Search a number
-
+
21112311000000 = 26356113717291
BaseRepresentation
bin1001100110011100101111…
…10011000010101111000000
32202202022120020211212112110
410303032113303002233000
510231401003104000000
6112522510051055320
74306212514355463
oct463162763025700
982668506755473
1021112311000000
1167aa7541875a0
12244b85a2a1540
13ba1b617a339c
1452dbac77b2da
152692a653a850
hex133397cc2bc0

21112311000000 has 784 divisors, whose sum is σ = 78234491085696. Its totient is φ = 4979520000000.

The previous prime is 21112310999981. The next prime is 21112311000047. The reversal of 21112311000000 is 11321112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 21112311000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1220991355 + ... + 1221008645.

Almost surely, 221112311000000 is an apocalyptic number.

21112311000000 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 21112311000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39117245542848).

21112311000000 is an abundant number, since it is smaller than the sum of its proper divisors (57122180085696).

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

21112311000000 is an equidigital number, since it uses as much as digits as its factorization.

21112311000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17384 (or 17349 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 21112311000000 its reverse (11321112), we get a palindrome (21112322321112).

The spelling of 21112311000000 in words is "twenty-one trillion, one hundred twelve billion, three hundred eleven million", and thus it is an aban number.