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2101671385 = 511214892333
BaseRepresentation
bin111110101000100…
…1111010111011001
312102110122222010221
41331101033113121
513301011441020
6544314040041
7103036624552
oct17521172731
95373588127
102101671385
1198937a900
124a7a19021
13276554848
1415d1a3329
15c47976aa
hex7d44f5d9

2101671385 has 24 divisors (see below), whose sum is σ = 2775172680. Its totient is φ = 1526807040.

The previous prime is 2101671367. The next prime is 2101671419. The reversal of 2101671385 is 5831761012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16744464 + 2084926921 = 4092^2 + 45661^2 .

It is not a de Polignac number, because 2101671385 - 211 = 2101669337 is a prime.

It is a super-2 number, since 2×21016713852 = 8834045221055636450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2101671385.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 899679 + ... + 902011.

It is an arithmetic number, because the mean of its divisors is an integer number (115632195).

Almost surely, 22101671385 is an apocalyptic number.

It is an amenable number.

2101671385 is a deficient number, since it is larger than the sum of its proper divisors (673501295).

2101671385 is a wasteful number, since it uses less digits than its factorization.

2101671385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849 (or 3838 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 2101671385 is about 45843.9896278673. The cubic root of 2101671385 is about 1280.9188115316.

The spelling of 2101671385 in words is "two billion, one hundred one million, six hundred seventy-one thousand, three hundred eighty-five".

Divisors: 1 5 11 55 121 605 1489 2333 7445 11665 16379 25663 81895 128315 180169 282293 900845 1411465 3473837 17369185 38212207 191061035 420334277 2101671385