Search a number
-
+
10320023322232 = 23132310939581569
BaseRepresentation
bin1001011000101101000101…
…0100101111111001111000
31100112120210011120102220121
42112023101110233321320
52323040401432302412
633540541523303024
72113411540610461
oct226132124577170
940476704512817
1010320023322232
113319774139708
1211a810ab1aa74
1359b2354393a0
142796c56a7d68
1512d6aa428107
hex962d152fe78

10320023322232 has 64 divisors (see below), whose sum is σ = 21944022408000. Its totient is φ = 4514198667264.

The previous prime is 10320023322197. The next prime is 10320023322239. The reversal of 10320023322232 is 23222332002301.

It is a junction number, because it is equal to n+sod(n) for n = 10320023322197 and 10320023322206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10320023322239) 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, 19530057 + ... + 20051512.

It is an arithmetic number, because the mean of its divisors is an integer number (342875350125).

Almost surely, 210320023322232 is an apocalyptic number.

It is an amenable number.

10320023322232 is an abundant number, since it is smaller than the sum of its proper divisors (11623999085768).

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

10320023322232 is a wasteful number, since it uses less digits than its factorization.

10320023322232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39581720 (or 39581716 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 10320023322232 its reverse (23222332002301), we get a palindrome (33542355324533).

The spelling of 10320023322232 in words is "ten trillion, three hundred twenty billion, twenty-three million, three hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 109 184 218 299 436 598 872 1196 1417 2392 2507 2834 5014 5668 10028 11336 20056 32591 65182 130364 260728 39581569 79163138 158326276 316652552 514560397 910376087 1029120794 1820752174 2058241588 3641504348 4116483176 4314391021 7283008696 8628782042 11834889131 17257564084 23669778262 34515128168 47339556524 56087083273 94679113048 99230993483 112174166546 198461986966 224348333092 396923973932 448696666184 793847947864 1290002915279 2580005830558 5160011661116 10320023322232