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11540303500 = 2253112972353
BaseRepresentation
bin10101011111101101…
…10000111010001100
31002210021010011022011
422233312300322030
5142113304203000
65145044431004
7555656650465
oct125766607214
932707104264
1011540303500
114992222910
1222a09a8464
13111bb5146b
147b6957d6c
154782192ba
hex2afdb0e8c

11540303500 has 96 divisors (see below), whose sum is σ = 28443804480. Its totient is φ = 4051712000.

The previous prime is 11540303447. The next prime is 11540303507. The reversal of 11540303500 is 530304511.

It is a happy number.

It is a super-2 number, since 2×115403035002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (11540303507) 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 31 ways as a sum of consecutive naturals, for example, 123324 + ... + 195676.

It is an arithmetic number, because the mean of its divisors is an integer number (296289630).

Almost surely, 211540303500 is an apocalyptic number.

11540303500 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 11540303500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14221902240).

11540303500 is an abundant number, since it is smaller than the sum of its proper divisors (16903500980).

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

11540303500 is a wasteful number, since it uses less digits than its factorization.

11540303500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72412 (or 72400 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The spelling of 11540303500 in words is "eleven billion, five hundred forty million, three hundred three thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 125 145 220 250 275 290 319 500 550 580 638 725 1100 1276 1375 1450 1595 2750 2900 3190 3625 5500 6380 7250 7975 14500 15950 31900 39875 72353 79750 144706 159500 289412 361765 723530 795883 1447060 1591766 1808825 2098237 3183532 3617650 3979415 4196474 7235300 7958830 8392948 9044125 10491185 15917660 18088250 19897075 20982370 23080607 36176500 39794150 41964740 46161214 52455925 79588300 92322428 99485375 104911850 115403035 198970750 209823700 230806070 262279625 397941500 461612140 524559250 577015175 1049118500 1154030350 2308060700 2885075875 5770151750 11540303500