum of its proper divisors (153388050428).

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

112102332100 is a wasteful number, since it uses less digits than its factorization.

112102332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43645 (or 43638 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 112102332100 its reverse (1233201211), we get a palindrome (113335533311).

The spelling of 112102332100 in words is "one hundred twelve billion, one hundred two million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 2477 4954 9908 12385 24770 27247 41143 49540 54494 61925 82286 108988 123850 136235 164572 205715 247700 272470 411430 452573 544940 681175 822860 905146 1028575 1362350 1810292 2057150 2262865 2724700 4114300 4525730 9051460 11314325 22628650 45257300 101911211 203822422 407644844 509556055 1019112110 1121023321 2038224220 2242046642 2547780275 4484093284 5095560550 5605116605 10191121100 11210233210 22420466420 28025583025 56051166050 112102332100