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20131234000 = 245310065617
BaseRepresentation
bin10010101111111010…
…100100000011010000
31220221222110122110021
4102233322210003100
5312212043442000
613125334113224
71311604444213
oct225772440320
956858418407
1020131234000
1185a0614079
123a99aab814
131b8a935ca7
14d8d8c777a
157cc54011a
hex4afea40d0

20131234000 has 40 divisors (see below), whose sum is σ = 48677328648. Its totient is φ = 8052492800.

The previous prime is 20131233973. The next prime is 20131234001. The reversal of 20131234000 is 43213102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1492431424 + 18638802576 = 38632^2 + 136524^2 .

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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20131234001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5030809 + ... + 5034808.

Almost surely, 220131234000 is an apocalyptic number.

20131234000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20131234000 is an abundant number, since it is smaller than the sum of its proper divisors (28546094648).

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

20131234000 is a wasteful number, since it uses less digits than its factorization.

20131234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10065640 (or 10065624 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20131234000 its reverse (43213102), we get a palindrome (20174447102).

The spelling of 20131234000 in words is "twenty billion, one hundred thirty-one million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 10065617 20131234 40262468 50328085 80524936 100656170 161049872 201312340 251640425 402624680 503280850 805249360 1006561700 1258202125 2013123400 2516404250 4026246800 5032808500 10065617000 20131234000