Search a number
-
+
311010030030 = 23572509415661
BaseRepresentation
bin1001000011010011010…
…01000111000111001110
31002201202211020111121010
410201221221013013032
520043422031430110
6354513120150050
731320055431300
oct4415151070716
91081684214533
10311010030030
1110a998065877
1250338768326
1323435b5868b
14110a54a3970
158154080020
hex4869a471ce

311010030030 has 96 divisors (see below), whose sum is σ = 869997192480. Its totient is φ = 70948174080.

The previous prime is 311010029971. The next prime is 311010030053. The reversal of 311010030030 is 30030010113.

It is a junction number, because it is equal to n+sod(n) for n = 311010029988 and 311010030015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 540400 + ... + 956060.

It is an arithmetic number, because the mean of its divisors is an integer number (9062470755).

Almost surely, 2311010030030 is an apocalyptic number.

311010030030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 311010030030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434998596240).

311010030030 is an abundant number, since it is smaller than the sum of its proper divisors (558987162450).

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

311010030030 is a wasteful number, since it uses less digits than its factorization.

311010030030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416194 (or 416187 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 311010030030 its reverse (30030010113), we get a palindrome (341040040143).

The spelling of 311010030030 in words is "three hundred eleven billion, ten million, thirty thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 509 735 1018 1470 1527 2545 3054 3563 5090 7126 7635 10689 15270 17815 21378 24941 35630 49882 53445 74823 106890 124705 149646 249410 374115 415661 748230 831322 1246983 2078305 2493966 2909627 4156610 5819254 6234915 8728881 12469830 14548135 17457762 20367389 29096270 40734778 43644405 61102167 87288810 101836945 122204334 203673890 211571449 305510835 423142898 611021670 634714347 1057857245 1269428694 1481000143 2115714490 2962000286 3173571735 4443000429 6347143470 7405000715 8886000858 10367001001 14810001430 20734002002 22215002145 31101003003 44430004290 51835005005 62202006006 103670010010 155505015015 311010030030