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11113651032 = 233113110391307
BaseRepresentation
bin10100101100110110…
…01101101101011000
31001200112021222010220
422112123031231120
5140230043313112
65034444040040
7542256321651
oct122633155530
931615258126
1011113651032
114793403570
1221a1b33020
13108163a793
14776016528
15450a3d98c
hex2966cdb58

11113651032 has 128 divisors (see below), whose sum is σ = 31341772800. Its totient is φ = 3253507200.

The previous prime is 11113651007. The next prime is 11113651051. The reversal of 11113651032 is 23015631111.

It is a super-2 number, since 2×111136510322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11113650993 and 11113651011.

It is a congruent number.

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, 8502523 + ... + 8503829.

It is an arithmetic number, because the mean of its divisors is an integer number (244857600).

Almost surely, 211113651032 is an apocalyptic number.

11113651032 is a gapful number since it is divisible by the number (12) 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 11113651032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15670886400).

11113651032 is an abundant number, since it is smaller than the sum of its proper divisors (20228121768).

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

11113651032 is a wasteful number, since it uses less digits than its factorization.

11113651032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The spelling of 11113651032 in words is "eleven billion, one hundred thirteen million, six hundred fifty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1039 1307 1364 2046 2078 2614 2728 3117 3921 4092 4156 5228 6234 7842 8184 8312 10456 11429 12468 14377 15684 22858 24936 28754 31368 32209 34287 40517 43131 45716 57508 64418 68574 81034 86262 91432 96627 115016 121551 128836 137148 162068 172524 193254 243102 257672 274296 324136 345048 354299 386508 445687 486204 708598 773016 891374 972408 1062897 1337061 1357973 1417196 1782748 2125794 2674122 2715946 2834392 3565496 4073919 4251588 5348244 5431892 8147838 8503176 10696488 10863784 14937703 16295676 29875406 32591352 42097163 44813109 59750812 84194326 89626218 119501624 126291489 168388652 179252436 252582978 336777304 358504872 463068793 505165956 926137586 1010331912 1389206379 1852275172 2778412758 3704550344 5556825516 11113651032