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11001002002212 = 22317297126190617
BaseRepresentation
bin1010000000010101111011…
…0100010000011100100100
31102221200111202002122221110
42200011132310100130210
52420220023003032322
635221442431545020
72213540041103505
oct240053664203444
942850452078843
1011001002002212
113561553920012
12129809938b170
1361a50bbb2681
142a0646684bac
15141264633c0c
hexa015ed10724

11001002002212 has 96 divisors (see below), whose sum is σ = 28512154379520. Its totient is φ = 3285350871040.

The previous prime is 11001002002063. The next prime is 11001002002219. The reversal of 11001002002212 is 21220020010011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11001002002219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12675273 + ... + 13515344.

It is an arithmetic number, because the mean of its divisors is an integer number (297001608120).

Almost surely, 211001002002212 is an apocalyptic number.

11001002002212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11001002002212 is an abundant number, since it is smaller than the sum of its proper divisors (17511152377308).

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

11001002002212 is a wasteful number, since it uses less digits than its factorization.

11001002002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26190741 (or 26190739 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11001002002212 its reverse (21220020010011), we get a palindrome (32221022012223).

The spelling of 11001002002212 in words is "eleven trillion, one billion, two million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 71 87 102 116 142 174 204 213 284 348 426 493 852 986 1207 1479 1972 2059 2414 2958 3621 4118 4828 5916 6177 7242 8236 12354 14484 24708 35003 70006 105009 140012 210018 420036 26190617 52381234 78571851 104762468 157143702 314287404 445240489 759527893 890480978 1335721467 1519055786 1780961956 1859533807 2278583679 2671442934 3038111572 3719067614 4557167358 5342885868 5578601421 7438135228 9114334716 11157202842 12911974181 22314405684 25823948362 31612074719 38735922543 51647896724 53926480403 63224149438 77471845086 94836224157 107852960806 126448298876 154943690172 161779441209 189672448314 215705921612 323558882418 379344896628 647117764836 916750166851 1833500333702 2750250500553 3667000667404 5500501001106 11001002002212