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230223220231131 = 32265720201476587
BaseRepresentation
bin110100010110001100000101…
…010000101100101111011011
31010012011010101001120110110100
4310112030011100230233123
5220133434123334344011
62133351030504550443
766331036005455631
oct6426140520545733
91105133331513410
10230223220231131
11673a1134a05966
12219a2976782423
139b5cc585c811a
1440bcc12d0b351
151b9397ab00d56
hexd1630542cbdb

230223220231131 has 24 divisors (see below), whose sum is σ = 332686975433904. Its totient is φ = 153416464819200.

The previous prime is 230223220231057. The next prime is 230223220231211. The reversal of 230223220231131 is 131132022322032.

230223220231131 is a `hidden beast` number, since 2 + 3 + 0 + 22 + 322 + 0 + 2 + 311 + 3 + 1 = 666.

It is not a de Polignac number, because 230223220231131 - 27 = 230223220231003 is a prime.

It is a super-2 number, since 2×2302232202311312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230223220231095 and 230223220231104.

It is not an unprimeable number, because it can be changed into a prime (230223220231331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 482828220 + ... + 483304806.

It is an arithmetic number, because the mean of its divisors is an integer number (13861957309746).

Almost surely, 2230223220231131 is an apocalyptic number.

230223220231131 is a deficient number, since it is larger than the sum of its proper divisors (102463755202773).

230223220231131 is a wasteful number, since it uses less digits than its factorization.

230223220231131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499451 (or 499448 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 230223220231131 its reverse (131132022322032), we get a palindrome (361355242553163).

The spelling of 230223220231131 in words is "two hundred thirty trillion, two hundred twenty-three billion, two hundred twenty million, two hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 2657 7971 20201 23913 60603 181809 476587 1429761 4289283 53674057 161022171 483066513 1266291659 3798874977 9627533987 11396624931 28882601961 86647805883 25580357803459 76741073410377 230223220231131