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312220230021 = 347278664709
BaseRepresentation
bin1001000101100011100…
…01101010000110000101
31002211220011110000220000
410202301301222012011
520103411334330041
6355233151031513
731362052111200
oct4426161520605
91084804400800
10312220230021
111104591a8a57
1250615b0b599
13235997b174b
141117c0ca937
1581c5432bb6
hex48b1c6a185

312220230021 has 30 divisors (see below), whose sum is σ = 542550504870. Its totient is φ = 178411557744.

The previous prime is 312220230017. The next prime is 312220230037. The reversal of 312220230021 is 120032022213.

It can be written as a sum of positive squares in only one way, i.e., 238080564225 + 74139665796 = 487935^2 + 272286^2 .

It is not a de Polignac number, because 312220230021 - 22 = 312220230017 is a prime.

It is a super-2 number, since 2×3122202300212 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312220229976 and 312220230003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312220231021) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 39328386 + ... + 39336323.

It is an arithmetic number, because the mean of its divisors is an integer number (18085016829).

Almost surely, 2312220230021 is an apocalyptic number.

It is an amenable number.

312220230021 is a deficient number, since it is larger than the sum of its proper divisors (230330274849).

312220230021 is an equidigital number, since it uses as much as digits as its factorization.

312220230021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78664735 (or 78664719 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 312220230021 its reverse (120032022213), we get a palindrome (432252252234).

The spelling of 312220230021 in words is "three hundred twelve billion, two hundred twenty million, two hundred thirty thousand, twenty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 78664709 235994127 550652963 707982381 1651958889 2123947143 3854570741 4955876667 6371841429 11563712223 14867630001 34691136669 44602890003 104073410007 312220230021