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1100201002002 = 2322343503122867
BaseRepresentation
bin10000000000101001000…
…101110000010000010010
310220011210220021201122100
4100000221011300100102
5121011202424031002
62201231513421230
7142326002134134
oct20005105602022
93804726251570
101100201002002
11394657868853
1215928710a816
137c99662367b
143b37006b054
151d94345711c
hex10029170412

1100201002002 has 96 divisors (see below), whose sum is σ = 2550338638848. Its totient is φ = 341946890208.

The previous prime is 1100201001973. The next prime is 1100201002009. The reversal of 1100201002002 is 2002001020011.

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

It is not an unprimeable number, because it can be changed into a prime (1100201002009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8892973 + ... + 9015839.

It is an arithmetic number, because the mean of its divisors is an integer number (26566027488).

Almost surely, 21100201002002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100201002002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275169319424).

1100201002002 is an abundant number, since it is smaller than the sum of its proper divisors (1450137636846).

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

1100201002002 is a wasteful number, since it uses less digits than its factorization.

1100201002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123444 (or 123441 counting only the distinct ones).

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

Adding to 1100201002002 its reverse (2002001020011), we get a palindrome (3102202022013).

The spelling of 1100201002002 in words is "one trillion, one hundred billion, two hundred one million, two thousand, two".

Divisors: 1 2 3 6 9 18 23 43 46 69 86 129 138 207 258 387 414 503 774 989 1006 1509 1978 2967 3018 4527 5934 8901 9054 11569 17802 21629 23138 34707 43258 64887 69414 104121 122867 129774 194661 208242 245734 368601 389322 497467 737202 994934 1105803 1492401 2211606 2825941 2984802 4477203 5283281 5651882 8477823 8954406 10566562 15849843 16955646 25433469 31699686 47549529 50866938 61802101 95099058 121515463 123604202 185406303 243030926 364546389 370812606 556218909 729092778 1093639167 1112437818 1421448323 2187278334 2657490343 2842896646 4264344969 5314980686 7972471029 8528689938 12793034907 15944942058 23917413087 25586069814 47834826174 61122277889 122244555778 183366833667 366733667334 550100501001 1100201002002