Search a number
-
+
21131231100 = 22352710062491
BaseRepresentation
bin10011101011100001…
…001111111101111100
32000112200010202120220
4103223201033331330
5321234043343400
613412455341340
71345436333520
oct235341177574
960480122526
1021131231100
118a64035761
124118981850
131cb9b71a55
141046633d80
1583a2207a0
hex4eb84ff7c

21131231100 has 72 divisors (see below), whose sum is σ = 69873944448. Its totient is φ = 4829995200.

The previous prime is 21131231021. The next prime is 21131231101. The reversal of 21131231100 is 113213112.

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 21131231100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21131231101) 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, 5029146 + ... + 5033345.

Almost surely, 221131231100 is an apocalyptic number.

21131231100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21131231100 is an abundant number, since it is smaller than the sum of its proper divisors (48742713348).

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

21131231100 is a wasteful number, since it uses less digits than its factorization.

21131231100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10062515 (or 10062508 counting only the distinct ones).

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

Adding to 21131231100 its reverse (113213112), we get a palindrome (21244444212).

The spelling of 21131231100 in words is "twenty-one billion, one hundred thirty-one million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 10062491 20124982 30187473 40249964 50312455 60374946 70437437 100624910 120749892 140874874 150937365 201249820 211312311 251562275 281749748 301874730 352187185 422624622 503124550 603749460 704374370 754686825 845249244 1006249100 1056561555 1408748740 1509373650 1760935925 2113123110 3018747300 3521871850 4226246220 5282807775 7043743700 10565615550 21131231100