Search a number
-
+
2101310120 = 235721382469
BaseRepresentation
bin111110100111111…
…0111001010101000
312102102222121120202
41331033313022220
513300413410440
6544302211332
7103033561400
oct17517671250
95372877522
102101310120
11989153438
124a7883b48
13276459290
1415d10b800
15c4725615
hex7d3f72a8

2101310120 has 96 divisors (see below), whose sum is σ = 5922995400. Its totient is φ = 665021952.

The previous prime is 2101310119. The next prime is 2101310129. The reversal of 2101310120 is 210131012.

It can be written as a sum of positive squares in 4 ways, for example, as 1916513284 + 184796836 = 43778^2 + 13594^2 .

It is not an unprimeable number, because it can be changed into a prime (2101310129) by changing a digit.

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, 15755 + ... + 66714.

Almost surely, 22101310120 is an apocalyptic number.

2101310120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101310120 is an abundant number, since it is smaller than the sum of its proper divisors (3821685280).

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

2101310120 is a wasteful number, since it uses less digits than its factorization.

2101310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82507 (or 82496 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 2101310120 is about 45840.0493018932. The cubic root of 2101310120 is about 1280.8454131791.

Adding to 2101310120 its reverse (210131012), we get a palindrome (2311441132).

The spelling of 2101310120 in words is "two billion, one hundred one million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 182 196 245 260 280 364 392 455 490 520 637 728 910 980 1274 1820 1960 2548 3185 3640 5096 6370 12740 25480 82469 164938 329876 412345 577283 659752 824690 1072097 1154566 1649380 2144194 2309132 2886415 3298760 4040981 4288388 4618264 5360485 5772830 7504679 8081962 8576776 10720970 11545660 15009358 16163924 20204905 21441940 23091320 30018716 32327848 37523395 40409810 42883880 52532753 60037432 75046790 80819620 105065506 150093580 161639240 210131012 262663765 300187160 420262024 525327530 1050655060 2101310120