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23300103222 = 23311106336901
BaseRepresentation
bin10101101100110010…
…110101110000110110
32020010211020212211000
4111230302311300312
5340204311300342
614412014024130
71453253416044
oct255462656066
966124225730
1023300103222
119977334460
1246231a8046
1322742c4c36
1411b06cb394
1591583e44c
hex56ccb5c36

23300103222 has 64 divisors (see below), whose sum is σ = 56539768320. Its totient is φ = 7053804000.

The previous prime is 23300103193. The next prime is 23300103227. The reversal of 23300103222 is 22230100332.

It is a happy number.

23300103222 is a `hidden beast` number, since 2 + 330 + 0 + 10 + 322 + 2 = 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 = 23300103195 and 23300103204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23300103227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612972 + ... + 649872.

It is an arithmetic number, because the mean of its divisors is an integer number (883433880).

Almost surely, 223300103222 is an apocalyptic number.

23300103222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23300103222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28269884160).

23300103222 is an abundant number, since it is smaller than the sum of its proper divisors (33239665098).

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

23300103222 is a wasteful number, since it uses less digits than its factorization.

23300103222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37986 (or 37980 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23300103222 its reverse (22230100332), we get a palindrome (45530203554).

The spelling of 23300103222 in words is "twenty-three billion, three hundred million, one hundred three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 1063 2126 3189 6378 9567 11693 19134 23386 28701 35079 36901 57402 70158 73802 105237 110703 210474 221406 315711 332109 405911 631422 664218 811822 996327 1217733 1992654 2435466 3653199 7306398 10959597 21919194 39225763 78451526 117677289 235354578 353031867 431483393 706063734 862966786 1059095601 1294450179 2118191202 2588900358 3883350537 7766701074 11650051611 23300103222