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2011400414232 = 2331120113788633
BaseRepresentation
bin11101010001010000110…
…011101010010000011000
321010021202221201220021020
4131101100303222100120
5230423322001223412
64140005151242440
7265214243266236
oct35212063522030
97107687656236
102011400414232
11706037107830
122859a5b19420
1311789c416a01
146d4d09d1956
15374c3cb318c
hex1d450cea418

2011400414232 has 64 divisors (see below), whose sum is σ = 5488366757760. Its totient is φ = 609212025600.

The previous prime is 2011400414227. The next prime is 2011400414237. The reversal of 2011400414232 is 2324140041102.

It is an interprime number because it is at equal distance from previous prime (2011400414227) and next prime (2011400414237).

It is a super-2 number, since 2×20114004142322 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011400414237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1363413 + ... + 2425220.

It is an arithmetic number, because the mean of its divisors is an integer number (85755730590).

Almost surely, 22011400414232 is an apocalyptic number.

2011400414232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2011400414232 is an abundant number, since it is smaller than the sum of its proper divisors (3476966343528).

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

2011400414232 is a wasteful number, since it uses less digits than its factorization.

2011400414232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790664 (or 3790660 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2011400414232 its reverse (2324140041102), we get a palindrome (4335540455334).

The spelling of 2011400414232 in words is "two trillion, eleven billion, four hundred million, four hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 2011 4022 6033 8044 12066 16088 22121 24132 44242 48264 66363 88484 132726 176968 265452 530904 3788633 7577266 11365899 15154532 22731798 30309064 41674963 45463596 83349926 90927192 125024889 166699852 250049778 333399704 500099556 1000199112 7618940963 15237881926 22856822889 30475763852 45713645778 60951527704 83808350593 91427291556 167616701186 182854583112 251425051779 335233402372 502850103558 670466804744 1005700207116 2011400414232