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100112222010 = 23537239377369
BaseRepresentation
bin101110100111100100…
…1110100011100111010
3100120101222210210220110
41131033021310130322
53120012212101020
6113554012205150
710142605563243
oct1351711643472
9316358723813
10100112222010
1139503815169
121749b4697b6
139595b422b8
144bb9d13cca
15290e0058e0
hex174f27473a

100112222010 has 64 divisors (see below), whose sum is σ = 247796236800. Its totient is φ = 25866312192.

The previous prime is 100112221991. The next prime is 100112222039. The reversal of 100112222010 is 10222211001.

100112222010 is digitally balanced in base 3 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76606 + ... + 453974.

It is an arithmetic number, because the mean of its divisors is an integer number (3871816200).

Almost surely, 2100112222010 is an apocalyptic number.

100112222010 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 100112222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123898118400).

100112222010 is an abundant number, since it is smaller than the sum of its proper divisors (147684014790).

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

100112222010 is a wasteful number, since it uses less digits than its factorization.

100112222010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377655.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100112222010 its reverse (10222211001), we get a palindrome (110334433011).

The spelling of 100112222010 in words is "one hundred billion, one hundred twelve million, two hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 239 370 478 555 717 1110 1195 1434 2390 3585 7170 8843 17686 26529 44215 53058 88430 132645 265290 377369 754738 1132107 1886845 2264214 3773690 5660535 11321070 13962653 27925306 41887959 69813265 83775918 90191191 139626530 180382382 209439795 270573573 418879590 450955955 541147146 901911910 1352867865 2705735730 3337074067 6674148134 10011222201 16685370335 20022444402 33370740670 50056111005 100112222010