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2101341240 = 2332510953551
BaseRepresentation
bin111110100111111…
…1110110000111000
312102110001012021100
41331033332300320
513300420404430
6544303011400
7103034051205
oct17517766070
95373035240
102101341240
11989174859
124a7899b60
1327646a4ab
1415d118cac
15c472e960
hex7d3fec38

2101341240 has 96 divisors (see below), whose sum is σ = 6892142400. Its totient is φ = 555206400.

The previous prime is 2101341199. The next prime is 2101341241. The reversal of 2101341240 is 421431012.

2101341240 is a `hidden beast` number, since 210 + 1 + 3 + 412 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101341241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12465 + ... + 66015.

It is an arithmetic number, because the mean of its divisors is an integer number (71793150).

Almost surely, 22101341240 is an apocalyptic number.

2101341240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101341240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3446071200).

2101341240 is an abundant number, since it is smaller than the sum of its proper divisors (4790801160).

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

2101341240 is a wasteful number, since it uses less digits than its factorization.

2101341240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53677 (or 53670 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2101341240 is about 45840.3887418072. The cubic root of 2101341240 is about 1280.8517361729.

Adding to 2101341240 its reverse (421431012), we get a palindrome (2522772252).

The spelling of 2101341240 in words is "two billion, one hundred one million, three hundred forty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 109 120 180 218 327 360 436 545 654 872 981 1090 1308 1635 1962 2180 2616 3270 3924 4360 4905 6540 7848 9810 13080 19620 39240 53551 107102 160653 214204 267755 321306 428408 481959 535510 642612 803265 963918 1071020 1285224 1606530 1927836 2142040 2409795 3213060 3855672 4819590 5837059 6426120 9639180 11674118 17511177 19278360 23348236 29185295 35022354 46696472 52533531 58370590 70044708 87555885 105067062 116741180 140089416 175111770 210134124 233482360 262667655 350223540 420268248 525335310 700447080 1050670620 2101341240