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2106830061 = 337233713099
BaseRepresentation
bin111110110010011…
…1010110011101101
312102211101001112000
41331210322303231
513303322030221
6545020402513
7103131521460
oct17544726355
95384331460
102106830061
11991283676
124a96a6439
1327763c90b
1415db472d7
15c4e65e26
hex7d93aced

2106830061 has 64 divisors (see below), whose sum is σ = 3823104000. Its totient is φ = 1120350528.

The previous prime is 2106830057. The next prime is 2106830071. The reversal of 2106830061 is 1600386012.

It is not a de Polignac number, because 2106830061 - 22 = 2106830057 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 (2106830071) 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, 154290 + ... + 167388.

It is an arithmetic number, because the mean of its divisors is an integer number (59736000).

Almost surely, 22106830061 is an apocalyptic number.

2106830061 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2106830061 is a deficient number, since it is larger than the sum of its proper divisors (1716273939).

2106830061 is a wasteful number, since it uses less digits than its factorization.

2106830061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13175 (or 13169 counting only the distinct ones).

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

The square root of 2106830061 is about 45900.2185288916. The cubic root of 2106830061 is about 1281.9659853969.

The spelling of 2106830061 in words is "two billion, one hundred six million, eight hundred thirty thousand, sixty-one".

Divisors: 1 3 7 9 21 23 27 37 63 69 111 161 189 207 259 333 483 621 777 851 999 1449 2331 2553 4347 5957 6993 7659 13099 17871 22977 39297 53613 91693 117891 160839 275079 301277 353673 484663 825237 903831 1453989 2108939 2475711 2711493 3392641 4361967 6326817 8134479 10177923 11147249 13085901 18980451 30533769 33441747 56941353 78030743 91601307 100325241 234092229 300975723 702276687 2106830061