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2131200342 = 2331714915581
BaseRepresentation
bin111111100000111…
…1000100101010110
312111112020012021000
41333001320211112
513331041402332
6551251004130
7103545622035
oct17701704526
95445205230
102131200342
119a40093a7
124b5899646
1327c6c32bb
1416308c71c
15c717bb7c
hex7f078956

2131200342 has 64 divisors (see below), whose sum is σ = 5048568000. Its totient is φ = 664081920.

The previous prime is 2131200329. The next prime is 2131200349. The reversal of 2131200342 is 2430021312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131200349) 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 31 ways as a sum of consecutive naturals, for example, 128992 + ... + 144572.

It is an arithmetic number, because the mean of its divisors is an integer number (78883875).

Almost surely, 22131200342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131200342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524284000).

2131200342 is an abundant number, since it is smaller than the sum of its proper divisors (2917367658).

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

2131200342 is a wasteful number, since it uses less digits than its factorization.

2131200342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15758 (or 15752 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2131200342 is about 46164.9254521222. The cubic root of 2131200342 is about 1286.8899988030.

Adding to 2131200342 its reverse (2430021312), we get a palindrome (4561221654).

The spelling of 2131200342 in words is "two billion, one hundred thirty-one million, two hundred thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 149 153 298 306 447 459 894 918 1341 2533 2682 4023 5066 7599 8046 15198 15581 22797 31162 45594 46743 68391 93486 136782 140229 264877 280458 420687 529754 794631 841374 1589262 2321569 2383893 4643138 4767786 6964707 7151679 13929414 14303358 20894121 39466673 41788242 62682363 78933346 118400019 125364726 236800038 355200057 710400114 1065600171 2131200342