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2101339845 = 3251121013821
BaseRepresentation
bin111110100111111…
…1110011011000101
312102110001010100200
41331033332123011
513300420333340
6544303001113
7103034044143
oct17517763305
95373033320
102101339845
11989173800
124a7899199
13276469977
1415d118593
15c472e330
hex7d3fe6c5

2101339845 has 72 divisors (see below), whose sum is σ = 4044241656. Its totient is φ = 1008480000.

The previous prime is 2101339769. The next prime is 2101339847. The reversal of 2101339845 is 5489331012.

2101339845 is a `hidden beast` number, since 210 + 13 + 398 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1175598369 + 925741476 = 34287^2 + 30426^2 .

It is not a de Polignac number, because 2101339845 - 210 = 2101338821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101339847) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 548035 + ... + 551855.

It is an arithmetic number, because the mean of its divisors is an integer number (56170023).

Almost surely, 22101339845 is an apocalyptic number.

It is an amenable number.

2101339845 is a deficient number, since it is larger than the sum of its proper divisors (1942901811).

2101339845 is a wasteful number, since it uses less digits than its factorization.

2101339845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2101339845 is about 45840.3735259651. The cubic root of 2101339845 is about 1280.8514527366.

The spelling of 2101339845 in words is "two billion, one hundred one million, three hundred thirty-nine thousand, eight hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 101 121 165 303 363 495 505 605 909 1089 1111 1515 1815 3333 3821 4545 5445 5555 9999 11463 12221 16665 19105 34389 36663 42031 49995 57315 61105 109989 126093 171945 183315 210155 378279 385921 462341 549945 630465 1157763 1387023 1891395 1929605 2311705 3473289 4161069 4245131 5788815 6935115 12735393 17366445 20805345 21225655 38206179 46696441 63676965 140089323 191030895 233482205 420267969 700446615 2101339845