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100201201110 = 23253135914409
BaseRepresentation
bin101110101010001110…
…1001111110111010110
3100120122012020102021200
41131110131033313112
53120203001413420
6114010511253330
710145036104443
oct1352435176726
9316565212250
10100201201110
1139549a6950a
121750521a246
1395ab3c765a
144bc7a769ca
152916c2eb90
hex175474fdd6

100201201110 has 48 divisors (see below), whose sum is σ = 268927102080. Its totient is φ = 25858373760.

The previous prime is 100201201073. The next prime is 100201201123. The reversal of 100201201110 is 11102102001.

It is a happy number.

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 = 100201201092 and 100201201101.

It is a congruent number.

It is an unprimeable number.

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, 17954415 + ... + 17959994.

It is an arithmetic number, because the mean of its divisors is an integer number (5602647960).

Almost surely, 2100201201110 is an apocalyptic number.

100201201110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100201201110 is an abundant number, since it is smaller than the sum of its proper divisors (168725900970).

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

100201201110 is a wasteful number, since it uses less digits than its factorization.

100201201110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35914453 (or 35914450 counting only the distinct ones).

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

Adding to 100201201110 its reverse (11102102001), we get a palindrome (111303303111).

The spelling of 100201201110 in words is "one hundred billion, two hundred one million, two hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 35914409 71828818 107743227 179572045 215486454 323229681 359144090 538716135 646459362 1077432270 1113346679 1616148405 2226693358 3232296810 3340040037 5566733395 6680080074 10020120111 11133466790 16700200185 20040240222 33400400370 50100600555 100201201110