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11240121300 = 22352411138087
BaseRepresentation
bin10100111011111011…
…01010001111010100
31002000100021022201220
422131331222033110
5141004432340200
65055202450340
7545353311642
oct123575521724
932010238656
1011240121300
114848834551
1222183639b0
1310a18bb765
14788b38192
1545bbc14a0
hex29df6a3d4

11240121300 has 144 divisors (see below), whose sum is σ = 33613598592. Its totient is φ = 2898022400.

The previous prime is 11240121293. The next prime is 11240121301. The reversal of 11240121300 is 312104211.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11240121300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11240121301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1385857 + ... + 1393943.

It is an arithmetic number, because the mean of its divisors is an integer number (233427768).

Almost surely, 211240121300 is an apocalyptic number.

11240121300 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 11240121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16806799296).

11240121300 is an abundant number, since it is smaller than the sum of its proper divisors (22373477292).

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

11240121300 is a wasteful number, since it uses less digits than its factorization.

11240121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8258 (or 8251 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11240121300 its reverse (312104211), we get a palindrome (11552225511).

The spelling of 11240121300 in words is "eleven billion, two hundred forty million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 113 123 150 164 205 226 246 300 339 410 452 492 565 615 678 820 1025 1130 1230 1356 1695 2050 2260 2460 2825 3075 3390 4100 4633 5650 6150 6780 8087 8475 9266 11300 12300 13899 16174 16950 18532 23165 24261 27798 32348 33900 40435 46330 48522 55596 69495 80870 92660 97044 115825 121305 138990 161740 202175 231650 242610 277980 331567 347475 404350 463300 485220 606525 663134 694950 808700 913831 994701 1213050 1326268 1389900 1657835 1827662 1989402 2426100 2741493 3315670 3655324 3978804 4569155 4973505 5482986 6631340 8289175 9138310 9947010 10965972 13707465 16578350 18276620 19894020 22845775 24867525 27414930 33156700 37467071 45691550 49735050 54829860 68537325 74934142 91383100 99470100 112401213 137074650 149868284 187335355 224802426 274149300 374670710 449604852 562006065 749341420 936676775 1124012130 1873353550 2248024260 2810030325 3746707100 5620060650 11240121300