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110113011312 = 24319219732257
BaseRepresentation
bin110011010001100111…
…1110011011001110000
3101112012222001112202020
41212203033303121300
53301002412330222
6122330223551440
710645463103333
oct1464317633160
9345188045666
10110113011312
1142775a19197
121941075b580
13a4caa47ac5
14548820061a
152ce6ebc65c
hex19a33f3670

110113011312 has 120 divisors (see below), whose sum is σ = 301751396496. Its totient is φ = 34594947072.

The previous prime is 110113011301. The next prime is 110113011341. The reversal of 110113011312 is 213110311011.

It is a super-2 number, since 2×1101130113122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110113011291 and 110113011300.

It is a congruent number.

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, 3397488 + ... + 3429744.

Almost surely, 2110113011312 is an apocalyptic number.

110113011312 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 110113011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150875698248).

110113011312 is an abundant number, since it is smaller than the sum of its proper divisors (191638385184).

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

110113011312 is a wasteful number, since it uses less digits than its factorization.

110113011312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32503 (or 32478 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 110113011312 its reverse (213110311011), we get a palindrome (323223322323).

The spelling of 110113011312 in words is "one hundred ten billion, one hundred thirteen million, eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 197 228 304 361 394 456 591 722 788 912 1083 1182 1444 1576 2166 2364 2888 3152 3743 4332 4728 5776 7486 8664 9456 11229 14972 17328 22458 29944 32257 44916 59888 64514 71117 89832 96771 129028 142234 179664 193542 213351 258056 284468 387084 426702 516112 568936 612883 774168 853404 1137872 1225766 1548336 1706808 1838649 2451532 3413616 3677298 4903064 6354629 7354596 9806128 11644777 12709258 14709192 19063887 23289554 25418516 29418384 34934331 38127774 46579108 50837032 69868662 76255548 93158216 101674064 120737951 139737324 152511096 186316432 241475902 279474648 305022192 362213853 482951804 558949296 724427706 965903608 1448855412 1931807216 2294021069 2897710824 4588042138 5795421648 6882063207 9176084276 13764126414 18352168552 27528252828 36704337104 55056505656 110113011312