Search a number
-
+
2002120001010 = 233528126388823
BaseRepresentation
bin11101001000100111101…
…001101100010111110010
321002101211012000001122000
4131020213221230113302
5230300320210013020
64131432231554430
7264435254134023
oct35104751542762
97071735001560
102002120001010
117021045aaa38
12284035b2ba16
13116a50835c3c
146cc90264c4a
153712e196090
hex1d227a6c5f2

2002120001010 has 64 divisors (see below), whose sum is σ = 5357986824960. Its totient is φ = 531998651520.

The previous prime is 2002120001003. The next prime is 2002120001017. The reversal of 2002120001010 is 101000212002.

It is an interprime number because it is at equal distance from previous prime (2002120001003) and next prime (2002120001017).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2002120000983 and 2002120001001.

It is not an unprimeable number, because it can be changed into a prime (2002120001017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13118542 + ... + 13270281.

It is an arithmetic number, because the mean of its divisors is an integer number (83718544140).

Almost surely, 22002120001010 is an apocalyptic number.

2002120001010 is an abundant number, since it is smaller than the sum of its proper divisors (3355866823950).

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

2002120001010 is a wasteful number, since it uses less digits than its factorization.

2002120001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26389120 (or 26389114 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2002120001010 its reverse (101000212002), we get a palindrome (2103120213012).

The spelling of 2002120001010 in words is "two trillion, two billion, one hundred twenty million, one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 281 562 843 1405 1686 2529 2810 4215 5058 7587 8430 12645 15174 25290 37935 75870 26388823 52777646 79166469 131944115 158332938 237499407 263888230 395832345 474998814 712498221 791664690 1187497035 1424996442 2374994070 3562491105 7124982210 7415259263 14830518526 22245777789 37076296315 44491555578 66737333367 74152592630 111228888945 133474666734 200212000101 222457777890 333686666835 400424000202 667373333670 1001060000505 2002120001010