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10023003220212 = 22321491868568833
BaseRepresentation
bin1001000111011010100110…
…0010111110100011110100
31022111012010022211220201100
42101312221202332203310
52303204102311021322
633152300515530100
72053065235445253
oct221665142764364
938435108756640
1010023003220212
113214806022914
12115a6375b9930
1357921baa4328
1426918a21879a
15125ac468bdac
hex91da98be8f4

10023003220212 has 36 divisors (see below), whose sum is σ = 25505964584100. Its totient is φ = 3318578245632.

The previous prime is 10023003220211. The next prime is 10023003220249. The reversal of 10023003220212 is 21202230032001.

10023003220212 is a `hidden beast` number, since 1 + 0 + 0 + 230 + 0 + 3 + 220 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 783798584976 + 9239204635236 = 885324^2 + 3039606^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023003220211) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 934279053 + ... + 934289780.

It is an arithmetic number, because the mean of its divisors is an integer number (708499016225).

Almost surely, 210023003220212 is an apocalyptic number.

10023003220212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10023003220212 is an abundant number, since it is smaller than the sum of its proper divisors (15482961363888).

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

10023003220212 is a wasteful number, since it uses less digits than its factorization.

10023003220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868568992 (or 1868568987 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10023003220212 its reverse (21202230032001), we get a palindrome (31225233252213).

The spelling of 10023003220212 in words is "ten trillion, twenty-three billion, three million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 596 894 1341 1788 2682 5364 1868568833 3737137666 5605706499 7474275332 11211412998 16817119497 22422825996 33634238994 67268477988 278416756117 556833512234 835250268351 1113667024468 1670500536702 2505750805053 3341001073404 5011501610106 10023003220212