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231023303320131 = 32756951973124001
BaseRepresentation
bin110100100001110101001101…
…111011011110001001000011
31010021222121112020001120010100
4310201311031323132021003
5220240041211122221011
62135202350154133443
766442611551510640
oct6441651573361103
91107877466046110
10231023303320131
116767a483a60653
1221ab1a44a21283
139bba533846b8a
144109832300dc7
151ba96a6356d56
hexd21d4dede243

231023303320131 has 48 divisors (see below), whose sum is σ = 382052483317440. Its totient is φ = 131777708544000.

The previous prime is 231023303320097. The next prime is 231023303320133. The reversal of 231023303320131 is 131023303320132.

231023303320131 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 2 + 3 + 303 + 320 + 1 + 31 = 666.

It is not a de Polignac number, because 231023303320131 - 211 = 231023303318083 is a prime.

It is a super-2 number, since 2×2310233033201312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231023303320095 and 231023303320104.

It is not an unprimeable number, because it can be changed into a prime (231023303320133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1863014131 + ... + 1863138131.

It is an arithmetic number, because the mean of its divisors is an integer number (7959426735780).

Almost surely, 2231023303320131 is an apocalyptic number.

231023303320131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

231023303320131 is a deficient number, since it is larger than the sum of its proper divisors (151029179997309).

231023303320131 is a wasteful number, since it uses less digits than its factorization.

231023303320131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176556 (or 176553 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 231023303320131 its reverse (131023303320132), we get a palindrome (362046606640263).

Subtracting from 231023303320131 its reverse (131023303320132), we obtain a palindrome (99999999999999).

The spelling of 231023303320131 in words is "two hundred thirty-one trillion, twenty-three billion, three hundred three million, three hundred twenty thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 63 569 1707 3983 5121 11949 35847 51973 124001 155919 363811 372003 467757 868007 1091433 1116009 2604021 3274299 7812063 29572637 70556569 88717911 207008459 211669707 266153733 493895983 621025377 635009121 1481687949 1863076131 4445063847 6444703973 19334111919 45112927811 58002335757 135338783433 406016350299 3667036560637 11001109681911 25669255924459 33003329045733 77007767773377 231023303320131