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322243121040030 = 23352499234775443
BaseRepresentation
bin100100101000101000001001…
…0110000101100101010011110
31120020222010211011101102112000
41021101100102300230222132
5314214112402441240110
63101204240211023130
7124606203640662651
oct11121202260545236
91506863734342460
10322243121040030
11937495a3a6a103
1230184a6129aaa6
1310aa651bb05288
145980916505898
15273c43a6311c0
hex1251412c2ca9e

322243121040030 has 64 divisors (see below), whose sum is σ = 859318607704320. Its totient is φ = 85931137117728.

The previous prime is 322243121040019. The next prime is 322243121040047. The reversal of 322243121040030 is 30040121342223.

322243121040030 is a `hidden beast` number, since 3 + 2 + 2 + 2 + 43 + 1 + 210 + 400 + 3 + 0 = 666.

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 = 322243121039976 and 322243121040003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65091489 + ... + 69866931.

It is an arithmetic number, because the mean of its divisors is an integer number (13426853245380).

Almost surely, 2322243121040030 is an apocalyptic number.

322243121040030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

322243121040030 is an abundant number, since it is smaller than the sum of its proper divisors (537075486664290).

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

322243121040030 is a wasteful number, since it uses less digits than its factorization.

322243121040030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5025382 (or 5025376 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 322243121040030 its reverse (30040121342223), we get a palindrome (352283242382253).

The spelling of 322243121040030 in words is "three hundred twenty-two trillion, two hundred forty-three billion, one hundred twenty-one million, forty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 249923 499846 749769 1249615 1499538 2249307 2499230 3748845 4498614 4775443 6747921 7497690 9550886 11246535 13495842 14326329 22493070 23877215 28652658 33739605 42978987 47754430 67479210 71631645 85957974 128936961 143263290 214894935 257873922 429789870 644684805 1289369610 1193493040889 2386986081778 3580479122667 5967465204445 7160958245334 10741437368001 11934930408890 17902395613335 21482874736002 32224312104003 35804791226670 53707186840005 64448624208006 107414373680010 161121560520015 322243121040030