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2101942855278 = 23271131259117259
BaseRepresentation
bin11110100101100101100…
…011101010011001101110
321102221111000022110121200
4132211211203222121232
5233414234332332103
64245341430110330
7304601050322460
oct36454543523156
97387430273550
102101942855278
11740479a42902
1229b4544ab3a6
1312329b730a06
1473a3d972130
1539a22a8d0a3
hex1e9658ea66e

2101942855278 has 96 divisors (see below), whose sum is σ = 5255086636800. Its totient is φ = 594762594048.

The previous prime is 2101942855231. The next prime is 2101942855297. The reversal of 2101942855278 is 8725582491012.

It is a happy number.

2101942855278 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 94 + 28 + 5 + 527 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 17867013 + ... + 17984271.

It is an arithmetic number, because the mean of its divisors is an integer number (54740485800).

Almost surely, 22101942855278 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101942855278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627543318400).

2101942855278 is an abundant number, since it is smaller than the sum of its proper divisors (3153143781522).

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

2101942855278 is a wasteful number, since it uses less digits than its factorization.

2101942855278 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118646 (or 118643 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 2101942855278 in words is "two trillion, one hundred one billion, nine hundred forty-two million, eight hundred fifty-five thousand, two hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 113 126 226 339 678 791 1017 1259 1582 2034 2373 2518 3777 4746 7119 7554 8813 11331 14238 17626 22662 26439 52878 79317 117259 142267 158634 234518 284534 351777 426801 703554 820813 853602 995869 1055331 1280403 1641626 1991738 2110662 2462439 2560806 2987607 4924878 5975214 7387317 8962821 13250267 14774634 17925642 26500534 39750801 79501602 92751869 119252403 147629081 185503738 238504806 278255607 295258162 442887243 556511214 834766821 885774486 1033403567 1328661729 1669533642 2066807134 2657323458 3100210701 6200421402 9300632103 16682086153 18601264206 33364172306 50046258459 100092516918 116774603071 150138775377 233549206142 300277550754 350323809213 700647618426 1050971427639 2101942855278