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223133101312 = 281179237607
BaseRepresentation
bin1100111111001111000…
…1001110110100000000
3210022221112021222202111
43033303301032310000
512123434033220222
6250301140425104
722056306032032
oct3176361166400
9708845258674
10223133101312
11866a2900650
12372b29a8194
131806cb415c4
14ab2a539c52
155c0e2c6777
hex33f3c4ed00

223133101312 has 36 divisors (see below), whose sum is σ = 485885012256. Its totient is φ = 101424135680.

The previous prime is 223133101291. The next prime is 223133101319. The reversal of 223133101312 is 213101331322.

223133101312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231331013123 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223133101319) 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 3 ways as a sum of consecutive naturals, for example, 39615988 + ... + 39621619.

It is an arithmetic number, because the mean of its divisors is an integer number (13496805896).

Almost surely, 2223133101312 is an apocalyptic number.

223133101312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

223133101312 is an abundant number, since it is smaller than the sum of its proper divisors (262751910944).

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

223133101312 is an equidigital number, since it uses as much as digits as its factorization.

223133101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79237634 (or 79237620 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 223133101312 its reverse (213101331322), we get a palindrome (436234432634).

The spelling of 223133101312 in words is "two hundred twenty-three billion, one hundred thirty-three million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 79237607 158475214 316950428 633900856 871613677 1267801712 1743227354 2535603424 3486454708 5071206848 6972909416 10142413696 13945818832 20284827392 27891637664 55783275328 111566550656 223133101312