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10222331020002 = 2322520292253341
BaseRepresentation
bin1001010011000001001001…
…1010001100001011100010
31100012020121211021021212200
42110300102122030023202
52314440313220120002
633424023554234030
72103352615004013
oct224602232141342
940166554237780
1010222331020002
1132912a2402052
1211911a5b85916
13591c66a687aa
14274a98d1b00a
1512ad8dad0b1c
hex94c1268c2e2

10222331020002 has 24 divisors (see below), whose sum is σ = 22148481586140. Its totient is φ = 3407428641120.

The previous prime is 10222331020001. The next prime is 10222331020063. The reversal of 10222331020002 is 20002013322201.

It can be written as a sum of positive squares in 2 ways, for example, as 9145428787881 + 1076902232121 = 3024141^2 + 1037739^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10222331020001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3409852 + ... + 5663192.

Almost surely, 210222331020002 is an apocalyptic number.

10222331020002 is an abundant number, since it is smaller than the sum of its proper divisors (11926150566138).

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

10222331020002 is a wasteful number, since it uses less digits than its factorization.

10222331020002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505378 (or 2505375 counting only the distinct ones).

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

Adding to 10222331020002 its reverse (20002013322201), we get a palindrome (30224344342203).

The spelling of 10222331020002 in words is "ten trillion, two hundred twenty-two billion, three hundred thirty-one million, twenty thousand, two".

Divisors: 1 2 3 6 9 18 252029 504058 756087 1512174 2253341 2268261 4506682 4536522 6760023 13520046 20280069 40560138 567907278889 1135814557778 1703721836667 3407443673334 5111165510001 10222331020002