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332030300031 = 321914531336337
BaseRepresentation
bin1001101010011101000…
…11000100111101111111
31011202000202120212011200
410311032203010331333
520414444224100111
6412311013350543
732663006661303
oct4651643047577
91152022525150
10332030300031
111188a44a2841
1254424338453
1325405a19771
14120db091d03
158984683256
hex4d4e8c4f7f

332030300031 has 24 divisors (see below), whose sum is σ = 505189217520. Its totient is φ = 209558866176.

The previous prime is 332030299961. The next prime is 332030300087. The reversal of 332030300031 is 130003030233.

332030300031 is a `hidden beast` number, since 332 + 0 + 3 + 0 + 300 + 0 + 31 = 666.

It is not a de Polignac number, because 332030300031 - 221 = 332028202879 is a prime.

It is a super-2 number, since 2×3320303000312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332030299977 and 332030300013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332030300831) 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, 419706 + ... + 916631.

It is an arithmetic number, because the mean of its divisors is an integer number (21049550730).

Almost surely, 2332030300031 is an apocalyptic number.

332030300031 is a deficient number, since it is larger than the sum of its proper divisors (173158917489).

332030300031 is a wasteful number, since it uses less digits than its factorization.

332030300031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337815 (or 1337812 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 332030300031 its reverse (130003030233), we get a palindrome (462033330264).

The spelling of 332030300031 in words is "three hundred thirty-two billion, thirty million, three hundred thousand, thirty-one".

Divisors: 1 3 9 19 57 171 1453 4359 13077 27607 82821 248463 1336337 4009011 12027033 25390403 76171209 228513627 1941697661 5825092983 17475278949 36892255559 110676766677 332030300031