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330230013301233 = 33238311356698087
BaseRepresentation
bin100101100010101111010101…
…0101000110001000111110001
31121022020200101102020201002000
41023011132222220301013301
5321240442031401114413
63130201323534444213
7126362221402031253
oct11305365250610761
91538220342221060
10330230013301233
1196248842480161
1231054957363669
1311235730c04676
145b79309db1cd3
15282a091962073
hex12c57aaa311f1

330230013301233 has 64 divisors (see below), whose sum is σ = 521223255060480. Its totient is φ = 206203227842304.

The previous prime is 330230013301231. The next prime is 330230013301319. The reversal of 330230013301233 is 332103310032033.

330230013301233 is a `hidden beast` number, since 3 + 3 + 0 + 2 + 300 + 1 + 330 + 1 + 23 + 3 = 666.

It is not a de Polignac number, because 330230013301233 - 21 = 330230013301231 is a prime.

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 = 330230013301197 and 330230013301206.

It is not an unprimeable number, because it can be changed into a prime (330230013301231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22524685 + ... + 34173402.

It is an arithmetic number, because the mean of its divisors is an integer number (8144113360320).

Almost surely, 2330230013301233 is an apocalyptic number.

It is an amenable number.

330230013301233 is a deficient number, since it is larger than the sum of its proper divisors (190993241759247).

330230013301233 is a wasteful number, since it uses less digits than its factorization.

330230013301233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56698315 (or 56698309 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 330230013301233 its reverse (332103310032033), we get a palindrome (662333323333266).

The spelling of 330230013301233 in words is "three hundred thirty trillion, two hundred thirty billion, thirteen million, three hundred one thousand, two hundred thirty-three".

Divisors: 1 3 9 23 27 69 83 113 207 249 339 621 747 1017 1909 2241 2599 3051 5727 7797 9379 17181 23391 28137 51543 70173 84411 215717 253233 647151 1941453 5824359 56698087 170094261 510282783 1304056001 1530848349 3912168003 4705941221 6406883831 11736504009 14117823663 19220651493 35209512027 42353470989 57661954479 108236648083 127060412967 147358328113 172985863437 324709944249 442074984339 531771357973 974129832747 1326224953017 1595314073919 2922389498241 3978674859051 4785942221757 12230741233379 14357826665271 36692223700137 110076671100411 330230013301233