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212210131133 = 711131091944937
BaseRepresentation
bin1100010110100010110…
…1011010000010111101
3202021202021210121120102
43011220231122002331
511434101243144013
6241253223330445
721221523231650
oct3055055320275
9667667717512
10212210131133
1181aa80a5470
12351648b0a25
131701bb77440
14a3b199b897
1557c03a0d58
hex3168b5a0bd

212210131133 has 32 divisors (see below), whose sum is σ = 287539633920. Its totient is φ = 151238223360.

The previous prime is 212210131123. The next prime is 212210131139. The reversal of 212210131133 is 331131012212.

It is a happy number.

212210131133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212210131133 - 24 = 212210131117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212210131139) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 863360 + ... + 1081577.

It is an arithmetic number, because the mean of its divisors is an integer number (8985613560).

Almost surely, 2212210131133 is an apocalyptic number.

It is an amenable number.

212210131133 is a deficient number, since it is larger than the sum of its proper divisors (75329502787).

212210131133 is a wasteful number, since it uses less digits than its factorization.

212210131133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945077.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 212210131133 its reverse (331131012212), we get a palindrome (543341143345).

It can be divided in two parts, 212210 and 131133, that added together give a palindrome (343343).

The spelling of 212210131133 in words is "two hundred twelve billion, two hundred ten million, one hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 7 11 13 77 91 109 143 763 1001 1199 1417 8393 9919 15587 109109 1944937 13614559 21394307 25284181 149760149 176989267 211998133 278125991 1483986931 1946881937 2331979463 2755975729 16323856241 19291830103 30315733019 212210131133