Search a number
-
+
21111132322000 = 2453716786310463
BaseRepresentation
bin1001100110011010100011…
…00010101111100011010000
32202202012112002221211021201
410303031101202233203100
510231341044333301000
6112522153104000544
74306141352643460
oct463152142574320
982665462854251
1021111132322000
1167aa1a9914346
12244b58b600154
13ba1a04535c96
1452dad9ddbba0
15269237d1296a
hex1333518af8d0

21111132322000 has 320 divisors, whose sum is σ = 58762062987264. Its totient is φ = 7185736819200.

The previous prime is 21111132321971. The next prime is 21111132322081. The reversal of 21111132322000 is 22323111112.

It is a super-2 number, since 2×211111323220002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2017688769 + ... + 2017699231.

Almost surely, 221111132322000 is an apocalyptic number.

21111132322000 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 21111132322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29381031493632).

21111132322000 is an abundant number, since it is smaller than the sum of its proper divisors (37650930665264).

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

21111132322000 is a wasteful number, since it uses less digits than its factorization.

21111132322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11523 (or 11507 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 21111132322000 its reverse (22323111112), we get a palindrome (21133455433112).

The spelling of 21111132322000 in words is "twenty-one trillion, one hundred eleven billion, one hundred thirty-two million, three hundred twenty-two thousand".