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2101002011199 = 3271319883115289
BaseRepresentation
bin11110100100101101011…
…110101000001000111111
321102212001102221122011200
4132210231132220020333
5233410323003324244
64245104220350543
7304535534302020
oct36445536501077
97385042848150
102101002011199
11740036953813
1229b2313a5453
1312317b836540
1473990a22c47
15399ba194669
hex1e92d7a823f

2101002011199 has 96 divisors (see below), whose sum is σ = 3932402073600. Its totient is φ = 1049705879040.

The previous prime is 2101002011117. The next prime is 2101002011231. The reversal of 2101002011199 is 9911102001012.

It is not a de Polignac number, because 2101002011199 - 27 = 2101002011071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101002010199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137411547 + ... + 137426835.

It is an arithmetic number, because the mean of its divisors is an integer number (40962521600).

Almost surely, 22101002011199 is an apocalyptic number.

2101002011199 is a deficient number, since it is larger than the sum of its proper divisors (1831400062401).

2101002011199 is a wasteful number, since it uses less digits than its factorization.

2101002011199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24165 (or 24162 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 27.

The spelling of 2101002011199 in words is "two trillion, one hundred one billion, two million, eleven thousand, one hundred ninety-nine".

Divisors: 1 3 7 9 13 19 21 39 57 63 91 117 133 171 247 273 399 741 819 1197 1729 2223 5187 8831 15289 15561 26493 45867 61817 79479 107023 114803 137601 167789 185451 198757 290491 321069 344409 503367 556353 596271 803621 871473 963207 1033227 1174523 1391299 1510101 1788813 2033437 2181257 2410863 2614419 3523569 3776383 4173897 6100311 6543771 7232589 10570707 11329149 12521691 15268799 18300933 19631313 26434681 33987447 45806397 79304043 135017159 137419191 237912129 405051477 945120113 1215154431 1755223067 2565326021 2835360339 5265669201 7695978063 8506081017 12286561469 15797007603 17957282147 23087934189 33349238273 36859684407 53871846441 100047714819 110579053221 161615539323 233444667911 300143144457 700334003733 2101002011199