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3230221333131 = 331323492028413
BaseRepresentation
bin101111000000011000001…
…100011111001010001011
3102102210202200022202022000
4233000120030133022023
5410410443130130011
610511535421402043
7452242616205042
oct57003014371213
912383680282260
103230221333131
111035a24804851
12442056709323
131a57bb02a600
14b24b4999559
155905ae62356
hex2f01831f28b

3230221333131 has 48 divisors (see below), whose sum is σ = 5196796668000. Its totient is φ = 1982131751808.

The previous prime is 3230221333121. The next prime is 3230221333151. The reversal of 3230221333131 is 1313331220323.

3230221333131 is a `hidden beast` number, since 3 + 2 + 302 + 21 + 3 + 331 + 3 + 1 = 666.

It is not a de Polignac number, because 3230221333131 - 25 = 3230221333099 is a prime.

It is a super-2 number, since 2×32302213331312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3230221333095 and 3230221333104.

It is not an unprimeable number, because it can be changed into a prime (3230221333111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 578281 + ... + 2606693.

It is an arithmetic number, because the mean of its divisors is an integer number (108266597250).

Almost surely, 23230221333131 is an apocalyptic number.

3230221333131 is a deficient number, since it is larger than the sum of its proper divisors (1966575334869).

3230221333131 is a wasteful number, since it uses less digits than its factorization.

3230221333131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028797 (or 2028778 counting only the distinct ones).

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

Adding to 3230221333131 its reverse (1313331220323), we get a palindrome (4543552553454).

The spelling of 3230221333131 in words is "three trillion, two hundred thirty billion, two hundred twenty-one million, three hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 13 27 39 117 169 349 351 507 1047 1521 3141 4537 4563 9423 13611 40833 58981 122499 176943 530829 1592487 2028413 6085239 18255717 26369369 54767151 79108107 237324321 342801797 707916137 711972963 1028405391 2123748411 3085216173 6371245233 9202909781 9255648519 19113735699 27608729343 82826188029 119637827153 248478564087 358913481459 1076740444377 3230221333131