Search a number
-
+
1213518120 = 233518155871
BaseRepresentation
bin100100001010100…
…1101000100101000
310010120110002220120
41020111031010220
54441130034440
6320225523240
742033506463
oct11025150450
93116402816
101213518120
11572aaa141
1229a4a3520
13164548479
14b724c2da
157180add0
hex4854d128

1213518120 has 64 divisors (see below), whose sum is σ = 3660733440. Its totient is φ = 321811200.

The previous prime is 1213518113. The next prime is 1213518121. The reversal of 1213518120 is 218153121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1213518121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6216 + ... + 49655.

It is an arithmetic number, because the mean of its divisors is an integer number (57198960).

Almost surely, 21213518120 is an apocalyptic number.

1213518120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213518120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830366720).

1213518120 is an abundant number, since it is smaller than the sum of its proper divisors (2447215320).

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

1213518120 is a wasteful number, since it uses less digits than its factorization.

1213518120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56066 (or 56062 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 1213518120 is about 34835.5869765388. The cubic root of 1213518120 is about 1066.6339968293.

It can be divided in two parts, 12135181 and 20, that added together give a triangular number (12135201 = T4926).

The spelling of 1213518120 in words is "one billion, two hundred thirteen million, five hundred eighteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 181 362 543 724 905 1086 1448 1810 2172 2715 3620 4344 5430 7240 10860 21720 55871 111742 167613 223484 279355 335226 446968 558710 670452 838065 1117420 1340904 1676130 2234840 3352260 6704520 10112651 20225302 30337953 40450604 50563255 60675906 80901208 101126510 121351812 151689765 202253020 242703624 303379530 404506040 606759060 1213518120