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212020032312 = 233211224336551
BaseRepresentation
bin1100010101110101100…
…0001111001100111000
3202021021001002121000100
43011131120033030320
511433204112013222
6241222313035400
721214024352664
oct3053530171470
9667231077010
10212020032312
1181a0a865400
12351110b5b60
1316cbb678a2a
14a3946358a4
1557ad8504ac
hex315d60f338

212020032312 has 72 divisors (see below), whose sum is σ = 631168476120. Its totient is φ = 64248492000.

The previous prime is 212020032307. The next prime is 212020032317. The reversal of 212020032312 is 213230020212.

212020032312 is a `hidden beast` number, since 2 + 120 + 200 + 32 + 312 = 666.

212020032312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212020032307) and next prime (212020032317).

It is a tau number, because it is divible by the number of its divisors (72).

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 (212020032317) 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 17 ways as a sum of consecutive naturals, for example, 12159564 + ... + 12176987.

It is an arithmetic number, because the mean of its divisors is an integer number (8766228835).

Almost surely, 2212020032312 is an apocalyptic number.

212020032312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212020032312 is an abundant number, since it is smaller than the sum of its proper divisors (419148443808).

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

212020032312 is a wasteful number, since it uses less digits than its factorization.

212020032312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24336585 (or 24336567 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212020032312 its reverse (213230020212), we get a palindrome (425250052524).

It can be divided in two parts, 2120200 and 32312, that added together give a palindrome (2152512).

The spelling of 212020032312 in words is "two hundred twelve billion, twenty million, thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 24336551 48673102 73009653 97346204 146019306 194692408 219028959 267702061 292038612 438057918 535404122 584077224 803106183 876115836 1070808244 1606212366 1752231672 2141616488 2409318549 2944722671 3212424732 4818637098 5889445342 6424849464 8834168013 9637274196 11778890684 17668336026 19274548392 23557781368 26502504039 35336672052 53005008078 70673344104 106010016156 212020032312