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1002002201120 = 25537916523783
BaseRepresentation
bin11101001010010111111…
…11000011101000100000
310112210100020220210002002
432211023333003220200
5112404100030413440
62044151412343132
7132251356116044
oct16451377035040
93483306823062
101002002201120
11356a46136268
12142240614aa8
1373647033a2b
14366d6316024
151b0e7411115
hexe94bfc3a20

1002002201120 has 48 divisors (see below), whose sum is σ = 2373476333760. Its totient is φ = 399743334144.

The previous prime is 1002002201117. The next prime is 1002002201141. The reversal of 1002002201120 is 211022002001.

It is a happy number.

1002002201120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10020022011202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8201252 + ... + 8322531.

It is an arithmetic number, because the mean of its divisors is an integer number (49447423620).

Almost surely, 21002002201120 is an apocalyptic number.

1002002201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002002201120 is an abundant number, since it is smaller than the sum of its proper divisors (1371474132640).

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

1002002201120 is a wasteful number, since it uses less digits than its factorization.

1002002201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16524177 (or 16524169 counting only the distinct ones).

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

Adding to 1002002201120 its reverse (211022002001), we get a palindrome (1213024203121).

The spelling of 1002002201120 in words is "one trillion, two billion, two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 379 758 1516 1895 3032 3790 6064 7580 12128 15160 30320 60640 16523783 33047566 66095132 82618915 132190264 165237830 264380528 330475660 528761056 660951320 1321902640 2643805280 6262513757 12525027514 25050055028 31312568785 50100110056 62625137570 100200220112 125250275140 200400440224 250500550280 501001100560 1002002201120