Search a number
-
+
2102210120 = 235235938729
BaseRepresentation
bin111110101001101…
…0010111001001000
312102111200100011002
41331103102321020
513301131210440
6544333354132
7103044330323
oct17523227110
95374610132
102102210120
1198970863a
124a8038948
132766b2b1a
1415d2a37ba
15c4852115
hex7d4d2e48

2102210120 has 64 divisors (see below), whose sum is σ = 5019408000. Its totient is φ = 790670848.

The previous prime is 2102210119. The next prime is 2102210129. The reversal of 2102210120 is 210122012.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2102210129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34916 + ... + 73644.

It is an arithmetic number, because the mean of its divisors is an integer number (78428250).

Almost surely, 22102210120 is an apocalyptic number.

2102210120 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 2102210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509704000).

2102210120 is an abundant number, since it is smaller than the sum of its proper divisors (2917197880).

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

2102210120 is a wasteful number, since it uses less digits than its factorization.

2102210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38822 (or 38818 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2102210120 is about 45849.8649943487. The cubic root of 2102210120 is about 1281.0282509117.

Adding to 2102210120 its reverse (210122012), we get a palindrome (2312332132).

The spelling of 2102210120 in words is "two billion, one hundred two million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 59 92 115 118 184 230 236 295 460 472 590 920 1180 1357 2360 2714 5428 6785 10856 13570 27140 38729 54280 77458 154916 193645 309832 387290 774580 890767 1549160 1781534 2285011 3563068 4453835 4570022 7126136 8907670 9140044 11425055 17815340 18280088 22850110 35630680 45700220 52555253 91400440 105110506 210221012 262776265 420442024 525552530 1051105060 2102210120