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1002112210220 = 2251161671114523
BaseRepresentation
bin11101001010100101000…
…10101101010100101100
310112210121220220211012012
432211102202231110230
5112404311211211340
62044210342300352
7132254163146222
oct16452242552454
93483556824165
101002112210220
11356aa2243780
121422714276b8
1373663a70284
1436706b90b12
151b101de1565
hexe9528ad52c

1002112210220 has 96 divisors (see below), whose sum is σ = 2368211924736. Its totient is φ = 353080569600.

The previous prime is 1002112210213. The next prime is 1002112210223. The reversal of 1002112210220 is 220122112001.

It is a junction number, because it is equal to n+sod(n) for n = 1002112210195 and 1002112210204.

It is not an unprimeable number, because it can be changed into a prime (1002112210223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341879 + ... + 1456401.

It is an arithmetic number, because the mean of its divisors is an integer number (24668874216).

Almost surely, 21002112210220 is an apocalyptic number.

1002112210220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002112210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184105962368).

1002112210220 is an abundant number, since it is smaller than the sum of its proper divisors (1366099714516).

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

1002112210220 is a wasteful number, since it uses less digits than its factorization.

1002112210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114671 (or 1114669 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1002112210220 its reverse (220122112001), we get a palindrome (1222234322221).

The spelling of 1002112210220 in words is "one trillion, two billion, one hundred twelve million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 67 110 122 134 220 244 268 305 335 610 670 671 737 1220 1340 1342 1474 2684 2948 3355 3685 4087 6710 7370 8174 13420 14740 16348 20435 40870 44957 81740 89914 179828 224785 449570 899140 1114523 2229046 4458092 5572615 11145230 12259753 22290460 24519506 49039012 61298765 67985903 74673041 122597530 135971806 149346082 245195060 271943612 298692164 339929515 373365205 679859030 746730410 747844933 821403451 1359718060 1493460820 1495689866 1642806902 2991379732 3285613804 3739224665 4107017255 4555055501 7478449330 8214034510 9110111002 14956898660 16428069020 18220222004 22775277505 45550555010 50105610511 91101110020 100211221022 200422442044 250528052555 501056105110 1002112210220