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1002200102020 = 225133854615777
BaseRepresentation
bin11101001010101111100…
…01111111010010000100
310112210212001022012002001
432211113301333102010
5112410001211231040
62044223202155044
7132256311211435
oct16452761772204
93483761265061
101002200102020
11357037915127
12142296952a84
1373679034760
143671470d48c
151b1099a359a
hexe957c7f484

1002200102020 has 24 divisors (see below), whose sum is σ = 2266514077464. Its totient is φ = 370043114496.

The previous prime is 1002200101897. The next prime is 1002200102047. The reversal of 1002200102020 is 202010022001.

It can be written as a sum of positive squares in 4 ways, for example, as 240615756676 + 761584345344 = 490526^2 + 872688^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1002200101988 and 1002200102006.

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, 1927307629 + ... + 1927308148.

It is an arithmetic number, because the mean of its divisors is an integer number (94438086561).

Almost surely, 21002200102020 is an apocalyptic number.

1002200102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002200102020 is an abundant number, since it is smaller than the sum of its proper divisors (1264313975444).

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

1002200102020 is a wasteful number, since it uses less digits than its factorization.

1002200102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3854615799 (or 3854615797 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1002200102020 its reverse (202010022001), we get a palindrome (1204210124021).

The spelling of 1002200102020 in words is "one trillion, two billion, two hundred million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 3854615777 7709231554 15418463108 19273078885 38546157770 50110005101 77092315540 100220010202 200440020404 250550025505 501100051010 1002200102020