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23132111100 = 22352721573613
BaseRepresentation
bin10101100010110010…
…000000000011111100
32012201010010222221120
4111202302000003330
5334333310023400
614343213230540
71446143462100
oct254262000374
965633128846
1023132111100
1198a052349a
124596a92450
132248566807
14119627b900
15905c08ca0
hex562c800fc

23132111100 has 108 divisors (see below), whose sum is σ = 77856126264. Its totient is φ = 5287336320.

The previous prime is 23132111099. The next prime is 23132111113. The reversal of 23132111100 is 111123132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23132111100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 772107 + ... + 801506.

It is an arithmetic number, because the mean of its divisors is an integer number (720890058).

Almost surely, 223132111100 is an apocalyptic number.

23132111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23132111100 is an abundant number, since it is smaller than the sum of its proper divisors (54724015164).

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

23132111100 is a wasteful number, since it uses less digits than its factorization.

23132111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573644 (or 1573630 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 23132111100 its reverse (111123132), we get a palindrome (23243234232).

The spelling of 23132111100 in words is "twenty-three billion, one hundred thirty-two million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 350 420 490 525 588 700 735 980 1050 1225 1470 2100 2450 2940 3675 4900 7350 14700 1573613 3147226 4720839 6294452 7868065 9441678 11015291 15736130 18883356 22030582 23604195 31472260 33045873 39340325 44061164 47208390 55076455 66091746 77107037 78680650 94416780 110152910 118020975 132183492 154214074 157361300 165229365 220305820 231321111 236041950 275382275 308428148 330458730 385535185 462642222 472083900 550764550 660917460 771070370 826146825 925284444 1101529100 1156605555 1542140740 1652293650 1927675925 2313211110 3304587300 3855351850 4626422220 5783027775 7710703700 11566055550 23132111100