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213203211312 = 2437131916715383
BaseRepresentation
bin1100011010001111100…
…1101101010000110000
3202101022111110022110210
43012203321231100300
511443120010230222
6241535540424120
721255242252310
oct3064371552060
9671274408423
10213203211312
1182467722293
12353a13a8040
1317149830a50
14a467827440
15582c666d0c
hex31a3e6d430

213203211312 has 320 divisors, whose sum is σ = 717874053120. Its totient is φ = 52947551232.

The previous prime is 213203211181. The next prime is 213203211323. The reversal of 213203211312 is 213112302312.

It is a super-2 number, since 2×2132032113122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13851973 + ... + 13867355.

It is an arithmetic number, because the mean of its divisors is an integer number (2243356416).

Almost surely, 2213203211312 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 213203211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358937026560).

213203211312 is an abundant number, since it is smaller than the sum of its proper divisors (504670841808).

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

213203211312 is a wasteful number, since it uses less digits than its factorization.

213203211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15600 (or 15594 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213203211312 its reverse (213112302312), we get a palindrome (426315513624).

The spelling of 213203211312 in words is "two hundred thirteen billion, two hundred three million, two hundred eleven thousand, three hundred twelve".