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11242333100 = 22521497391021
BaseRepresentation
bin10100111100001100…
…00110001110101100
31002000111102200202102
422132012012032230
5141011014124400
65055322114232
7545411153225
oct123606061654
932014380672
1011242333100
11484a005289
12221904b978
1310a21b440b
1478915224c
1545beab9d5
hex29e1863ac

11242333100 has 72 divisors (see below), whose sum is σ = 24616914000. Its totient is φ = 4456339200.

The previous prime is 11242333073. The next prime is 11242333163. The reversal of 11242333100 is 133324211.

It is a super-2 number, since 2×112423331002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11010590 + ... + 11011610.

Almost surely, 211242333100 is an apocalyptic number.

11242333100 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 11242333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12308457000).

11242333100 is an abundant number, since it is smaller than the sum of its proper divisors (13374580900).

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

11242333100 is a wasteful number, since it uses less digits than its factorization.

11242333100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 11242333100 its reverse (133324211), we get a palindrome (11375657311).

The spelling of 11242333100 in words is "eleven billion, two hundred forty-two million, three hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 596 739 745 1021 1478 1490 2042 2956 2980 3695 3725 4084 5105 7390 7450 10210 14780 14900 18475 20420 25525 36950 51050 73900 102100 110111 152129 220222 304258 440444 550555 608516 754519 760645 1101110 1509038 1521290 2202220 2752775 3018076 3042580 3772595 3803225 5505550 7545190 7606450 11011100 15090380 15212900 18862975 37725950 75451900 112423331 224846662 449693324 562116655 1124233310 2248466620 2810583275 5621166550 11242333100