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10002002021100 = 2233524080190793
BaseRepresentation
bin1001000110001100010111…
…0001110000101011101100
31022102011220201101110111000
42101203011301300223230
52302333100004133400
633134504543200300
72051422635264435
oct221430561605354
938364821343430
1010002002021100
113206909431111
1211565562a6090
13577252b5c7ab
14268156d9248c
15125295aa4600
hex918c5c70aec

10002002021100 has 144 divisors (see below), whose sum is σ = 32155726519840. Its totient is φ = 2667105792000.

The previous prime is 10002002021069. The next prime is 10002002021161. The reversal of 10002002021100 is 112020020001.

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 47 ways as a sum of consecutive naturals, for example, 110117304 + ... + 110208096.

Almost surely, 210002002021100 is an apocalyptic number.

10002002021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002002021100 is an abundant number, since it is smaller than the sum of its proper divisors (22153724498740).

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

10002002021100 is a wasteful number, since it uses less digits than its factorization.

10002002021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131617 (or 131604 counting only the distinct ones).

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

Adding to 10002002021100 its reverse (112020020001), we get a palindrome (10114022041101).

The spelling of 10002002021100 in words is "ten trillion, two billion, two million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 40801 81602 90793 122403 163204 181586 204005 244806 272379 363172 367209 408010 453965 489612 544758 612015 734418 816020 817137 907930 1020025 1089516 1101627 1224030 1361895 1468836 1634274 1815860 1836045 2040050 2203254 2269825 2448060 2451411 2723790 3060075 3268548 3672090 4080100 4085685 4406508 4539650 4902822 5447580 5508135 6120150 6809475 7344180 8171370 9079300 9180225 9805644 11016270 12240300 12257055 13618950 16342740 18360450 20428425 22032540 24514110 27237900 27540675 36720900 40856850 49028220 55081350 61285275 81713700 110162700 122570550 245141100 3704445193 7408890386 11113335579 14817780772 18522225965 22226671158 33340006737 37044451930 44453342316 55566677895 66680013474 74088903860 92611129825 100020020211 111133355790 133360026948 166700033685 185222259650 200040040422 222266711580 277833389475 333400067370 370444519300 400080080844 500100101055 555666778950 666800134740 833500168425 1000200202110 1111333557900 1667000336850 2000400404220 2500500505275 3334000673700 5001001010550 10002002021100