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11323123100 = 22522326318719
BaseRepresentation
bin10101000101110100…
…10010010110011100
31002020010110020210122
422202322102112130
5141142204414400
65111325454112
7550411646462
oct124272222634
932203406718
1011323123100
114890675a83
122240111338
1310b5b60253
14795b82832
15464119685
hex2a2e9259c

11323123100 has 72 divisors (see below), whose sum is σ = 25738352640. Its totient is φ = 4315622080.

The previous prime is 11323123087. The next prime is 11323123103. The reversal of 11323123100 is 132132311.

It is a super-2 number, since 2×113231231002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11323123103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 595541 + ... + 614259.

It is an arithmetic number, because the mean of its divisors is an integer number (357477120).

Almost surely, 211323123100 is an apocalyptic number.

11323123100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11323123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12869176320).

11323123100 is an abundant number, since it is smaller than the sum of its proper divisors (14415229540).

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

11323123100 is a wasteful number, since it uses less digits than its factorization.

11323123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19019 (or 19012 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 11323123100 its reverse (132132311), we get a palindrome (11455255411).

The spelling of 11323123100 in words is "eleven billion, three hundred twenty-three million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 263 460 526 575 1052 1150 1315 2300 2630 5260 6049 6575 12098 13150 18719 24196 26300 30245 37438 60490 74876 93595 120980 151225 187190 302450 374380 430537 467975 604900 861074 935950 1722148 1871900 2152685 4305370 4923097 8610740 9846194 10763425 19692388 21526850 24615485 43053700 49230970 98461940 113231231 123077425 226462462 246154850 452924924 492309700 566156155 1132312310 2264624620 2830780775 5661561550 11323123100