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212202112002 = 235319117531993
BaseRepresentation
bin1100010110100000111…
…0110100010000000010
3202021201201201012101120
43011220032310100002
511434042220041002
6241252335413110
721221365122366
oct3055016642002
9667651635346
10212202112002
1181aa3618591
1235162084196
131701a2ca3aa
14a3b08b12a6
1557be819cbc
hex31683b4402

212202112002 has 64 divisors (see below), whose sum is σ = 435141974016. Its totient is φ = 68962083840.

The previous prime is 212202111959. The next prime is 212202112007. The reversal of 212202112002 is 200211202212.

212202112002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212202112007) 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, 106472718 + ... + 106474710.

It is an arithmetic number, because the mean of its divisors is an integer number (6799093344).

Almost surely, 2212202112002 is an apocalyptic number.

212202112002 is an abundant number, since it is smaller than the sum of its proper divisors (222939862014).

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

212202112002 is a wasteful number, since it uses less digits than its factorization.

212202112002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3995.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212202112002 its reverse (200211202212), we get a palindrome (412413314214).

The spelling of 212202112002 in words is "two hundred twelve billion, two hundred two million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 53 106 159 191 318 382 573 1146 1753 1993 3506 3986 5259 5979 10123 10518 11958 20246 30369 60738 92909 105629 185818 211258 278727 316887 334823 380663 557454 633774 669646 761326 1004469 1141989 2008938 2283978 3493729 6987458 10481187 17745619 20175139 20962374 35491238 40350278 53236857 60525417 106473714 121050834 185167637 370335274 555502911 667302239 1111005822 1334604478 2001906717 4003813434 35367018667 70734037334 106101056001 212202112002