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2321213300100 = 2232522579125889
BaseRepresentation
bin100001110001110011000…
…110000001110110000100
322012220110100100011210200
4201301303012001312010
5301012321101100400
64534203424450500
7326462554335402
oct41616306016604
98186410304720
102321213300100
1181546a437462
12315a49779a30
1313ab7423aa56
14804c10aa472
15405a7bbdb00
hex21c73181d84

2321213300100 has 54 divisors (see below), whose sum is σ = 7275714135690. Its totient is φ = 618990213120.

The previous prime is 2321213300011. The next prime is 2321213300117. The reversal of 2321213300100 is 10033121232.

2321213300100 is a `hidden beast` number, since 2 + 321 + 2 + 1 + 330 + 0 + 10 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 31057717824 + 2290155582276 = 176232^2 + 1513326^2 .

It is a super-2 number, since 2×23212133001002 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1289562045 + ... + 1289563844.

Almost surely, 22321213300100 is an apocalyptic number.

2321213300100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2321213300100 is an abundant number, since it is smaller than the sum of its proper divisors (4954500835590).

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

2321213300100 is a wasteful number, since it uses less digits than its factorization.

2321213300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579125909 (or 2579125899 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2321213300100 its reverse (10033121232), we get a palindrome (2331246421332).

The spelling of 2321213300100 in words is "two trillion, three hundred twenty-one billion, two hundred thirteen million, three hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2579125889 5158251778 7737377667 10316503556 12895629445 15474755334 23212133001 25791258890 30949510668 38686888335 46424266002 51582517780 64478147225 77373776670 92848532004 116060665005 128956294450 154747553340 193434441675 232121330010 257912588900 386868883350 464242660020 580303325025 773737766700 1160606650050 2321213300100