Search a number
-
+
11011010120 = 2351182930187
BaseRepresentation
bin10100100000100111…
…01010111001001000
31001102101011021021122
422100103222321020
5140022304310440
65020340054412
7536602020215
oct122023527110
931371137248
1011011010120
114740478970
122173694408
1310662b0c06
14766538b0c
15446a167b5
hex2904eae48

11011010120 has 64 divisors (see below), whose sum is σ = 27060523200. Its totient is φ = 3999041280.

The previous prime is 11011010113. The next prime is 11011010137. The reversal of 11011010120 is 2101011011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 11011010098 and 11011010107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349667 + ... + 379853.

It is an arithmetic number, because the mean of its divisors is an integer number (422820675).

Almost surely, 211011010120 is an apocalyptic number.

11011010120 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 11011010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13530261600).

11011010120 is an abundant number, since it is smaller than the sum of its proper divisors (16049513080).

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

11011010120 is a wasteful number, since it uses less digits than its factorization.

11011010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31038 (or 31034 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11011010120 its reverse (2101011011), we get a palindrome (13112021131).

The spelling of 11011010120 in words is "eleven billion, eleven million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 829 1658 3316 4145 6632 8290 9119 16580 18238 30187 33160 36476 45595 60374 72952 91190 120748 150935 182380 241496 301870 332057 364760 603740 664114 1207480 1328228 1660285 2656456 3320570 6641140 13282280 25025023 50050046 100100092 125125115 200200184 250250230 275275253 500500460 550550506 1001000920 1101101012 1376376265 2202202024 2752752530 5505505060 11011010120