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2011234131324 = 223611161338873
BaseRepresentation
bin11101010001000110111…
…001010101110101111100
321010021100100211212000000
4131101012321111311330
5230423001414200244
64135540451234300
7265210154021355
oct35210671256574
97107310755000
102011234131324
11705a61263a40
1228595a2a8990
13117873b36562
146d4b68a8d2c
15374b43b9169
hex1d446e55d7c

2011234131324 has 168 divisors, whose sum is σ = 5760526896432. Its totient is φ = 609071374080.

The previous prime is 2011234131317. The next prime is 2011234131331. The reversal of 2011234131324 is 4231314321102.

2011234131324 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 2 + 341 + 313 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2011234131317) and next prime (2011234131331).

It is a super-3 number, since 3×20112341313243 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 55 ways as a sum of consecutive naturals, for example, 51719152 + ... + 51758024.

It is an arithmetic number, because the mean of its divisors is an integer number (34288850574).

Almost surely, 22011234131324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011234131324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880263448216).

2011234131324 is an abundant number, since it is smaller than the sum of its proper divisors (3749292765108).

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

2011234131324 is a wasteful number, since it uses less digits than its factorization.

2011234131324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40519 (or 40502 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2011234131324 its reverse (4231314321102), we get a palindrome (6242548452426).

The spelling of 2011234131324 in words is "two trillion, eleven billion, two hundred thirty-four million, one hundred thirty-one thousand, three hundred twenty-four".