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212233133112 = 233711138834213
BaseRepresentation
bin1100010110101000010…
…1001001110000111000
3202021210220002020100120
43011222011021300320
511434123140224422
6241255404333240
721222222603060
oct3055205116070
9667726066316
10212233133112
118200a086170
1235170544220
131702386c090
14a3b4a683a0
1557c23e645c
hex316a149c38

212233133112 has 128 divisors (see below), whose sum is σ = 712391016960. Its totient is φ = 50885061120.

The previous prime is 212233133107. The next prime is 212233133117. The reversal of 212233133112 is 211331332212.

It is an interprime number because it is at equal distance from previous prime (212233133107) and next prime (212233133117).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212233133117) 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, 4393083 + ... + 4441130.

It is an arithmetic number, because the mean of its divisors is an integer number (5565554820).

Almost surely, 2212233133112 is an apocalyptic number.

212233133112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212233133112 is an abundant number, since it is smaller than the sum of its proper divisors (500157883848).

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

212233133112 is a wasteful number, since it uses less digits than its factorization.

212233133112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8834253 (or 8834249 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 212233133112 its reverse (211331332212), we get a palindrome (423564465324).

Subtracting from 212233133112 its reverse (211331332212), we obtain a square (901800900 = 300302).

The spelling of 212233133112 in words is "two hundred twelve billion, two hundred thirty-three million, one hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2184 3003 3432 4004 6006 8008 12012 24024 8834213 17668426 26502639 35336852 53005278 61839491 70673704 97176343 106010556 114844769 123678982 185518473 194352686 212021112 229689538 247357964 291529029 344534307 371036946 388705372 459379076 494715928 583058058 680234401 689068614 742073892 777410744 803913383 918758152 1166116116 1263292459 1360468802 1378137228 1484147784 1607826766 2040703203 2332232232 2411740149 2526584918 2720937604 2756274456 3215653532 3789877377 4081406406 4823480298 5053169836 5441875208 6431307064 7579754754 8162812812 8843047213 9646960596 10106339672 15159509508 16325625624 17686094426 19293921192 26529141639 30319019016 35372188852 53058283278 70744377704 106116566556 212233133112