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212132993129 is a prime number
BaseRepresentation
bin1100010110010000011…
…1001001100001101001
3202021112220122121010022
43011210013021201221
511433422021240004
6241241430130225
721216565455551
oct3054407114151
9667486577108
10212132993129
1181a685a9552
1235142ab0975
1317008ba9955
14a3a563c161
1557b87152be
hex31641c9869

212132993129 has 2 divisors, whose sum is σ = 212132993130. Its totient is φ = 212132993128.

The previous prime is 212132993123. The next prime is 212132993167. The reversal of 212132993129 is 921399231212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 139989719104 + 72143274025 = 374152^2 + 268595^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212132993129 is a prime.

It is a super-2 number, since 2×2121329931292 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212132993129.

It is not a weakly prime, because it can be changed into another prime (212132993123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106066496564 + 106066496565.

It is an arithmetic number, because the mean of its divisors is an integer number (106066496565).

Almost surely, 2212132993129 is an apocalyptic number.

It is an amenable number.

212132993129 is a deficient number, since it is larger than the sum of its proper divisors (1).

212132993129 is an equidigital number, since it uses as much as digits as its factorization.

212132993129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 104976, while the sum is 44.

The spelling of 212132993129 in words is "two hundred twelve billion, one hundred thirty-two million, nine hundred ninety-three thousand, one hundred twenty-nine".