Search a number
-
+
10002120112020 = 2235166702001867
BaseRepresentation
bin1001000110001100110011…
…0100001111011110010100
31022102012012221121002202210
42101203030310033132110
52302333320222041040
633134524402233420
72051425601115021
oct221431464173624
938365187532683
1010002120112020
11320696a059613
121156589955870
1357727146878a
14268168932548
151252a112e480
hex918ccd0f794

10002120112020 has 24 divisors (see below), whose sum is σ = 28005936313824. Its totient is φ = 2667232029856.

The previous prime is 10002120111959. The next prime is 10002120112067. The reversal of 10002120112020 is 2021102120001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10002120111987 and 10002120112005.

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, 83351000874 + ... + 83351000993.

It is an arithmetic number, because the mean of its divisors is an integer number (1166914013076).

Almost surely, 210002120112020 is an apocalyptic number.

10002120112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002120112020 is an abundant number, since it is smaller than the sum of its proper divisors (18003816201804).

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

10002120112020 is a wasteful number, since it uses less digits than its factorization.

10002120112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166702001879 (or 166702001877 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10002120112020 its reverse (2021102120001), we get a palindrome (12023222232021).

The spelling of 10002120112020 in words is "ten trillion, two billion, one hundred twenty million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 166702001867 333404003734 500106005601 666808007468 833510009335 1000212011202 1667020018670 2000424022404 2500530028005 3334040037340 5001060056010 10002120112020