Search a number
-
+
1002012020120 = 235103243206801
BaseRepresentation
bin11101001010011001001…
…00100000110110011000
310112210100221101122012202
432211030210200312120
5112404110034120440
62044152403025332
7132251535432626
oct16451444406630
93483327348182
101002012020120
11356a50732441
1214224396b248
13736490910a7
14366d7750516
151b0e8200615
hexe94c920d98

1002012020120 has 32 divisors (see below), whose sum is σ = 2276415666720. Its totient is φ = 396913497600.

The previous prime is 1002012020071. The next prime is 1002012020123. The reversal of 1002012020120 is 210202102001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002012020123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121599281 + ... + 121607520.

It is an arithmetic number, because the mean of its divisors is an integer number (71137989585).

Almost surely, 21002012020120 is an apocalyptic number.

1002012020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002012020120 is an abundant number, since it is smaller than the sum of its proper divisors (1274403646600).

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

1002012020120 is a wasteful number, since it uses less digits than its factorization.

1002012020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243206915 (or 243206911 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1002012020120 its reverse (210202102001), we get a palindrome (1212214122121).

The spelling of 1002012020120 in words is "one trillion, two billion, twelve million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 103 206 412 515 824 1030 2060 4120 243206801 486413602 972827204 1216034005 1945654408 2432068010 4864136020 9728272040 25050300503 50100601006 100201202012 125251502515 200402404024 250503005030 501006010060 1002012020120