Search a number
-
+
200012122002 = 237111367931649
BaseRepresentation
bin1011101001000110100…
…1101100011110010010
3201010021012002112202110
42322101221230132102
511234111100401002
6231515001530150
720310325662060
oct2722151543622
9633235075673
10200012122002
11779086a0690
123291b7a3956
1315b269a4864
149975959030
15530956ae6c
hex2e91a6c792

200012122002 has 64 divisors (see below), whose sum is σ = 498783744000. Its totient is φ = 51945761280.

The previous prime is 200012121973. The next prime is 200012122007. The reversal of 200012122002 is 200221210002.

200012122002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (200012122007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6303874 + ... + 6335522.

It is an arithmetic number, because the mean of its divisors is an integer number (7793496000).

Almost surely, 2200012122002 is an apocalyptic number.

200012122002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

200012122002 is an abundant number, since it is smaller than the sum of its proper divisors (298771621998).

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

200012122002 is a wasteful number, since it uses less digits than its factorization.

200012122002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45351.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200012122002 its reverse (200221210002), we get a palindrome (400233332004).

The spelling of 200012122002 in words is "two hundred billion, twelve million, one hundred twenty-two thousand, two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 13679 27358 31649 41037 63298 82074 94947 95753 150469 189894 191506 221543 287259 300938 348139 443086 451407 574518 664629 696278 902814 1044417 1053283 1329258 2088834 2106566 2436973 3159849 4873946 6319698 7310919 14621838 432926671 865853342 1298780013 2597560026 3030486697 4762193381 6060973394 9091460091 9524386762 14286580143 18182920182 28573160286 33335353667 66670707334 100006061001 200012122002