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320222220000132 = 22356596493772617
BaseRepresentation
bin100100011001111011000101…
…1101011000001101110000100
31112222210221112002112201221010
41020303312023223001232010
5313433010101310001012
63053020020152122220
7124310202062401332
oct11063661353015604
91488727462481833
10320222220000132
119303a53201772a
122bab9265696370
131098aa972c7498
145910ba3c22b52
152704aac752c3c
hex1233d8bac1b84

320222220000132 has 48 divisors (see below), whose sum is σ = 747339014560320. Its totient is φ = 106718764780032.

The previous prime is 320222220000049. The next prime is 320222220000139. The reversal of 320222220000132 is 231000022222023.

It is a junction number, because it is equal to n+sod(n) for n = 320222220000099 and 320222220000108.

It is not an unprimeable number, because it can be changed into a prime (320222220000139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4409705488 + ... + 4409778104.

It is an arithmetic number, because the mean of its divisors is an integer number (15569562803340).

Almost surely, 2320222220000132 is an apocalyptic number.

It is an amenable number.

320222220000132 is an abundant number, since it is smaller than the sum of its proper divisors (427116794560188).

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

320222220000132 is a wasteful number, since it uses less digits than its factorization.

320222220000132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143220 (or 143218 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 320222220000132 its reverse (231000022222023), we get a palindrome (551222242222155).

The spelling of 320222220000132 in words is "three hundred twenty trillion, two hundred twenty-two billion, two hundred twenty million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 5659 11318 16977 22636 33954 64937 67908 72617 129874 145234 194811 217851 259748 290468 389622 435702 779244 871404 367478483 410939603 734956966 821879206 1102435449 1232818809 1469913932 1643758412 2204870898 2465637618 4409741796 4715530129 4931275236 9431060258 14146590387 18862120516 28293180774 56586361548 26685185000011 53370370000022 80055555000033 106740740000044 160111110000066 320222220000132