Search a number
-
+
11332220010 = 2354127133997
BaseRepresentation
bin10101000110111001…
…11111010001101010
31002020202120102102020
422203130333101222
5141202022020020
65112252445310
7550552165206
oct124334772152
932222512366
1011332220010
114895819691
122243179836
1310b79c6a37
1479706db06
15464d14c40
hex2a373f46a

11332220010 has 64 divisors (see below), whose sum is σ = 27964306944. Its totient is φ = 2937254400.

The previous prime is 11332219999. The next prime is 11332220023. The reversal of 11332220010 is 1002223311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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, 316332 + ... + 350328.

It is an arithmetic number, because the mean of its divisors is an integer number (436942296).

Almost surely, 211332220010 is an apocalyptic number.

11332220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11332220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13982153472).

11332220010 is an abundant number, since it is smaller than the sum of its proper divisors (16632086934).

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

11332220010 is a wasteful number, since it uses less digits than its factorization.

11332220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34319.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11332220010 its reverse (1002223311), we get a palindrome (12334443321).

The spelling of 11332220010 in words is "eleven billion, three hundred thirty-two million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 271 410 542 615 813 1230 1355 1626 2710 4065 8130 11111 22222 33333 33997 55555 66666 67994 101991 111110 166665 169985 203982 333330 339970 509955 1019910 1393877 2787754 4181631 6969385 8363262 9213187 13938770 18426374 20908155 27639561 41816310 46065935 55279122 92131870 138197805 276395610 377740667 755481334 1133222001 1888703335 2266444002 3777406670 5666110005 11332220010