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112003002101032 = 23717223899289577
BaseRepresentation
bin11001011101110110111011…
…001001110110110100101000
3112200120101022210101011111021
4121131312323021312310220
5104140024122014213112
61034113245134142224
732406643542461020
oct3135667311666450
9480511283334437
10112003002101032
113276222a856a09
121068ab22951974
134a65ab77a4473
141d92d8d3c2a80
15ce36c604b907
hex65ddbb276d28

112003002101032 has 96 divisors (see below), whose sum is σ = 254966479128000. Its totient is φ = 45175635154944.

The previous prime is 112003002101021. The next prime is 112003002101033. The reversal of 112003002101032 is 230101200300211.

It is a super-3 number, since 3×1120030021010323 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112003002100997 and 112003002101015.

It is not an unprimeable number, because it can be changed into a prime (112003002101033) 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, 386636628 + ... + 386926204.

It is an arithmetic number, because the mean of its divisors is an integer number (2655900824250).

Almost surely, 2112003002101032 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 112003002101032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127483239564000).

112003002101032 is an abundant number, since it is smaller than the sum of its proper divisors (142963477026968).

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

112003002101032 is a wasteful number, since it uses less digits than its factorization.

112003002101032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313523 (or 313502 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 112003002101032 its reverse (230101200300211), we get a palindrome (342104202401243).

The spelling of 112003002101032 in words is "one hundred twelve trillion, three billion, two million, one hundred one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 289 476 578 952 1156 2023 2312 4046 8092 16184 23899 47798 95596 167293 191192 289577 334586 406283 579154 669172 812566 1158308 1338344 1625132 2027039 2316616 2843981 3250264 4054078 4922809 5687962 6906811 8108156 9845618 11375924 13813622 16216312 19691236 22751848 27627244 34459663 39382472 48347677 55254488 68919326 83687753 96695354 137838652 167375506 193390708 275677304 334751012 386781416 585814271 669502024 1171628542 2343257084 4686514168 6920600723 13841201446 27682402892 48444205061 55364805784 96888410122 117650212291 193776820244 235300424582 387553640488 470600849164 823551486037 941201698328 1647102972074 2000053608947 3294205944148 4000107217894 6588411888296 8000214435788 14000375262629 16000428871576 28000750525258 56001501050516 112003002101032