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11012002211001 = 31147181206918959
BaseRepresentation
bin1010000000111110111001…
…1110101110010010111001
31102222201220100221011120210
42200033232132232102321
52420410040031223001
635230502144341333
72214406452246201
oct240175636562271
942881810834523
1011012002211001
113566189190760
12129a249314849
1361b572b8105c
142a0dab5ab401
151416aa214dd6
hexa03ee7ae4b9

11012002211001 has 64 divisors (see below), whose sum is σ = 16457449881600. Its totient is φ = 6492371846400.

The previous prime is 11012002210981. The next prime is 11012002211009. The reversal of 11012002211001 is 10011220021011.

It is not a de Polignac number, because 11012002211001 - 223 = 11011993822393 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11012002211009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 580822960 + ... + 580841918.

It is an arithmetic number, because the mean of its divisors is an integer number (257147654400).

Almost surely, 211012002211001 is an apocalyptic number.

11012002211001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11012002211001 is a deficient number, since it is larger than the sum of its proper divisors (5445447670599).

11012002211001 is a wasteful number, since it uses less digits than its factorization.

11012002211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21270.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11012002211001 its reverse (10011220021011), we get a palindrome (21023222232012).

The spelling of 11012002211001 in words is "eleven trillion, twelve billion, two million, two hundred eleven thousand, one".

Divisors: 1 3 11 33 47 141 181 517 543 1551 1991 2069 5973 6207 8507 18959 22759 25521 56877 68277 93577 97243 208549 280731 291729 374489 625647 891073 1069673 1123467 2673219 3209019 3431579 4119379 9801803 10294737 12358137 17600983 29405409 37747369 39226171 52802949 113242107 117678513 161284213 193610813 431487881 483852639 580832439 1294463643 1774126343 1843630037 5322379029 5530890111 7099936951 20279930407 21299810853 60839791221 78099306461 234297919383 333697036697 1001091110091 3670667403667 11012002211001