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1112020010200 = 2352114751106391
BaseRepresentation
bin10000001011101001100…
…011101100010011011000
310221022022120211112220201
4100023221203230103120
5121204404110311300
62210504400031544
7143224615062031
oct20135143542330
93838276745821
101112020010200
1139967233a620
1215b6253025b4
1380b2b127a48
143bb71a13a88
151ddd5d7566a
hex102e98ec4d8

1112020010200 has 96 divisors (see below), whose sum is σ = 2821107294720. Its totient is φ = 404282000000.

The previous prime is 1112020010177. The next prime is 1112020010261. The reversal of 1112020010200 is 20100202111.

It is a super-3 number, since 3×11120200102003 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 10399005 + ... + 10505395.

It is an arithmetic number, because the mean of its divisors is an integer number (29386534320).

Almost surely, 21112020010200 is an apocalyptic number.

1112020010200 is a gapful number since it is divisible by the number (10) 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 1112020010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410553647360).

1112020010200 is an abundant number, since it is smaller than the sum of its proper divisors (1709087284520).

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

1112020010200 is a wasteful number, since it uses less digits than its factorization.

1112020010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111169 (or 111160 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1112020010200 its reverse (20100202111), we get a palindrome (1132120212311).

The spelling of 1112020010200 in words is "one trillion, one hundred twelve billion, twenty million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 4751 9502 19004 23755 38008 47510 52261 95020 104522 106391 118775 190040 209044 212782 237550 261305 418088 425564 475100 522610 531955 851128 950200 1045220 1063910 1170301 1306525 2090440 2127820 2340602 2613050 2659775 4255640 4681204 5226100 5319550 5851505 9362408 10452200 10639100 11703010 21278200 23406020 29257525 46812040 58515050 117030100 234060200 505463641 1010927282 2021854564 2527318205 4043709128 5054636410 5560100051 10109272820 11120200102 12636591025 20218545640 22240400204 25273182050 27800500255 44480800408 50546364100 55601000510 101092728200 111202001020 139002501275 222404002040 278005002550 556010005100 1112020010200