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2012501400 = 23352713293141
BaseRepresentation
bin111011111110100…
…0101010110011000
312012020212122220220
41313331011112120
513110200021100
6531410520040
7100604660010
oct16775052630
95166778826
102012501400
119430060a8
12481b96020
13260c33640
141513d0c40
15bba31aa0
hex77f45598

2012501400 has 768 divisors, whose sum is σ = 8399462400. Its totient is φ = 387072000.

The previous prime is 2012501399. The next prime is 2012501401. The reversal of 2012501400 is 41052102.

It is an interprime number because it is at equal distance from previous prime (2012501399) and next prime (2012501401).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2012501400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012501401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49085380 + ... + 49085420.

It is an arithmetic number, because the mean of its divisors is an integer number (10936800).

Almost surely, 22012501400 is an apocalyptic number.

2012501400 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 2012501400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199731200).

2012501400 is an abundant number, since it is smaller than the sum of its proper divisors (6386961000).

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

2012501400 is a wasteful number, since it uses less digits than its factorization.

2012501400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2012501400 is about 44860.9117161031. The cubic root of 2012501400 is about 1262.5407286799.

Adding to 2012501400 its reverse (41052102), we get a palindrome (2053553502).

The spelling of 2012501400 in words is "two billion, twelve million, five hundred one thousand, four hundred".