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330101331132330 = 23253667792568137
BaseRepresentation
bin100101100001110011011010…
…0100101001111111110101010
31121021210101020100001012212100
41023003212310211033332222
5321231340011232213310
63130022242533154230
7126350014466451132
oct11303466445177652
91537711210035770
10330101331132330
11961a920877803a
1231033a23a8b976
131122656406bc64
145b72dbd949ac2
152826a5e661ec0
hex12c39b494ffaa

330101331132330 has 24 divisors (see below), whose sum is σ = 858263460944292. Its totient is φ = 88027021635264.

The previous prime is 330101331132329. The next prime is 330101331132379. The reversal of 330101331132330 is 33231133101033.

330101331132330 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 0 + 1 + 331 + 1 + 323 + 3 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 328293196412769 + 1808134719561 = 18118863^2 + 1344669^2 .

It is a junction number, because it is equal to n+sod(n) for n = 330101331132294 and 330101331132303.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1833896283979 + ... + 1833896284158.

Almost surely, 2330101331132330 is an apocalyptic number.

330101331132330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

330101331132330 is an abundant number, since it is smaller than the sum of its proper divisors (528162129811962).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

330101331132330 is a wasteful number, since it uses less digits than its factorization.

330101331132330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667792568150 (or 3667792568147 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 330101331132330 its reverse (33231133101033), we get a palindrome (363332464233363).

The spelling of 330101331132330 in words is "three hundred thirty trillion, one hundred one billion, three hundred thirty-one million, one hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 3667792568137 7335585136274 11003377704411 18338962840685 22006755408822 33010133113233 36677925681370 55016888522055 66020266226466 110033777044110 165050665566165 330101331132330