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2002121100 = 2232527317797
BaseRepresentation
bin111011101010101…
…1111000110001100
312011112100021211100
41313111133012030
513100020333400
6530400223100
7100420514520
oct16725370614
95145307740
102002121100
11938166241
1247a60aa90
1325ba3a955
1414dc8bd80
15bab81100
hex7755f18c

2002121100 has 108 divisors (see below), whose sum is σ = 7172065264. Its totient is φ = 457626240.

The previous prime is 2002121071. The next prime is 2002121129. The reversal of 2002121100 is 11212002.

It is an interprime number because it is at equal distance from previous prime (2002121071) and next prime (2002121129).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 152599 + ... + 165198.

Almost surely, 22002121100 is an apocalyptic number.

2002121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002121100 is an abundant number, since it is smaller than the sum of its proper divisors (5169944164).

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

2002121100 is a wasteful number, since it uses less digits than its factorization.

2002121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317824 (or 317814 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2002121100 is about 44745.0678846284. The cubic root of 2002121100 is about 1260.3662956200.

Adding to 2002121100 its reverse (11212002), we get a palindrome (2013333102).

The spelling of 2002121100 in words is "two billion, two million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 317797 635594 953391 1271188 1588985 1906782 2224579 2860173 3177970 3813564 4449158 4766955 5720346 6355940 6673737 7944925 8898316 9533910 11122895 11440692 13347474 14300865 15889850 19067820 20021211 22245790 23834775 26694948 28601730 31779700 33368685 40042422 44491580 47669550 55614475 57203460 66737370 71504325 80084844 95339100 100106055 111228950 133474740 143008650 166843425 200212110 222457900 286017300 333686850 400424220 500530275 667373700 1001060550 2002121100