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111002320 = 245111331313
BaseRepresentation
bin1101001110111…
…00001011010000
321201212111120001
412213130023100
5211404033240
615003055344
72515334632
oct647341320
9251774501
10111002320
1157726760
1231211554
1319cc6660
1410a56a52
159b2989a
hex69dc2d0

111002320 has 160 divisors (see below), whose sum is σ = 313979904. Its totient is φ = 35942400.

The previous prime is 111002303. The next prime is 111002321. The reversal of 111002320 is 23200111.

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

It is a junction number, because it is equal to n+sod(n) for n = 111002297 and 111002306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111002321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354484 + ... + 354796.

Almost surely, 2111002320 is an apocalyptic number.

111002320 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 111002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156989952).

111002320 is an abundant number, since it is smaller than the sum of its proper divisors (202977584).

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

111002320 is a wasteful number, since it uses less digits than its factorization.

111002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 111002320 is about 10535.7638546049. The cubic root of 111002320 is about 480.5929015987.

Adding to 111002320 its reverse (23200111), we get a palindrome (134202431).

The spelling of 111002320 in words is "one hundred eleven million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 31 40 44 52 55 62 65 80 88 104 110 124 130 143 155 176 208 220 248 260 286 310 313 341 403 440 496 520 572 620 626 682 715 806 880 1040 1144 1240 1252 1364 1430 1565 1612 1705 2015 2288 2480 2504 2728 2860 3130 3224 3410 3443 4030 4069 4433 5008 5456 5720 6260 6448 6820 6886 8060 8138 8866 9703 11440 12520 13640 13772 16120 16276 17215 17732 19406 20345 22165 25040 27280 27544 32240 32552 34430 35464 38812 40690 44330 44759 48515 55088 65104 68860 70928 77624 81380 88660 89518 97030 106733 126139 137720 155248 162760 177320 179036 194060 213466 223795 252278 275440 325520 354640 358072 388120 426932 447590 504556 533665 630695 716144 776240 853864 895180 1009112 1067330 1261390 1387529 1707728 1790360 2018224 2134660 2522780 2775058 3580720 4269320 5045560 5550116 6937645 8538640 10091120 11100232 13875290 22200464 27750580 55501160 111002320