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213221213210100 = 22352710737377367
BaseRepresentation
bin110000011110110001101110…
…101011000000010111110100
31000221221202012221210222222110
4300132301232223000113310
5210421404021040210400
62033252250104531020
762624503301334624
oct6036615653002764
91027852187728873
10213221213210100
1161a36677211a37
121bab7848a80a70
1391c889c0ac294
143a91d671c0884
15199b58e1b0e50
hexc1ec6eac05f4

213221213210100 has 36 divisors (see below), whose sum is σ = 616920043555424. Its totient is φ = 56858990189280.

The previous prime is 213221213210077. The next prime is 213221213210189. The reversal of 213221213210100 is 1012312122312.

213221213210100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 355368688384 + ... + 355368688983.

Almost surely, 2213221213210100 is an apocalyptic number.

213221213210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213221213210100 is an abundant number, since it is smaller than the sum of its proper divisors (403698830345324).

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

213221213210100 is a wasteful number, since it uses less digits than its factorization.

213221213210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710737377384 (or 710737377377 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 213221213210100 its reverse (1012312122312), we get a palindrome (214233525332412).

The spelling of 213221213210100 in words is "two hundred thirteen trillion, two hundred twenty-one billion, two hundred thirteen million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 710737377367 1421474754734 2132212132101 2842949509468 3553686886835 4264424264202 7107373773670 8528848528404 10661060660505 14214747547340 17768434434175 21322121321010 35536868868350 42644242642020 53305303302525 71073737736700 106610606605050 213221213210100