Search a number
-
+
2211013120 = 2952713187
BaseRepresentation
bin1000001111001001…
…0110001000000000
312201002102002210211
42003302112020000
514012004404440
61003221403504
7105535205251
oct20362261000
95632362724
102211013120
11a35071978
12518569594
132930b93b4
1416d906b28
15ce194eea
hex83c96200

2211013120 has 80 divisors (see below), whose sum is σ = 5322480768. Its totient is φ = 880865280.

The previous prime is 2211013117. The next prime is 2211013159. The reversal of 2211013120 is 213101122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2211013120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 692167 + ... + 695353.

Almost surely, 22211013120 is an apocalyptic number.

2211013120 is a gapful number since it is divisible by the number (20) 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 2211013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661240384).

2211013120 is an abundant number, since it is smaller than the sum of its proper divisors (3111467648).

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

2211013120 is an equidigital number, since it uses as much as digits as its factorization.

2211013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3481 (or 3465 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2211013120 is about 47021.4112931545. The cubic root of 2211013120 is about 1302.7580733416.

Adding to 2211013120 its reverse (213101122), we get a palindrome (2424114242).

The spelling of 2211013120 in words is "two billion, two hundred eleven million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 271 320 512 542 640 1084 1280 1355 2168 2560 2710 3187 4336 5420 6374 8672 10840 12748 15935 17344 21680 25496 31870 34688 43360 50992 63740 69376 86720 101984 127480 138752 173440 203968 254960 346880 407936 509920 693760 815872 863677 1019840 1631744 1727354 2039680 3454708 4079360 4318385 6909416 8158720 8636770 13818832 17273540 27637664 34547080 55275328 69094160 110550656 138188320 221101312 276376640 442202624 552753280 1105506560 2211013120