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1112111300320 = 25547523282767
BaseRepresentation
bin10000001011101110111…
…111111011111011100000
310221022112221121120102021
4100023232333323323200
5121210100443102240
62210521420431224
7143230104040006
oct20135677737340
93838487546367
101112111300320
113997099221a9
1215b64b9a8514
1380b4400bc77
143bb7dbb8a76
151ddddda954a
hex102eeffbee0

1112111300320 has 96 divisors (see below), whose sum is σ = 2688404318208. Its totient is φ = 434545740288.

The previous prime is 1112111300317. The next prime is 1112111300369. The reversal of 1112111300320 is 230031112111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1112111300294 and 1112111300303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3791577 + ... + 4074343.

It is an arithmetic number, because the mean of its divisors is an integer number (28004211648).

Almost surely, 21112111300320 is an apocalyptic number.

1112111300320 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 1112111300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344202159104).

1112111300320 is an abundant number, since it is smaller than the sum of its proper divisors (1576293017888).

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

1112111300320 is a wasteful number, since it uses less digits than its factorization.

1112111300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283352 (or 283344 counting only the distinct ones).

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

Adding to 1112111300320 its reverse (230031112111), we get a palindrome (1342142412431).

The spelling of 1112111300320 in words is "one trillion, one hundred twelve billion, one hundred eleven million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 523 752 940 1046 1504 1880 2092 2615 3760 4184 5230 7520 8368 10460 16736 20920 24581 41840 49162 83680 98324 122905 196648 245810 282767 393296 491620 565534 786592 983240 1131068 1413835 1966480 2262136 2827670 3932960 4524272 5655340 9048544 11310680 13290049 22621360 26580098 45242720 53160196 66450245 106320392 132900490 147887141 212640784 265800980 295774282 425281568 531601960 591548564 739435705 1063203920 1183097128 1478871410 2126407840 2366194256 2957742820 4732388512 5915485640 6950695627 11830971280 13901391254 23661942560 27802782508 34753478135 55605565016 69506956270 111211130032 139013912540 222422260064 278027825080 556055650160 1112111300320