Search a number
-
+
10131233022 = 23273137167337
BaseRepresentation
bin10010110111101111…
…00101100011111110
3222011001200221222200
421123313211203332
5131222043424042
64353151252330
7506030026341
oct113367454376
928131627880
1010131233022
1143298a9359
121b68b1a0a6
13c55c48251
146c1764458
153e4681c4c
hex25bde58fe

10131233022 has 96 divisors (see below), whose sum is σ = 22615250112. Its totient is φ = 3276951552.

The previous prime is 10131233009. The next prime is 10131233023. The reversal of 10131233022 is 22033213101.

10131233022 is a `hidden beast` number, since 1 + 0 + 1 + 312 + 330 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10131232986 and 10131233004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131233023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30062838 + ... + 30063174.

It is an arithmetic number, because the mean of its divisors is an integer number (235575522).

Almost surely, 210131233022 is an apocalyptic number.

10131233022 is an abundant number, since it is smaller than the sum of its proper divisors (12484017090).

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

10131233022 is a wasteful number, since it uses less digits than its factorization.

10131233022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10131233022 its reverse (22033213101), we get a palindrome (32164446123).

The spelling of 10131233022 in words is "ten billion, one hundred thirty-one million, two hundred thirty-three thousand, twenty-two".

Divisors: 1 2 3 6 9 18 73 137 146 167 219 274 334 337 411 438 501 657 674 822 1002 1011 1233 1314 1503 2022 2466 3006 3033 6066 10001 12191 20002 22879 24382 24601 30003 36573 45758 46169 49202 56279 60006 68637 73146 73803 90009 92338 109719 112558 137274 138507 147606 168837 180018 205911 219438 221409 277014 337674 411822 415521 442818 506511 831042 1013022 1670167 3340334 3370337 4108367 5010501 6740674 7710223 8216734 10021002 10111011 12325101 15031503 15420446 20222022 23130669 24650202 30063006 30333033 36975303 46261338 60666066 69392007 73950606 138784014 562846279 1125692558 1688538837 3377077674 5065616511 10131233022