Search a number
-
+
2101130010 = 233571958511
BaseRepresentation
bin111110100111100…
…1011001100011010
312102102122110112000
41331033023030122
513300342130020
6544254301430
7103032211320
oct17517131432
95372573460
102101130010
11989040091
124a77b7876
132763c52c5
1415d0a1d10
15c46dc090
hex7d3cb31a

2101130010 has 128 divisors (see below), whose sum is σ = 6740582400. Its totient is φ = 454973760.

The previous prime is 2101129999. The next prime is 2101130041. The reversal of 2101130010 is 100311012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2101129974 and 2101130001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6655 + ... + 65165.

It is an arithmetic number, because the mean of its divisors is an integer number (52660800).

Almost surely, 22101130010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101130010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370291200).

2101130010 is an abundant number, since it is smaller than the sum of its proper divisors (4639452390).

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

2101130010 is a wasteful number, since it uses less digits than its factorization.

2101130010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58553 (or 58547 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 2101130010 is about 45838.0847112966. The cubic root of 2101130010 is about 1280.8088170167.

Adding to 2101130010 its reverse (100311012), we get a palindrome (2201441022).

The spelling of 2101130010 in words is "two billion, one hundred one million, one hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 90 95 105 114 126 133 135 171 189 190 210 266 270 285 315 342 378 399 513 570 630 665 798 855 945 1026 1197 1330 1710 1890 1995 2394 2565 3591 3990 5130 5985 7182 11970 17955 35910 58511 117022 175533 292555 351066 409577 526599 585110 819154 877665 1053198 1111709 1228731 1579797 1755330 2047885 2223418 2457462 2632995 3159594 3335127 3686193 4095770 5265990 5558545 6143655 6670254 7372386 7781963 7898985 10005381 11058579 11117090 12287310 15563926 15797970 16675635 18430965 20010762 22117158 23345889 30016143 33351270 36861930 38909815 46691778 50026905 55292895 60032286 70037667 77819630 100053810 110585790 116729445 140075334 150080715 210113001 233458890 300161430 350188335 420226002 700376670 1050565005 2101130010