Search a number
-
+
130322021203332 = 22327517150877791
BaseRepresentation
bin11101101000011011110101…
…110001111011110110000100
3122002102122220201201100111100
4131220123311301323312010
5114040143444412001312
61141101035433540100
736310312113603120
oct3550336561736604
9562378821640440
10130322021203332
1138585293532522
1212749345274630
13579441074ab0a
142427895c00580
15100ee951735dc
hex7686f5c7bd84

130322021203332 has 36 divisors (see below), whose sum is σ = 376485839032576. Its totient is φ = 37234863200880.

The previous prime is 130322021203307. The next prime is 130322021203349. The reversal of 130322021203332 is 233302120223031.

130322021203332 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 2 + 202 + 120 + 3 + 332 = 666.

130322021203332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 130322021203296 and 130322021203305.

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, 258575438644 + ... + 258575439147.

Almost surely, 2130322021203332 is an apocalyptic number.

130322021203332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130322021203332 is an abundant number, since it is smaller than the sum of its proper divisors (246163817829244).

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

130322021203332 is a wasteful number, since it uses less digits than its factorization.

130322021203332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517150877808 (or 517150877803 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 130322021203332 its reverse (233302120223031), we get a palindrome (363624141426363).

The spelling of 130322021203332 in words is "one hundred thirty trillion, three hundred twenty-two billion, twenty-one million, two hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 517150877791 1034301755582 1551452633373 2068603511164 3102905266746 3620056144537 4654357900119 6205810533492 7240112289074 9308715800238 10860168433611 14480224578148 18617431600476 21720336867222 32580505300833 43440673734444 65161010601666 130322021203332