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11240527300 = 2252199416287
BaseRepresentation
bin10100111011111110…
…01101010111000100
31002000101000221122221
422131333031113010
5141010033333200
65055215302124
7545356622422
oct123577152704
932011027587
1011240527300
114848a91592
12221851a944
1310a1a014b2
14788c02112
1545bc5191a
hex29dfcd5c4

11240527300 has 72 divisors (see below), whose sum is σ = 25707104640. Its totient is φ = 4254364800.

The previous prime is 11240527297. The next prime is 11240527327. The reversal of 11240527300 is 372504211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1784757 + ... + 1791043.

It is an arithmetic number, because the mean of its divisors is an integer number (357043120).

Almost surely, 211240527300 is an apocalyptic number.

11240527300 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 11240527300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12853552320).

11240527300 is an abundant number, since it is smaller than the sum of its proper divisors (14466577340).

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

11240527300 is a wasteful number, since it uses less digits than its factorization.

11240527300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7261 (or 7254 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The spelling of 11240527300 in words is "eleven billion, two hundred forty million, five hundred twenty-seven thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 941 950 1882 1900 3764 4705 6287 9410 12574 17879 18820 23525 25148 31435 35758 47050 62870 71516 89395 94100 119453 125740 157175 178790 238906 314350 357580 446975 477812 597265 628700 893950 1194530 1787900 2389060 2986325 5916067 5972650 11832134 11945300 23664268 29580335 59160670 112405273 118321340 147901675 224810546 295803350 449621092 562026365 591606700 1124052730 2248105460 2810131825 5620263650 11240527300