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112121002000 = 245378008643
BaseRepresentation
bin110100001101011101…
…1101011100000010000
3101201101220110001010201
41220122323223200100
53314110434031000
6123301354104544
711046314535520
oct1503273534020
9351356401121
10112121002000
1143606423327
121989111b154
13a75aa5c287
1455d8b79680
152db340c96a
hex1a1aeeb810

112121002000 has 80 divisors (see below), whose sum is σ = 309838419072. Its totient is φ = 38441481600.

The previous prime is 112121001953. The next prime is 112121002073. The reversal of 112121002000 is 200121211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1121210020002 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3990322 + ... + 4018321.

Almost surely, 2112121002000 is an apocalyptic number.

112121002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112121002000 is an abundant number, since it is smaller than the sum of its proper divisors (197717417072).

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

112121002000 is an equidigital number, since it uses as much as digits as its factorization.

112121002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8008673 (or 8008657 counting only the distinct ones).

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

Adding to 112121002000 its reverse (200121211), we get a palindrome (112321123211).

The spelling of 112121002000 in words is "one hundred twelve billion, one hundred twenty-one million, two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 8008643 16017286 32034572 40043215 56060501 64069144 80086430 112121002 128138288 160172860 200216075 224242004 280302505 320345720 400432150 448484008 560605010 640691440 800864300 896968016 1001080375 1121210020 1401512525 1601728600 2002160750 2242420040 2803025050 3203457200 4004321500 4484840080 5606050100 7007562625 8008643000 11212100200 14015125250 16017286000 22424200400 28030250500 56060501000 112121002000