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10111233220 = 225111011134027
BaseRepresentation
bin10010110101010110…
…10010110011000100
3222002200001212102021
421122223102303010
5131201433430340
64351154452524
7505365031024
oct113253226304
928080055367
1010111233220
1143195891a0
121b62294144
13c51a64c4a
146bcc39a84
153e2a30e4a
hex25aad2cc4

10111233220 has 96 divisors (see below), whose sum is σ = 23606142336. Its totient is φ = 3607296000.

The previous prime is 10111233217. The next prime is 10111233241. The reversal of 10111233220 is 2233211101.

It is a junction number, because it is equal to n+sod(n) for n = 10111233194 and 10111233203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2508847 + ... + 2512873.

It is an arithmetic number, because the mean of its divisors is an integer number (245897316).

Almost surely, 210111233220 is an apocalyptic number.

10111233220 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 10111233220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11803071168).

10111233220 is an abundant number, since it is smaller than the sum of its proper divisors (13494909116).

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

10111233220 is a wasteful number, since it uses less digits than its factorization.

10111233220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4261 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10111233220 its reverse (2233211101), we get a palindrome (12344444321).

The spelling of 10111233220 in words is "ten billion, one hundred eleven million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 113 202 220 226 404 452 505 565 1010 1111 1130 1243 2020 2222 2260 2486 4027 4444 4972 5555 6215 8054 11110 11413 12430 16108 20135 22220 22826 24860 40270 44297 45652 57065 80540 88594 114130 125543 177188 221485 228260 251086 406727 442970 455051 502172 627715 813454 885940 910102 1255430 1626908 1820204 2033635 2275255 2510860 4067270 4473997 4550510 5005561 8134540 8947994 9101020 10011122 17895988 20022244 22369985 25027805 44739970 45960151 50055610 89479940 91920302 100111220 183840604 229800755 459601510 505561661 919203020 1011123322 2022246644 2527808305 5055616610 10111233220