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111212002000 = 2453119915101
BaseRepresentation
bin110011110010011000…
…0000111101011010000
3101122001120000001120001
41213210300013223100
53310230233031000
6123031243055344
711014636263661
oct1474460075320
9348046001501
10111212002000
114318a304160
1219678811554
13a644634258
145550159368
152d5d70446a
hex19e4c07ad0

111212002000 has 160 divisors (see below), whose sum is σ = 293710629888. Its totient is φ = 40392000000.

The previous prime is 111212001947. The next prime is 111212002003. The reversal of 111212002000 is 200212111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111212002003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21799450 + ... + 21804550.

Almost surely, 2111212002000 is an apocalyptic number.

111212002000 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 111212002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146855314944).

111212002000 is an abundant number, since it is smaller than the sum of its proper divisors (182498627888).

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

111212002000 is a wasteful number, since it uses less digits than its factorization.

111212002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6126 (or 6110 counting only the distinct ones).

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

Adding to 111212002000 its reverse (200212111), we get a palindrome (111412214111).

The spelling of 111212002000 in words is "one hundred eleven billion, two hundred twelve million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 991 1000 1100 1375 1982 2000 2200 2750 3964 4400 4955 5101 5500 7928 9910 10202 10901 11000 15856 19820 20404 21802 22000 24775 25505 39640 40808 43604 49550 51010 54505 56111 79280 81616 87208 99100 102020 109010 112222 123875 127525 174416 198200 204040 218020 224444 247750 255050 272525 280555 396400 408080 436040 448888 495500 510100 545050 561110 637625 872080 897776 991000 1020200 1090100 1122220 1275250 1362625 1402775 1982000 2040400 2180200 2244440 2550500 2725250 2805550 4360400 4488880 5055091 5101000 5450500 5611100 7013875 10110182 10202000 10901000 11222200 14027750 20220364 21802000 22444400 25275455 28055500 40440728 50550910 55606001 56111000 80881456 101101820 111212002 112222000 126377275 202203640 222424004 252754550 278030005 404407280 444848008 505509100 556060010 631886375 889696016 1011018200 1112120020 1263772750 1390150025 2022036400 2224240040 2527545500 2780300050 4448480080 5055091000 5560600100 6950750125 10110182000 11121200200 13901500250 22242400400 27803000500 55606001000 111212002000