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21131331100 = 225211210117291
BaseRepresentation
bin10011101011100001…
…101000011000011100
32000112200022211202121
4103223201220120130
5321234110043400
613412501432324
71345440231205
oct235341503034
960480284677
1021131331100
118a640a3900
124118a0b6a4
131cb9ba8419
14104665c5ac
1583a24021a
hex4eb86861c

21131331100 has 108 divisors (see below), whose sum is σ = 50904570024. Its totient is φ = 7607600000.

The previous prime is 21131331077. The next prime is 21131331113. The reversal of 21131331100 is 113313112.

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, 1213455 + ... + 1230745.

Almost surely, 221131331100 is an apocalyptic number.

21131331100 is a gapful number since it is divisible by the number (20) 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 21131331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25452285012).

21131331100 is an abundant number, since it is smaller than the sum of its proper divisors (29773238924).

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

21131331100 is a wasteful number, since it uses less digits than its factorization.

21131331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17428 (or 17410 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 21131331100 its reverse (113313112), we get a palindrome (21244644212).

The spelling of 21131331100 in words is "twenty-one billion, one hundred thirty-one million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 121 202 220 242 275 404 484 505 550 605 1010 1100 1111 1210 2020 2222 2420 2525 3025 4444 5050 5555 6050 10100 11110 12100 12221 17291 22220 24442 27775 34582 48884 55550 61105 69164 86455 111100 122210 172910 190201 244420 305525 345820 380402 432275 611050 760804 864550 951005 1222100 1729100 1746391 1902010 2092211 3492782 3804020 4184422 4755025 6985564 8368844 8731955 9510050 10461055 17463910 19020100 19210301 20922110 34927820 38420602 41844220 43659775 52305275 76841204 87319550 96051505 104610550 174639100 192103010 209221100 211313311 384206020 422626622 480257525 845253244 960515050 1056566555 1921030100 2113133110 4226266220 5282832775 10565665550 21131331100