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1030233112311 = 313217982912161
BaseRepresentation
bin11101111110111101010…
…11011011111011110111
310122111012201100122211110
432333132223123323313
5113334404134043221
62105141011010103
7134301064652424
oct16773653337367
93574181318743
101030233112311
11367a12808727
121477bab99933
13761c5a3c700
1437c13812d4b
151bbeaa8a776
hexefdeadbef7

1030233112311 has 48 divisors (see below), whose sum is σ = 1575223212960. Its totient is φ = 596586332160.

The previous prime is 1030233112303. The next prime is 1030233112319. The reversal of 1030233112311 is 1132113320301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1030233112303) and next prime (1030233112319).

It is not a de Polignac number, because 1030233112311 - 23 = 1030233112303 is a prime.

It is a super-2 number, since 2×10302331123112 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030233112319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84710071 + ... + 84722231.

It is an arithmetic number, because the mean of its divisors is an integer number (32817150270).

Almost surely, 21030233112311 is an apocalyptic number.

1030233112311 is a deficient number, since it is larger than the sum of its proper divisors (544990100649).

1030233112311 is a wasteful number, since it uses less digits than its factorization.

1030233112311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22036 (or 22023 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1030233112311 its reverse (1132113320301), we get a palindrome (2162346432612).

The spelling of 1030233112311 in words is "one trillion, thirty billion, two hundred thirty-three million, one hundred twelve thousand, three hundred eleven".

Divisors: 1 3 13 17 39 51 169 221 507 663 2873 8619 9829 12161 29487 36483 127777 158093 167093 206737 383331 474279 501279 620211 1661101 2055209 2172209 2687581 4983303 6165627 6516627 8062743 28238717 34938553 84716151 104815659 119530469 358591407 1553896097 2032017973 4661688291 6096053919 20200649261 26416233649 60601947783 79248700947 343411037437 1030233112311