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210332020233012 = 2231451190122672803
BaseRepresentation
bin101111110100101110111101…
…010110011101001100110100
31000120201112201010111201012220
4233310232331112131030310
5210032034434134424022
62023201110212242340
762205662352254466
oct5764567526351464
91016645633451186
10210332020233012
1161022344093657
121b70b9080103b0
1390492bc01a932
1439d21a4744136
15194b34282785c
hexbf4bbd59d334

210332020233012 has 96 divisors (see below), whose sum is σ = 491763419288064. Its totient is φ = 69969638640000.

The previous prime is 210332020233011. The next prime is 210332020233053.

210332020233012 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210332020233011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75038179203 + ... + 75038182005.

It is an arithmetic number, because the mean of its divisors is an integer number (5122535617584).

Almost surely, 2210332020233012 is an apocalyptic number.

It is an amenable number.

210332020233012 is an abundant number, since it is smaller than the sum of its proper divisors (281431399055052).

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

210332020233012 is a wasteful number, since it uses less digits than its factorization.

210332020233012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8429 (or 8427 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The spelling of 210332020233012 in words is "two hundred ten trillion, three hundred thirty-two billion, twenty million, two hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 12 1451 1901 2267 2803 2902 3802 4353 4534 5606 5703 5804 6801 7604 8409 8706 9068 11212 11406 13602 16818 17412 22812 27204 33636 2758351 3289417 4067153 4309567 5328503 5516702 6354401 6578834 8134306 8275053 8619134 9868251 10657006 11033404 12201459 12708802 12928701 13157668 15985509 16268612 16550106 17238268 19063203 19736502 21314012 24402918 25417604 25857402 31971018 33100212 38126406 39473004 48805836 51714804 63942036 76252812 6253181717 7731657853 9220235851 12079716301 12506363434 15463315706 18440471702 18759545151 23194973559 24159432602 25012726868 27660707553 30926631412 36239148903 36880943404 37519090302 46389947118 48318865204 55321415106 72478297806 75038180604 92779894236 110642830212 144956595612 17527668352751 35055336705502 52583005058253 70110673411004 105166010116506 210332020233012