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21132111300 = 2235270440371
BaseRepresentation
bin10011101011100100…
…100110110111000100
32000112201210110222220
4103223210212313010
5321234310030200
613412530252340
71345446660636
oct235344466704
960481713886
1021132111300
118a64586aa3
1241191270b0
131cba0bc591
1410467c2a56
1583a3464a0
hex4eb926dc4

21132111300 has 36 divisors (see below), whose sum is σ = 61142242896. Its totient is φ = 5635229600.

The previous prime is 21132111289. The next prime is 21132111311. The reversal of 21132111300 is 311123112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21132111289) and next prime (21132111311).

It is a super-2 number, since 2×211321113002 (a number of 21 digits) contains 22 as substring.

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 21132111300.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35219886 + ... + 35220485.

It is an arithmetic number, because the mean of its divisors is an integer number (1698395636).

Almost surely, 221132111300 is an apocalyptic number.

21132111300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21132111300 is an abundant number, since it is smaller than the sum of its proper divisors (40010131596).

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

21132111300 is a wasteful number, since it uses less digits than its factorization.

21132111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70440388 (or 70440381 counting only the distinct ones).

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

Adding to 21132111300 its reverse (311123112), we get a palindrome (21443234412).

The spelling of 21132111300 in words is "twenty-one billion, one hundred thirty-two million, one hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 70440371 140880742 211321113 281761484 352201855 422642226 704403710 845284452 1056605565 1408807420 1761009275 2113211130 3522018550 4226422260 5283027825 7044037100 10566055650 21132111300