Search a number
-
+
2130102120 = 2335101181971
BaseRepresentation
bin111111011110110…
…1100011101101000
312111110011101210010
41332331230131220
513330301231440
6551211251520
7103533366156
oct17675543550
95443141703
102130102120
119a3429283
124b5449ba0
1327c3ca473
14162c843d6
15c7011580
hex7ef6c768

2130102120 has 128 divisors (see below), whose sum is σ = 6495914880. Its totient is φ = 558720000.

The previous prime is 2130102083. The next prime is 2130102157. The reversal of 2130102120 is 212010312.

It is an interprime number because it is at equal distance from previous prime (2130102083) and next prime (2130102157).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2130102096 and 2130102105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2193235 + ... + 2194205.

It is an arithmetic number, because the mean of its divisors is an integer number (50749335).

Almost surely, 22130102120 is an apocalyptic number.

2130102120 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 2130102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247957440).

2130102120 is an abundant number, since it is smaller than the sum of its proper divisors (4365812760).

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

2130102120 is a wasteful number, since it uses less digits than its factorization.

2130102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2130102120 is about 46153.0293696958. The cubic root of 2130102120 is about 1286.6689131063.

Adding to 2130102120 its reverse (212010312), we get a palindrome (2342112432).

The spelling of 2130102120 in words is "two billion, one hundred thirty million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 181 202 303 362 404 505 543 606 724 808 905 971 1010 1086 1212 1448 1515 1810 1942 2020 2172 2424 2715 2913 3030 3620 3884 4040 4344 4855 5430 5826 6060 7240 7768 9710 10860 11652 12120 14565 18281 19420 21720 23304 29130 36562 38840 54843 58260 73124 91405 98071 109686 116520 146248 175751 182810 196142 219372 274215 294213 351502 365620 392284 438744 490355 527253 548430 588426 703004 731240 784568 878755 980710 1054506 1096860 1176852 1406008 1471065 1757510 1961420 2109012 2193720 2353704 2636265 2942130 3515020 3922840 4218024 5272530 5884260 7030040 10545060 11768520 17750851 21090120 35501702 53252553 71003404 88754255 106505106 142006808 177508510 213010212 266262765 355017020 426020424 532525530 710034040 1065051060 2130102120