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212202212001 = 313107331315349
BaseRepresentation
bin1100010110100000111…
…1001100101010100001
3202021201201220021120020
43011220033030222201
511434042231241001
6241252341504053
721221366020053
oct3055017145241
9667651807506
10212202212001
1181aa368672a
1235162112029
131701a333a70
14a3b08d98d3
1557be839736
hex31683ccaa1

212202212001 has 32 divisors (see below), whose sum is σ = 307661155200. Its totient is φ = 129318073344.

The previous prime is 212202211981. The next prime is 212202212029. The reversal of 212202212001 is 100212202212.

It is not a de Polignac number, because 212202212001 - 218 = 212201949857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212202212081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13817475 + ... + 13832823.

It is an arithmetic number, because the mean of its divisors is an integer number (9614411100).

Almost surely, 2212202212001 is an apocalyptic number.

It is an amenable number.

212202212001 is a deficient number, since it is larger than the sum of its proper divisors (95458943199).

212202212001 is a wasteful number, since it uses less digits than its factorization.

212202212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18785.

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

Adding to 212202212001 its reverse (100212202212), we get a palindrome (312414414213).

The spelling of 212202212001 in words is "two hundred twelve billion, two hundred two million, two hundred twelve thousand, one".

Divisors: 1 3 13 39 107 321 1391 3313 4173 9939 15349 43069 46047 129207 199537 354491 598611 1063473 1642343 4608383 4927029 13825149 21350459 50851237 64051377 152553711 661066081 1983198243 5441082359 16323247077 70734070667 212202212001