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1100102002220 = 2251319312171353
BaseRepresentation
bin10000000000100011001…
…100000110011000101100
310220011120000000000110202
4100000203030012120230
5121011002103032340
62201214015453032
7142323360506054
oct20004314063054
93804500000422
101100102002220
1139460699a851
12159259b27178
137c97bc70210
143b360c5a564
151d9398edc15
hex1002330662c

1100102002220 has 96 divisors (see below), whose sum is σ = 2619742130880. Its totient is φ = 384684318720.

The previous prime is 1100102002183. The next prime is 1100102002243. The reversal of 1100102002220 is 222002010011.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15382064 + ... + 15453416.

It is an arithmetic number, because the mean of its divisors is an integer number (27288980530).

Almost surely, 21100102002220 is an apocalyptic number.

1100102002220 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 1100102002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309871065440).

1100102002220 is an abundant number, since it is smaller than the sum of its proper divisors (1519640128660).

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

1100102002220 is a wasteful number, since it uses less digits than its factorization.

1100102002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74515 (or 74513 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1100102002220 its reverse (222002010011), we get a palindrome (1322104012231).

The spelling of 1100102002220 in words is "one trillion, one hundred billion, one hundred two million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1235 2470 3121 4940 6242 12484 15605 31210 40573 59299 62420 71353 81146 118598 142706 162292 202865 237196 285412 296495 356765 405730 592990 713530 770887 811460 927589 1185980 1355707 1427060 1541774 1855178 2711414 3083548 3710356 3854435 4637945 5422828 6778535 7708870 9275890 13557070 15417740 17624191 18551780 27114140 35248382 70496764 88120955 176241910 222692713 352483820 445385426 890770852 1113463565 2226927130 2895005269 4231161547 4453854260 5790010538 8462323094 11580021076 14475026345 16924646188 21155807735 28950052690 42311615470 55005100111 57900105380 84623230940 110010200222 220020400444 275025500555 550051001110 1100102002220