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100202110110 = 23251398009761
BaseRepresentation
bin101110101010010000…
…0101101110010011110
3100120122020221121012100
41131110200231302132
53120203220010420
6114010542545530
710145046611544
oct1352440556236
9316566847170
10100202110110
113954a52a453
12175055982a6
1395ab65531b
144bc7c31d94
152916d5e190
hex175482dc9e

100202110110 has 48 divisors (see below), whose sum is σ = 262399803120. Its totient is φ = 26528325120.

The previous prime is 100202110079. The next prime is 100202110159. The reversal of 100202110110 is 11011202001.

It is a happy number.

100202110110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 100202110092 and 100202110101.

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 23 ways as a sum of consecutive naturals, for example, 3992371 + ... + 4017390.

It is an arithmetic number, because the mean of its divisors is an integer number (5466662565).

Almost surely, 2100202110110 is an apocalyptic number.

100202110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100202110110 is an abundant number, since it is smaller than the sum of its proper divisors (162197693010).

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

100202110110 is a wasteful number, since it uses less digits than its factorization.

100202110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8009913 (or 8009910 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100202110110 its reverse (11011202001), we get a palindrome (111213312111).

The spelling of 100202110110 in words is "one hundred billion, two hundred two million, one hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 278 417 695 834 1251 1390 2085 2502 4170 6255 12510 8009761 16019522 24029283 40048805 48058566 72087849 80097610 120146415 144175698 240292830 360439245 720878490 1113356779 2226713558 3340070337 5566783895 6680140674 10020211011 11133567790 16700351685 20040422022 33400703370 50101055055 100202110110