Search a number
-
+
332122132330004 = 221761125896360157
BaseRepresentation
bin100101110000100000011010…
…1101110000011011000010100
31121112221120021110000101200002
41023201000311232003120110
5322012442111334030004
63134210445024110432
7126646014023305322
oct11341006556033024
91545846243011602
10332122132330004
1196908229326585
12312bb5b2165418
1311341ca0c90003
145c02b22c7cd12
15285e3d38bc61e
hex12e1035b83614

332122132330004 has 48 divisors (see below), whose sum is σ = 625541128586640. Its totient is φ = 153718355957760.

The previous prime is 332122132330003. The next prime is 332122132330211. The reversal of 332122132330004 is 400033231221233.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 14993777952400 + 317128354377604 = 3872180^2 + 17808098^2 .

It is a super-2 number, since 2×3321221323300042 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332122132330003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49039094 + ... + 55399250.

It is an arithmetic number, because the mean of its divisors is an integer number (13032106845555).

Almost surely, 2332122132330004 is an apocalyptic number.

332122132330004 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

332122132330004 is a deficient number, since it is larger than the sum of its proper divisors (293418996256636).

332122132330004 is a wasteful number, since it uses less digits than its factorization.

332122132330004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6372828 (or 6372826 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 332122132330004 its reverse (400033231221233), we get a palindrome (732155363551237).

The spelling of 332122132330004 in words is "three hundred thirty-two trillion, one hundred twenty-two billion, one hundred thirty-two million, three hundred thirty thousand, four".

Divisors: 1 2 4 17 34 61 68 122 244 1037 2074 4148 12589 25178 50356 214013 428026 767929 856052 1535858 3071716 6360157 12720314 13054793 25440628 26109586 52219172 108122669 216245338 387969577 432490676 775939154 1551878308 6595482809 13190965618 26381931236 80068016473 160136032946 320272065892 1361156280041 2722312560082 4884149004853 5444625120164 9768298009706 19536596019412 83030533082501 166061066165002 332122132330004