Search a number
-
+
11130230040 = 2335924110037
BaseRepresentation
bin10100101110110100…
…11101010100011000
31001201200111021021020
422113122131110120
5140243314330130
65040235242440
7542550252156
oct122732352430
931650437236
1011130230040
1147a17a7626
1221a75a9420
131084bc3a47
147782d03d6
15452215e10
hex29769d518

11130230040 has 64 divisors (see below), whose sum is σ = 33397630560. Its totient is φ = 2967444480.

The previous prime is 11130230029. The next prime is 11130230057. The reversal of 11130230040 is 4003203111.

11130230040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1103902 + ... + 1113938.

Almost surely, 211130230040 is an apocalyptic number.

11130230040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11130230040 is an abundant number, since it is smaller than the sum of its proper divisors (22267400520).

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

11130230040 is a wasteful number, since it uses less digits than its factorization.

11130230040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19292 (or 19288 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11130230040 its reverse (4003203111), we get a palindrome (15133433151).

The spelling of 11130230040 in words is "eleven billion, one hundred thirty million, two hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 9241 10037 18482 20074 27723 30111 36964 40148 46205 50185 55446 60222 73928 80296 92410 100370 110892 120444 138615 150555 184820 200740 221784 240888 277230 301110 369640 401480 554460 602220 1108920 1204440 92751917 185503834 278255751 371007668 463759585 556511502 742015336 927519170 1113023004 1391278755 1855038340 2226046008 2782557510 3710076680 5565115020 11130230040