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214201402212 = 22374233110427
BaseRepresentation
bin1100011101111101100…
…1100000001101100100
3202110220001201122222010
43013133121200031210
512002141024332322
6242222555234220
721322052610000
oct3073731401544
9673801648863
10214201402212
118292a11a946
123561b748970
1317278586655
14a520223700
15588a0dc20c
hex31df660364

214201402212 has 240 divisors, whose sum is σ = 628106637312. Its totient is φ = 56645709120.

The previous prime is 214201402201. The next prime is 214201402229. The reversal of 214201402212 is 212204102412.

214201402212 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 (21).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 20537743 + ... + 20548169.

Almost surely, 2214201402212 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 214201402212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314053318656).

214201402212 is an abundant number, since it is smaller than the sum of its proper divisors (413905235100).

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

214201402212 is a wasteful number, since it uses less digits than its factorization.

214201402212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10516 (or 10493 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 214201402212 its reverse (212204102412), we get a palindrome (426405504624).

The spelling of 214201402212 in words is "two hundred fourteen billion, two hundred one million, four hundred two thousand, two hundred twelve".