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10131123222 = 2331121180833
BaseRepresentation
bin10010110111101110…
…01010110000010110
3222011001111101101000
421123313022300112
5131222031420342
64353145044130
7506026061253
oct113367126026
928131441330
1010131123222
114329833910
121b68a86646
13c55c0a28c
146c173642a
153e465e44c
hex25bdcac16

10131123222 has 64 divisors (see below), whose sum is σ = 24677003520. Its totient is φ = 3055449600.

The previous prime is 10131123161. The next prime is 10131123229. The reversal of 10131123222 is 22232113101.

10131123222 is a `hidden beast` number, since 101 + 311 + 232 + 22 = 666.

It is a super-2 number, since 2×101311232222 (a number of 21 digits) contains 22 as substring.

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 = 10131123195 and 10131123204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131123229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84918 + ... + 165750.

It is an arithmetic number, because the mean of its divisors is an integer number (385578180).

Almost surely, 210131123222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131123222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12338501760).

10131123222 is an abundant number, since it is smaller than the sum of its proper divisors (14545880298).

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

10131123222 is a wasteful number, since it uses less digits than its factorization.

10131123222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81066 (or 81060 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10131123222 its reverse (22232113101), we get a palindrome (32363236323).

The spelling of 10131123222 in words is "ten billion, one hundred thirty-one million, one hundred twenty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 211 297 422 594 633 1266 1899 2321 3798 4642 5697 6963 11394 13926 20889 41778 62667 80833 125334 161666 242499 484998 727497 889163 1454994 1778326 2182491 2667489 4364982 5334978 8002467 16004934 17055763 24007401 34111526 48014802 51167289 102334578 153501867 187613393 307003734 375226786 460505601 562840179 921011202 1125680358 1688520537 3377041074 5065561611 10131123222