Search a number
-
+
3310003303131 = 37231799194377
BaseRepresentation
bin110000001010101011100…
…100100011001011011011
3102201102200211011202100210
4300022223210203023123
5413212341321200011
611012332230102203
7461065652566500
oct60125344431333
912642624152323
103310003303131
111066845633748
124556014aa963
131b0193c34595
14b62c27bb4a7
155b17a2146a6
hex302ab9232db

3310003303131 has 48 divisors (see below), whose sum is σ = 5366574551040. Its totient is φ = 1807246546560.

The previous prime is 3310003303111. The next prime is 3310003303133. The reversal of 3310003303131 is 1313033000133.

It is not a de Polignac number, because 3310003303131 - 25 = 3310003303099 is a prime.

It is a super-2 number, since 2×33100033031312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3310003303098 and 3310003303107.

It is not an unprimeable number, because it can be changed into a prime (3310003303133) 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, 4237186 + ... + 4957191.

It is an arithmetic number, because the mean of its divisors is an integer number (111803636480).

Almost surely, 23310003303131 is an apocalyptic number.

3310003303131 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3310003303131 is a deficient number, since it is larger than the sum of its proper divisors (2056571247909).

3310003303131 is a wasteful number, since it uses less digits than its factorization.

3310003303131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9194504 (or 9194497 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 3310003303131 its reverse (1313033000133), we get a palindrome (4623036303264).

The spelling of 3310003303131 in words is "three trillion, three hundred ten billion, three million, three hundred three thousand, one hundred thirty-one".

Divisors: 1 3 7 21 31 49 79 93 147 217 237 553 651 1519 1659 2449 3871 4557 7347 11613 17143 51429 120001 360003 9194377 27583131 64360639 193081917 285025687 450524473 726355783 855077061 1351573419 1995179809 2179067349 5084490481 5985539427 13966258663 15253471443 22517029273 35591433367 41898775989 67551087819 106774300101 157619204911 472857614733 1103334434377 3310003303131