Search a number
-
+
102212202002211 = 3372095332581003
BaseRepresentation
bin10111001111011000100001…
…111111011111011100100011
3111101220101120002200000001000
4113033120201333133130203
5101344121042203032321
61001215345401043043
730346405435664640
oct2717304177373443
9441811502600030
10102212202002211
112a627a51400004
12b5694ab786483
134505752969722
141b35150144dc7
15bc3b92094826
hex5cf621fdf723

102212202002211 has 32 divisors (see below), whose sum is σ = 173058589483520. Its totient is φ = 58406671194912.

The previous prime is 102212202002173. The next prime is 102212202002221. The reversal of 102212202002211 is 112200202212201.

It is a happy number.

102212202002211 is a `hidden beast` number, since 1 + 0 + 2 + 21 + 220 + 200 + 221 + 1 = 666.

It is not a de Polignac number, because 102212202002211 - 29 = 102212202001699 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102212202002221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38311236 + ... + 40892238.

It is an arithmetic number, because the mean of its divisors is an integer number (5408080921360).

Almost surely, 2102212202002211 is an apocalyptic number.

102212202002211 is a deficient number, since it is larger than the sum of its proper divisors (70846387481309).

102212202002211 is a wasteful number, since it uses less digits than its factorization.

102212202002211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790552 (or 2790546 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102212202002211 its reverse (112200202212201), we get a palindrome (214412404214412).

The spelling of 102212202002211 in words is "one hundred two trillion, two hundred twelve billion, two hundred two million, two thousand, two hundred eleven".

Divisors: 1 3 7 9 21 27 63 189 209533 628599 1466731 1885797 2581003 4400193 5657391 7743009 13200579 18067021 23229027 39601737 54201063 69687081 162603189 487809567 540805301599 1622415904797 3785637111193 4867247714391 11356911333579 14601743143173 34070734000737 102212202002211