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1100201100201 = 327314349129533
BaseRepresentation
bin10000000000101001000…
…110001000001110101001
310220011210220110201100100
4100000221012020032221
5121011202440201301
62201231515500013
7142326003023340
oct20005106101651
93804726421310
101100201100201
11394657925605
12159287157609
137c996659288
143b370094b57
151d943476286
hex100291883a9

1100201100201 has 48 divisors (see below), whose sum is σ = 1875237811200. Its totient is φ = 608261546880.

The previous prime is 1100201100199. The next prime is 1100201100233. The reversal of 1100201100201 is 1020011020011.

It is a happy number.

It is not a de Polignac number, because 1100201100201 - 21 = 1100201100199 is a prime.

It is a super-3 number, since 3×11002011002013 (a number of 37 digits) contains 333 as substring.

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 (1100201100001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8428831 + ... + 8558363.

It is an arithmetic number, because the mean of its divisors is an integer number (39067454400).

Almost surely, 21100201100201 is an apocalyptic number.

It is an amenable number.

1100201100201 is a deficient number, since it is larger than the sum of its proper divisors (775036710999).

1100201100201 is a wasteful number, since it uses less digits than its factorization.

1100201100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133926 (or 133923 counting only the distinct ones).

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

Adding to 1100201100201 its reverse (1020011020011), we get a palindrome (2120212120212).

The spelling of 1100201100201 in words is "one trillion, one hundred billion, two hundred one million, one hundred thousand, two hundred one".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 1953 4349 13047 30443 39141 91329 129533 134819 273987 388599 404457 906731 943733 1165797 1213371 2720193 2831199 4015523 8160579 8493597 12046569 28108661 36139707 84325983 252977949 563339017 1690017051 3943373119 5070051153 11830119357 17463509527 35490358071 52390528581 122244566689 157171585743 366733700067 1100201100201