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11222321112 = 23321737247799
BaseRepresentation
bin10100111001110011…
…10000011111011000
31001222002202222110200
422130321300133120
5140440403233422
65053325142200
7545046104232
oct123471603730
931862688420
1011222321112
114839786a52
1222123ba960
13109acc86c2
14786623252
1545a3572ac
hex29ce707d8

11222321112 has 96 divisors (see below), whose sum is σ = 33051564000. Its totient is φ = 3425559552.

The previous prime is 11222321111. The next prime is 11222321113. The reversal of 11222321112 is 21112322211.

11222321112 is a `hidden beast` number, since 11 + 222 + 321 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (11222321111) and next prime (11222321113).

It is a super-2 number, since 2×112223211122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222321111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78612 + ... + 169187.

It is an arithmetic number, because the mean of its divisors is an integer number (344287125).

Almost surely, 211222321112 is an apocalyptic number.

11222321112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11222321112 is an abundant number, since it is smaller than the sum of its proper divisors (21829242888).

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

11222321112 is a wasteful number, since it uses less digits than its factorization.

11222321112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247865 (or 247858 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 11222321112 its reverse (21112322211), we get a palindrome (32334643323).

The spelling of 11222321112 in words is "eleven billion, two hundred twenty-two million, three hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 37 51 68 72 74 102 111 136 148 153 204 222 296 306 333 408 444 612 629 666 888 1224 1258 1332 1887 2516 2664 3774 5032 5661 7548 11322 15096 22644 45288 247799 495598 743397 991196 1486794 1982392 2230191 2973588 4212583 4460382 5947176 8425166 8920764 9168563 12637749 16850332 17841528 18337126 25275498 27505689 33700664 36674252 37913247 50550996 55011378 73348504 75826494 82517067 101101992 110022756 151652988 155865571 165034134 220045512 303305976 311731142 330068268 467596713 623462284 660136536 935193426 1246924568 1402790139 1870386852 2805580278 3740773704 5611160556 11222321112