Search a number
-
+
12002001020 = 22517208116963
BaseRepresentation
bin10110010110110000…
…00000000001111100
31010222102212211020022
423023120000001330
5144040003013040
65302540311312
7603264216422
oct131330000174
933872784208
1012002001020
1150a98a9009
1223ab542538
1311936b5569
1481bdbd112
154a3a186b5
hex2cb60007c

12002001020 has 48 divisors (see below), whose sum is σ = 26701200288. Its totient is φ = 4515962880.

The previous prime is 12002001019. The next prime is 12002001023. The reversal of 12002001020 is 2010020021.

It is a junction number, because it is equal to n+sod(n) for n = 12002000989 and 12002001007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002001023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 699059 + ... + 716021.

It is an arithmetic number, because the mean of its divisors is an integer number (556275006).

Almost surely, 212002001020 is an apocalyptic number.

12002001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002001020 is an abundant number, since it is smaller than the sum of its proper divisors (14699199268).

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

12002001020 is a wasteful number, since it uses less digits than its factorization.

12002001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19070 (or 19068 counting only the distinct ones).

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

Adding to 12002001020 its reverse (2010020021), we get a palindrome (14012021041).

The spelling of 12002001020 in words is "twelve billion, two million, one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 2081 4162 8324 10405 16963 20810 33926 35377 41620 67852 70754 84815 141508 169630 176885 288371 339260 353770 576742 707540 1153484 1441855 2883710 5767420 35300003 70600006 141200012 176500015 353000030 600100051 706000060 1200200102 2400400204 3000500255 6001000510 12002001020