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102311412100 = 22523727651733
BaseRepresentation
bin101111101001000111…
…1000100000110000100
3100210002020222020120021
41133102033010012010
53134013210141400
6115000132344524
710251241440202
oct1372217040604
9323066866507
10102311412100
113a432141237
12179b3a75144
13985664c101
144d48020072
1529dc11271a
hex17d23c4184

102311412100 has 36 divisors (see below), whose sum is σ = 228016198564. Its totient is φ = 39818494080.

The previous prime is 102311412037. The next prime is 102311412113. The reversal of 102311412100 is 1214113201.

It can be written as a sum of positive squares in 6 ways, for example, as 503194624 + 101808217476 = 22432^2 + 319074^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13822167 + ... + 13829566.

Almost surely, 2102311412100 is an apocalyptic number.

102311412100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102311412100 is an abundant number, since it is smaller than the sum of its proper divisors (125704786464).

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

102311412100 is a wasteful number, since it uses less digits than its factorization.

102311412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27651784 (or 27651777 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 102311412100 its reverse (1214113201), we get a palindrome (103525525301).

The spelling of 102311412100 in words is "one hundred two billion, three hundred eleven million, four hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 27651733 55303466 110606932 138258665 276517330 553034660 691293325 1023114121 1382586650 2046228242 2765173300 4092456484 5115570605 10231141210 20462282420 25577853025 51155706050 102311412100