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11240315700 = 22352137491557
BaseRepresentation
bin10100111011111100…
…11001101100110100
31002000100122012101220
422131332121230310
5141010010100300
65055210550340
7545355051465
oct123576315464
932010565356
1011240315700
114848957609
1222184383b0
1310a19590a3
14788b88d6c
1545bc0dda0
hex29df99b34

11240315700 has 144 divisors (see below), whose sum is σ = 32885020224. Its totient is φ = 2964147200.

The previous prime is 11240315693. The next prime is 11240315701. The reversal of 11240315700 is 751304211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11240315701) 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, 20179822 + ... + 20180378.

It is an arithmetic number, because the mean of its divisors is an integer number (228368196).

Almost surely, 211240315700 is an apocalyptic number.

11240315700 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 11240315700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16442510112).

11240315700 is an abundant number, since it is smaller than the sum of its proper divisors (21644704524).

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

11240315700 is a wasteful number, since it uses less digits than its factorization.

11240315700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

Adding to 11240315700 its reverse (751304211), we get a palindrome (11991619911).

The spelling of 11240315700 in words is "eleven billion, two hundred forty million, three hundred fifteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 137 150 274 300 411 491 548 557 685 822 982 1114 1370 1473 1644 1671 1964 2055 2228 2455 2740 2785 2946 3342 3425 4110 4910 5570 5892 6684 6850 7365 8220 8355 9820 10275 11140 12275 13700 13925 14730 16710 20550 24550 27850 29460 33420 36825 41100 41775 49100 55700 67267 73650 76309 83550 134534 147300 152618 167100 201801 228927 269068 273487 305236 336335 381545 403602 457854 546974 672670 763090 807204 820461 915708 1009005 1093948 1144635 1345340 1367435 1526180 1640922 1681675 1907725 2018010 2289270 2734870 3281844 3363350 3815450 4036020 4102305 4578540 5045025 5469740 5723175 6726700 6837175 7630900 8204610 10090050 11446350 13674350 16409220 20180100 20511525 22892700 27348700 37467719 41023050 74935438 82046100 112403157 149870876 187338595 224806314 374677190 449612628 562015785 749354380 936692975 1124031570 1873385950 2248063140 2810078925 3746771900 5620157850 11240315700