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2300002131000 = 2335372171277247
BaseRepresentation
bin100001011110000010110…
…011110101110000111000
322010212201002210010220010
4201132002303311300320
5300140401021143000
64520334551501520
7325112124354300
oct41360263656070
98125632703803
102300002131000
11807475273142
1231190a0878a0
13138b7395ac12
147d46bdc8600
153ec6595cd50
hex21782cf5c38

2300002131000 has 768 divisors, whose sum is σ = 8909459619840. Its totient is φ = 490826649600.

The previous prime is 2300002130989. The next prime is 2300002131023. The reversal of 2300002131000 is 1312000032.

It is a happy number.

It is a super-2 number, since 2×23000021310002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 317369377 + ... + 317376623.

It is an arithmetic number, because the mean of its divisors is an integer number (11600858880).

Almost surely, 22300002131000 is an apocalyptic number.

2300002131000 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 2300002131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454729809920).

2300002131000 is an abundant number, since it is smaller than the sum of its proper divisors (6609457488840).

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

2300002131000 is a wasteful number, since it uses less digits than its factorization.

2300002131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7429 (or 7408 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 2300002131000 its reverse (1312000032), we get a palindrome (2301314131032).

The spelling of 2300002131000 in words is "two trillion, three hundred billion, two million, one hundred thirty-one thousand".