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330231200100021 = 321122771094738657
BaseRepresentation
bin100101100010101111111000…
…1011000000010111010110101
31121022020210110010102022221200
41023011133301120002322311
5321241001444211200041
63130202041412003113
7126362262662455113
oct11305376130027265
91538223403368850
10330231200100021
11962492a138a700
1231055028900499
131123588ca5617c
145b793bd866ab3
15282a110c411b6
hex12c57f1602eb5

330231200100021 has 36 divisors (see below), whose sum is σ = 526199272831596. Its totient is φ = 199417593576960.

The previous prime is 330231200099959. The next prime is 330231200100047. The reversal of 330231200100021 is 120001002132033.

330231200100021 is a `hidden beast` number, since 330 + 2 + 31 + 200 + 100 + 0 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32538068766225 + 297693131333796 = 5704215^2 + 17253786^2 .

It is not a de Polignac number, because 330231200100021 - 221 = 330231198002869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 330231200099967 and 330231200100003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330231200100071) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 547067676 + ... + 547670981.

Almost surely, 2330231200100021 is an apocalyptic number.

It is an amenable number.

330231200100021 is a deficient number, since it is larger than the sum of its proper divisors (195968072731575).

330231200100021 is a wasteful number, since it uses less digits than its factorization.

330231200100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094738962 (or 1094738948 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 330231200100021 its reverse (120001002132033), we get a palindrome (450232202232054).

The spelling of 330231200100021 in words is "three hundred thirty trillion, two hundred thirty-one billion, two hundred million, one hundred thousand, twenty-one".

Divisors: 1 3 9 11 33 99 121 277 363 831 1089 2493 3047 9141 27423 33517 100551 301653 1094738657 3284215971 9852647913 12042125227 36126375681 108379127043 132463377497 303242607989 397390132491 909727823967 1192170397473 2729183471901 3335668687879 10007006063637 30021018190911 36692355566669 110077066700007 330231200100021