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2002111011000 = 233253222456779
BaseRepresentation
bin11101001000100111000…
…111011001100010111000
321002101210120002022122200
4131020213013121202320
5230300310404323000
64131431311150200
7264435114542052
oct35104707314270
97071716068580
102002111011000
117020aa51a681
12284032b15360
13116a4ba08cc9
146cc8cda48d2
153712d4bc500
hex1d2271d98b8

2002111011000 has 96 divisors (see below), whose sum is σ = 6767135247600. Its totient is φ = 533896267200.

The previous prime is 2002111010989. The next prime is 2002111011001. The reversal of 2002111011000 is 1101112002.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002111011001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111219390 + ... + 111237389.

Almost surely, 22002111011000 is an apocalyptic number.

2002111011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002111011000 is an abundant number, since it is smaller than the sum of its proper divisors (4765024236600).

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

2002111011000 is a wasteful number, since it uses less digits than its factorization.

2002111011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222456806 (or 222456789 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2002111011000 its reverse (1101112002), we get a palindrome (2003212123002).

The spelling of 2002111011000 in words is "two trillion, two billion, one hundred eleven million, eleven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 222456779 444913558 667370337 889827116 1112283895 1334740674 1779654232 2002111011 2224567790 2669481348 3336851685 4004222022 4449135580 5338962696 5561419475 6673703370 8008444044 8898271160 10010555055 11122838950 13347406740 16016888088 16684258425 20021110110 22245677900 26694813480 27807097375 33368516850 40042220220 44491355800 50052775275 55614194750 66737033700 80084440440 83421292125 100105550550 111228389500 133474067400 166842584250 200211101100 222456779000 250263876375 333685168500 400422202200 500527752750 667370337000 1001055505500 2002111011000