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1002211120020 = 2235111841382469
BaseRepresentation
bin11101001010110000111…
…00000001001110010100
310112210212211000221221010
432211120130001032110
5112410012021320040
62044224234252220
7132256503651045
oct16453034011624
93483784027833
101002211120020
11357043060110
1214229a587070
137367b3c1796
1436715d7a8cc
151b10a92ce80
hexe958701394

1002211120020 has 96 divisors (see below), whose sum is σ = 3061502801280. Its totient is φ = 242944130560.

The previous prime is 1002211120003. The next prime is 1002211120051. The reversal of 1002211120020 is 200211122001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1002211119978 and 1002211120005.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12111346 + ... + 12193814.

It is an arithmetic number, because the mean of its divisors is an integer number (31890654180).

Almost surely, 21002211120020 is an apocalyptic number.

1002211120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002211120020 is an abundant number, since it is smaller than the sum of its proper divisors (2059291681260).

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

1002211120020 is a wasteful number, since it uses less digits than its factorization.

1002211120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100905 (or 100903 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1002211120020 its reverse (200211122001), we get a palindrome (1202422242021).

The spelling of 1002211120020 in words is "one trillion, two billion, two hundred eleven million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 18413 36826 55239 73652 82469 92065 110478 164938 184130 202543 220956 247407 276195 329876 368260 405086 412345 494814 552390 607629 810172 824690 907159 989628 1012715 1104780 1215258 1237035 1649380 1814318 2025430 2430516 2474070 2721477 3038145 3628636 4050860 4535795 4948140 5442954 6076290 9071590 10885908 12152580 13607385 18143180 27214770 54429540 1518501697 3037003394 4555505091 6074006788 7592508485 9111010182 15185016970 16703518667 18222020364 22777525455 30370033940 33407037334 45555050910 50110556001 66814074668 83517593335 91110101820 100221112002 167035186670 200442224004 250552780005 334070373340 501105560010 1002211120020