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212231303132212 = 2271361891011318117
BaseRepresentation
bin110000010000010111110011…
…011011101111010000110100
31000211110010002102100201120101
4300100113303123233100310
5210304144202100212322
62031213414212243444
762463130352450260
oct6020276333572064
91024403072321511
10212231303132212
1161694876839951
121b977a22010584
139156431326570
143a5a09ac270a0
15198095366b327
hexc105f36ef434

212231303132212 has 384 divisors, whose sum is σ = 478160185789440. Its totient is φ = 80219842560000.

The previous prime is 212231303132209. The next prime is 212231303132221.

212231303132212 is nontrivially palindromic in base 10.

212231303132212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26146515978 + ... + 26146524094.

It is an arithmetic number, because the mean of its divisors is an integer number (1245208817160).

Almost surely, 2212231303132212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212231303132212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239080092894720).

212231303132212 is an abundant number, since it is smaller than the sum of its proper divisors (265928882657228).

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

212231303132212 is a wasteful number, since it uses less digits than its factorization.

212231303132212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8523 (or 8521 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 21223130 and 3132212, that added together give a palindrome (24355342).

The spelling of 212231303132212 in words is "two hundred twelve trillion, two hundred thirty-one billion, three hundred three million, one hundred thirty-two thousand, two hundred twelve".