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20132313102 = 2331150966587
BaseRepresentation
bin10010101111111110…
…101011100000001110
31220222001111110201000
4102233332223200032
5312212333004402
613125413201130
71311616560246
oct225776534016
956861443630
1020132313102
1185a11908a0
123a9a3301a6
131b8ac23205
14d8dac8b26
157cc6a4c1c
hex4affab80e

20132313102 has 64 divisors (see below), whose sum is σ = 48902227200. Its totient is φ = 6088623840.

The previous prime is 20132313101. The next prime is 20132313137. The reversal of 20132313102 is 20131323102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20132313101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269053 + ... + 335639.

It is an arithmetic number, because the mean of its divisors is an integer number (764097300).

Almost surely, 220132313102 is an apocalyptic number.

20132313102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20132313102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24451113600).

20132313102 is an abundant number, since it is smaller than the sum of its proper divisors (28769914098).

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

20132313102 is a wasteful number, since it uses less digits than its factorization.

20132313102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67118 (or 67112 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20132313102 its reverse (20131323102), we get a palindrome (40263636204).

The spelling of 20132313102 in words is "twenty billion, one hundred thirty-two million, three hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 509 594 1018 1527 3054 4581 5599 9162 11198 13743 16797 27486 33594 50391 66587 100782 133174 151173 199761 302346 399522 599283 732457 1198566 1464914 1797849 2197371 3595698 4394742 6592113 13184226 19776339 33892783 39552678 67785566 101678349 203356698 305035047 372820613 610070094 745641226 915105141 1118461839 1830210282 2236923678 3355385517 6710771034 10066156551 20132313102