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2312230440100 = 22527173133471789
BaseRepresentation
bin100001101001011011101…
…011001000110010100100
322012001021022111121110011
4201221123223020302210
5300340421443040400
64530120214540004
7326024140312240
oct41513353106244
98161238447404
102312230440100
1181167a892819
12314161367604
1313a0721ac189
147dcac077420
154022e27a8ba
hex21a5bac8ca4

2312230440100 has 288 divisors, whose sum is σ = 6112011306240. Its totient is φ = 741189795840.

The previous prime is 2312230440073. The next prime is 2312230440101. The reversal of 2312230440100 is 10440322132.

It is not an unprimeable number, because it can be changed into a prime (2312230440101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1292470006 + ... + 1292471794.

It is an arithmetic number, because the mean of its divisors is an integer number (21222261480).

Almost surely, 22312230440100 is an apocalyptic number.

2312230440100 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 2312230440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056005653120).

2312230440100 is an abundant number, since it is smaller than the sum of its proper divisors (3799780866140).

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

2312230440100 is a wasteful number, since it uses less digits than its factorization.

2312230440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2312230440100 its reverse (10440322132), we get a palindrome (2322670762232).

The spelling of 2312230440100 in words is "two trillion, three hundred twelve billion, two hundred thirty million, four hundred forty thousand, one hundred".