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212701923291 = 311132917096851
BaseRepresentation
bin1100011000011000000…
…1011100011111011011
3202100000120012020120210
43012012001130133123
511441103143021131
6241414112222203
721236644342224
oct3060601343733
9670016166523
10212701923291
118222a766170
123528153a963
1317099a17610
14a41b01824b
1557ed647146
hex318605c7db

212701923291 has 32 divisors (see below), whose sum is σ = 344672536320. Its totient is φ = 114890832000.

The previous prime is 212701923251. The next prime is 212701923299. The reversal of 212701923291 is 192329107212.

It is a happy number.

212701923291 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212701923291 - 27 = 212701923163 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (212701923299) 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, 8535985 + ... + 8560866.

It is an arithmetic number, because the mean of its divisors is an integer number (10771016760).

Almost surely, 2212701923291 is an apocalyptic number.

212701923291 is a deficient number, since it is larger than the sum of its proper divisors (131970613029).

212701923291 is a wasteful number, since it uses less digits than its factorization.

212701923291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17096907.

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 212701923291 in words is "two hundred twelve billion, seven hundred one million, nine hundred twenty-three thousand, two hundred ninety-one".

Divisors: 1 3 11 13 29 33 39 87 143 319 377 429 957 1131 4147 12441 17096851 51290553 188065361 222259063 495808679 564196083 666777189 1487426037 2444849693 5453895469 6445512827 7334549079 16361686407 19336538481 70900641097 212701923291