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21112322231000 = 23537211135935081
BaseRepresentation
bin1001100110011100110000…
…11101111000101011011000
32202202022121000222110120102
410303032120131320223120
510231401013442343000
6112522511131514532
74306213012003100
oct463163035705330
982668530873512
1021112322231000
1167aa75a558610
12244b861bb8a48
13ba1b63c06350
1452dbb0062200
152692a75083d5
hex133398778ad8

21112322231000 has 768 divisors, whose sum is σ = 67642725870720. Its totient is φ = 6062837760000.

The previous prime is 21112322230957. The next prime is 21112322231041. The reversal of 21112322231000 is 13222321112.

It is a super-2 number, since 2×211123222310002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4155148460 + ... + 4155153540.

Almost surely, 221112322231000 is an apocalyptic number.

21112322231000 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 21112322231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33821362935360).

21112322231000 is an abundant number, since it is smaller than the sum of its proper divisors (46530403639720).

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

21112322231000 is a wasteful number, since it uses less digits than its factorization.

21112322231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5733 (or 5712 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 21112322231000 its reverse (13222321112), we get a palindrome (21125544552112).

The spelling of 21112322231000 in words is "twenty-one trillion, one hundred twelve billion, three hundred twenty-two million, two hundred thirty-one thousand".