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11202100242039 = 337297925870961
BaseRepresentation
bin1010001100000011000100…
…1101001010011001110111
31110122220120121220201021000
42203000301031022121313
52432013400130221124
635454101313054343
72234216325663060
oct243006115123167
943586517821230
1011202100242039
113629869604033
12130b0608573b3
136334798b72a5
142aa282567567
151465d41e26c9
hexa303134a677

11202100242039 has 64 divisors (see below), whose sum is σ = 19868898816000. Its totient is φ = 6102235077120.

The previous prime is 11202100241999. The next prime is 11202100242103. The reversal of 11202100242039 is 93024200120211.

11202100242039 is a `hidden beast` number, since 1 + 1 + 20 + 210 + 0 + 2 + 420 + 3 + 9 = 666.

It is not a de Polignac number, because 11202100242039 - 213 = 11202100233847 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11202100242239) 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, 12502482 + ... + 13368479.

It is an arithmetic number, because the mean of its divisors is an integer number (310451544000).

Almost surely, 211202100242039 is an apocalyptic number.

11202100242039 is a deficient number, since it is larger than the sum of its proper divisors (8666798573961).

11202100242039 is a wasteful number, since it uses less digits than its factorization.

11202100242039 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25871085 (or 25871079 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 11202100242039 in words is "eleven trillion, two hundred two billion, one hundred million, two hundred forty-two thousand, thirty-nine".

Divisors: 1 3 7 9 21 27 29 63 79 87 189 203 237 261 553 609 711 783 1659 1827 2133 2291 4977 5481 6873 14931 16037 20619 48111 61857 144333 432999 25870961 77612883 181096727 232838649 543290181 698515947 750257869 1629870543 2043805919 2250773607 4889611629 5251805083 6131417757 6752320821 14306641433 15755415249 18394253271 20256962463 42919924299 47266245747 55182759813 59270371651 128759772897 141798737241 177811114953 386279318691 414892601557 533433344859 1244677804671 1600300034577 3734033414013 11202100242039