Search a number
-
+
1012020112020 = 223539239429853
BaseRepresentation
bin11101011101000010001…
…10010110101010010100
310120202012102101101100010
432232201012112222110
5113040104122041040
62052525435120220
7133054542006261
oct16564106265224
93522172341303
101012020112020
11360216a73a75
121441775a3070
1374582652768
1436da69bc268
151b4d1b5ae80
hexeba1196a94

1012020112020 has 48 divisors (see below), whose sum is σ = 2833735121280. Its totient is φ = 269864524416.

The previous prime is 1012020111967. The next prime is 1012020112021. The reversal of 1012020112020 is 202110202101.

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 = 1012020111987 and 1012020112005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012020112021) 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 15 ways as a sum of consecutive naturals, for example, 2139414 + ... + 2569266.

It is an arithmetic number, because the mean of its divisors is an integer number (59036148360).

Almost surely, 21012020112020 is an apocalyptic number.

1012020112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012020112020 is an abundant number, since it is smaller than the sum of its proper divisors (1821715009260).

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

1012020112020 is a wasteful number, since it uses less digits than its factorization.

1012020112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469104 (or 469102 counting only the distinct ones).

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

Adding to 1012020112020 its reverse (202110202101), we get a palindrome (1214130314121).

The spelling of 1012020112020 in words is "one trillion, twelve billion, twenty million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 39239 78478 117717 156956 196195 235434 392390 429853 470868 588585 784780 859706 1177170 1289559 1719412 2149265 2354340 2579118 4298530 5158236 6447795 8597060 12895590 25791180 16867001867 33734003734 50601005601 67468007468 84335009335 101202011202 168670018670 202404022404 253005028005 337340037340 506010056010 1012020112020