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11304102540 = 22354714926903
BaseRepresentation
bin10101000011100011…
…01110101010001100
31002011210122220111110
422201301232222030
5141122322240130
65105410052020
7550061200113
oct124161565214
932153586443
1011304102540
114880964605
12223587a010
1310b1c30893
14793430c7a
1546260dab0
hex2a1c6ea8c

11304102540 has 96 divisors (see below), whose sum is σ = 32543078400. Its totient is φ = 2930381056.

The previous prime is 11304102533. The next prime is 11304102599. The reversal of 11304102540 is 4520140311.

It is a super-3 number, since 3×113041025403 (a number of 31 digits) contains 333 as substring.

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, 406729 + ... + 433631.

It is an arithmetic number, because the mean of its divisors is an integer number (338990400).

Almost surely, 211304102540 is an apocalyptic number.

11304102540 is a gapful number since it is divisible by the number (10) 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 11304102540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16271539200).

11304102540 is an abundant number, since it is smaller than the sum of its proper divisors (21238975860).

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

11304102540 is a wasteful number, since it uses less digits than its factorization.

11304102540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27111 (or 27109 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 11304102540 its reverse (4520140311), we get a palindrome (15824242851).

The spelling of 11304102540 in words is "eleven billion, three hundred four million, one hundred two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 149 188 235 282 298 447 470 564 596 705 745 894 940 1410 1490 1788 2235 2820 2980 4470 7003 8940 14006 21009 26903 28012 35015 42018 53806 70030 80709 84036 105045 107612 134515 140060 161418 210090 269030 322836 403545 420180 538060 807090 1264441 1614180 2528882 3793323 4008547 5057764 6322205 7586646 8017094 12025641 12644410 15173292 16034188 18966615 20042735 24051282 25288820 37933230 40085470 48102564 60128205 75866460 80170940 120256410 188401709 240512820 376803418 565205127 753606836 942008545 1130410254 1884017090 2260820508 2826025635 3768034180 5652051270 11304102540