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1002020132020 = 22562578007193
BaseRepresentation
bin11101001010011010000…
…11011101010010110100
310112210101111122202122111
432211031003131102310
5112404114123211040
62044153252540404
7132251664406525
oct16451503352264
93483344582574
101002020132020
11356a55272a96
12142246621704
137364a97142b
14366d886284c
151b0e8ca3dea
hexe94d0dd4b4

1002020132020 has 24 divisors (see below), whose sum is σ = 2104578842184. Its totient is φ = 400743945216.

The previous prime is 1002020131997. The next prime is 1002020132051. The reversal of 1002020132020 is 202310202001.

1002020132020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 332545982224 + 669474149796 = 576668^2 + 818214^2 .

It is a congruent number.

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, 3878457 + ... + 4128736.

It is an arithmetic number, because the mean of its divisors is an integer number (87690785091).

Almost surely, 21002020132020 is an apocalyptic number.

1002020132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002020132020 is an abundant number, since it is smaller than the sum of its proper divisors (1102558710164).

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

1002020132020 is a wasteful number, since it uses less digits than its factorization.

1002020132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8013459 (or 8013457 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 1002020132020 its reverse (202310202001), we get a palindrome (1204330334021).

The spelling of 1002020132020 in words is "one trillion, two billion, twenty million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 6257 12514 25028 31285 62570 125140 8007193 16014386 32028772 40035965 80071930 160143860 50101006601 100202013202 200404026404 250505033005 501010066010 1002020132020