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1001002222012 = 2213611546120411
BaseRepresentation
bin11101001000100000110…
…00011100000110111100
310112200202120021120121211
432210100120130012330
5112400023032101022
62043504251334204
7132214524333052
oct16442030340674
93480676246554
101001002222012
11356582727151
12142001751364
1373517b03210
143663d5b21d2
151b089735e77
hexe91061c1bc

1001002222012 has 48 divisors (see below), whose sum is σ = 1917648450144. Its totient is φ = 454375584000.

The previous prime is 1001002222007. The next prime is 1001002222013. The reversal of 1001002222012 is 2102222001001.

It is a happy number.

It is a super-2 number, since 2×10010022220122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 1001002221983 and 1001002222001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001002222013) 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 15 ways as a sum of consecutive naturals, for example, 49032087 + ... + 49052497.

It is an arithmetic number, because the mean of its divisors is an integer number (39951009378).

Almost surely, 21001002222012 is an apocalyptic number.

It is an amenable number.

1001002222012 is a deficient number, since it is larger than the sum of its proper divisors (916646228132).

1001002222012 is a wasteful number, since it uses less digits than its factorization.

1001002222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35950 (or 35948 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1001002222012 its reverse (2102222001001), we get a palindrome (3103224223013).

The spelling of 1001002222012 in words is "one trillion, one billion, two million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 4 13 26 52 61 122 244 793 1586 3172 15461 20411 30922 40822 61844 81644 200993 265343 401986 530686 803972 943121 1061372 1245071 1886242 2490142 3772484 4980284 12260573 16185923 24521146 32371846 49042292 64743692 315574471 631148942 1262297884 4102468123 8204936246 16409872492 19250042731 38500085462 77000170924 250250555503 500501111006 1001002222012