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223131223230100 = 22522231312232301
BaseRepresentation
bin110010101110111111001001…
…010011001000011010010100
31002021001010200121000121112121
4302232333021103020122110
5213221240221121330400
62110321022512225324
764666461501550423
oct6256771123103224
91067033617017477
10223131223230100
1165107469549059
12210383ab23b244
139767251513213
143d1587489d2ba
151abe24daa621a
hexcaefc94c8694

223131223230100 has 18 divisors (see below), whose sum is σ = 484194754409534. Its totient is φ = 89252489292000.

The previous prime is 223131223230059. The next prime is 223131223230133. The reversal of 223131223230100 is 1032322131322.

223131223230100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 24244850296836 + 198886372933264 = 4923906^2 + 14102708^2 .

It is a super-3 number, since 3×2231312232301003 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1115656116051 + ... + 1115656116250.

Almost surely, 2223131223230100 is an apocalyptic number.

223131223230100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223131223230100 is an abundant number, since it is smaller than the sum of its proper divisors (261063531179434).

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

223131223230100 is a wasteful number, since it uses less digits than its factorization.

223131223230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231312232315 (or 2231312232308 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 223131223230100 its reverse (1032322131322), we get a palindrome (224163545361422).

The spelling of 223131223230100 in words is "two hundred twenty-three trillion, one hundred thirty-one billion, two hundred twenty-three million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2231312232301 4462624464602 8925248929204 11156561161505 22313122323010 44626244646020 55782805807525 111565611615050 223131223230100