Search a number
-
+
101212111102002 = 233135912323123001
BaseRepresentation
bin10111000000110101000111…
…111011011110000000110010
3111021100210011001012100220120
4113000311013323132000302
5101231224400420231002
6555132111342151110
730214222315413465
oct2700650773360062
9437323131170816
10101212111102002
112a2818a713947a
12b427703282496
1344623518c52a4
141adc9999d92dc
15ba7b5c874cbc
hex5c0d47ede032

101212111102002 has 64 divisors (see below), whose sum is σ = 209554787819520. Its totient is φ = 32555216880000.

The previous prime is 101212111101979. The next prime is 101212111102027. The reversal of 101212111102002 is 200201111212101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 822794502 + ... + 822917502.

It is an arithmetic number, because the mean of its divisors is an integer number (3274293559680).

Almost surely, 2101212111102002 is an apocalyptic number.

101212111102002 is an abundant number, since it is smaller than the sum of its proper divisors (108342676717518).

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

101212111102002 is a wasteful number, since it uses less digits than its factorization.

101212111102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135719.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101212111102002 its reverse (200201111212101), we get a palindrome (301413222314103).

The spelling of 101212111102002 in words is "one hundred one trillion, two hundred twelve billion, one hundred eleven million, one hundred two thousand, two".

Divisors: 1 2 3 6 31 62 93 186 359 718 1077 2154 11129 12323 22258 24646 33387 36969 66774 73938 123001 246002 369003 382013 738006 764026 1146039 2292078 3813031 4423957 7626062 8847914 11439093 13271871 22878186 26543742 44157359 88314718 132472077 137142667 264944154 274285334 411428001 822856002 1368878129 1515741323 2737756258 3031482646 4106634387 4547223969 8213268774 9094447938 46987981013 93975962026 140963943039 281927886078 544151134957 1088302269914 1632453404871 3264906809742 16868685183667 33737370367334 50606055551001 101212111102002