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110112003011032 = 231119237993358229
BaseRepresentation
bin11001000010010101110010…
…110100110011000111011000
3112102212121022210222021001221
4121002111302310303013120
5103413033340232323112
61030104431133021424
732123221040432401
oct3102256264630730
9472777283867057
10110112003011032
11320a32690a4120
121042453b024874
13495969575b099
141d296411649a8
15cae3ec5b4e07
hex642572d331d8

110112003011032 has 128 divisors (see below), whose sum is σ = 247422869568000. Its totient is φ = 45349257507840.

The previous prime is 110112003011011. The next prime is 110112003011033. The reversal of 110112003011032 is 230110300211011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110112003010997 and 110112003011015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110112003011033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307199694 + ... + 307557922.

It is an arithmetic number, because the mean of its divisors is an integer number (1932991168500).

Almost surely, 2110112003011032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110112003011032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123711434784000).

110112003011032 is an abundant number, since it is smaller than the sum of its proper divisors (137310866556968).

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

110112003011032 is a wasteful number, since it uses less digits than its factorization.

110112003011032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366281 (or 366277 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 110112003011032 its reverse (230110300211011), we get a palindrome (340222303222043).

The spelling of 110112003011032 in words is "one hundred ten trillion, one hundred twelve billion, three million, eleven thousand, thirty-two".

Divisors: 1 2 4 8 11 19 22 23 38 44 46 76 88 92 152 184 209 253 418 437 506 836 874 1012 1672 1748 2024 3496 4807 7993 9614 15986 19228 31972 38456 63944 87923 151867 175846 183839 303734 351692 358229 367678 607468 703384 716458 735356 1214936 1432916 1470712 1670537 2022229 2865832 3341074 3492941 3940519 4044458 6682148 6806351 6985882 7881038 8088916 8239267 13364296 13612702 13971764 15762076 16177832 16478534 27225404 27943528 31524152 32957068 38422351 54450808 65914136 74869861 76844702 90631937 149739722 153689404 156546073 181263874 299479444 307378808 313092146 362527748 598958888 626184292 725055496 1252368584 1722006803 2863324397 3444013606 5726648794 6888027212 11453297588 13776054424 22906595176 31496568367 54403163543 62993136734 65856461131 108806327086 125986273468 131712922262 217612654172 251972546936 263425844524 435225308344 526851689048 598434798973 724421072441 1196869597946 1251272761489 1448842144882 2393739195892 2502545522978 2897684289764 4787478391784 5005091045956 5795368579528 10010182091912 13764000376379 27528000752758 55056001505516 110112003011032