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10223330112 = 26341972093
BaseRepresentation
bin10011000010101101…
…11010001101000000
3222101110222222110000
421201112322031000
5131414133030422
64410241240000
7511225605102
oct114126721500
928343888400
1010223330112
114376892256
121b93933000
13c6c052878
146cda99572
153ec7c4cac
hex2615ba340

10223330112 has 70 divisors (see below), whose sum is σ = 30305168498. Its totient is φ = 3407774976.

The previous prime is 10223330107. The next prime is 10223330119. The reversal of 10223330112 is 21103332201.

10223330112 is a `hidden beast` number, since 1 + 0 + 223 + 330 + 112 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10131630336 + 91699776 = 100656^2 + 9576^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223330119) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 980863 + ... + 991230.

Almost surely, 210223330112 is an apocalyptic number.

10223330112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10223330112 is an abundant number, since it is smaller than the sum of its proper divisors (20081838386).

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

10223330112 is an equidigital number, since it uses as much as digits as its factorization.

10223330112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972117 (or 1972098 counting only the distinct ones).

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

Adding to 10223330112 its reverse (21103332201), we get a palindrome (31326662313).

The spelling of 10223330112 in words is "ten billion, two hundred twenty-three million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 1972093 3944186 5916279 7888372 11832558 15776744 17748837 23665116 31553488 35497674 47330232 53246511 63106976 70995348 94660464 106493022 126213952 141990696 159739533 189320928 212986044 283981392 319479066 378641856 425972088 567962784 638958132 851944176 1135925568 1277916264 1703888352 2555832528 3407776704 5111665056 10223330112