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1002200121020 = 225711807606299
BaseRepresentation
bin11101001010101111100…
…10000011111010111100
310112210212001100011010202
432211113302003322330
5112410001212333040
62044223202423032
7132256311321020
oct16452762037274
93483761304122
101002200121020
1135703792842a
12142296961a78
13736790402b7
1436714716380
151b1099a9015
hexe957c83ebc

1002200121020 has 48 divisors (see below), whose sum is σ = 2405487974400. Its totient is φ = 343581801024.

The previous prime is 1002200120941. The next prime is 1002200121047. The reversal of 1002200121020 is 201210022001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1002200120992 and 1002200121010.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1349831 + ... + 1956129.

It is an arithmetic number, because the mean of its divisors is an integer number (50114332800).

Almost surely, 21002200121020 is an apocalyptic number.

1002200121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002200121020 is an abundant number, since it is smaller than the sum of its proper divisors (1403287853380).

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

1002200121020 is a wasteful number, since it uses less digits than its factorization.

1002200121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618122 (or 618120 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1002200121020 its reverse (201210022001), we get a palindrome (1203410143021).

The spelling of 1002200121020 in words is "one trillion, two billion, two hundred million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 11807 23614 47228 59035 82649 118070 165298 236140 330596 413245 606299 826490 1212598 1652980 2425196 3031495 4244093 6062990 8488186 12125980 16976372 21220465 42440930 84881860 7158572293 14317144586 28634289172 35792861465 50110006051 71585722930 100220012102 143171445860 200440024204 250550030255 501100060510 1002200121020