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21120103433040 = 243588000430971
BaseRepresentation
bin1001100110101011010000…
…10000110100001101010000
32202210001200022200111002120
410303111220100310031100
510232012432434324130
6112530235214014240
74306606565064243
oct463255020641520
982701608614076
1021120103433040
116802a928738a7
122451273aa7380
13ba280400cc01
1453030b65325a
152695b06d4910
hex133568434350

21120103433040 has 40 divisors (see below), whose sum is σ = 65472320643168. Its totient is φ = 5632027582080.

The previous prime is 21120103433027. The next prime is 21120103433069. The reversal of 21120103433040 is 4033430102112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21120103433040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44000215246 + ... + 44000215725.

Almost surely, 221120103433040 is an apocalyptic number.

21120103433040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21120103433040 is an abundant number, since it is smaller than the sum of its proper divisors (44352217210128).

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

21120103433040 is a wasteful number, since it uses less digits than its factorization.

21120103433040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88000430987 (or 88000430981 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21120103433040 its reverse (4033430102112), we get a palindrome (25153533535152).

The spelling of 21120103433040 in words is "twenty-one trillion, one hundred twenty billion, one hundred three million, four hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 88000430971 176000861942 264001292913 352001723884 440002154855 528002585826 704003447768 880004309710 1056005171652 1320006464565 1408006895536 1760008619420 2112010343304 2640012929130 3520017238840 4224020686608 5280025858260 7040034477680 10560051716520 21120103433040