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11241200320 = 265723218191
BaseRepresentation
bin10100111100000011…
…10001101011000000
31002000102022010212121
422132001301223000
5141010221402240
65055241534024
7545365424530
oct123601615300
932012263777
1011241200320
1148494011a9
1222187a4314
1310a1ba892c
14788d394c0
1545bd3604a
hex29e071ac0

11241200320 has 112 divisors (see below), whose sum is σ = 31922362368. Its totient is φ = 3686538240.

The previous prime is 11241200317. The next prime is 11241200323. The reversal of 11241200320 is 2300214211.

It is an interprime number because it is at equal distance from previous prime (11241200317) and next prime (11241200323).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11241200294 and 11241200303.

It is not an unprimeable number, because it can be changed into a prime (11241200323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57576 + ... + 160615.

Almost surely, 211241200320 is an apocalyptic number.

11241200320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11241200320 is an abundant number, since it is smaller than the sum of its proper divisors (20681162048).

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

11241200320 is a wasteful number, since it uses less digits than its factorization.

11241200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218238 (or 218228 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11241200320 its reverse (2300214211), we get a palindrome (13541414531).

The spelling of 11241200320 in words is "eleven billion, two hundred forty-one million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 140 160 161 184 224 230 280 320 322 368 448 460 560 644 736 805 920 1120 1288 1472 1610 1840 2240 2576 3220 3680 5152 6440 7360 10304 12880 25760 51520 218191 436382 872764 1090955 1527337 1745528 2181910 3054674 3491056 4363820 5018393 6109348 6982112 7636685 8727640 10036786 12218696 13964224 15273370 17455280 20073572 24437392 25091965 30546740 34910560 35128751 40147144 48874784 50183930 61093480 69821120 70257502 80294288 97749568 100367860 122186960 140515004 160588576 175643755 200735720 244373920 281030008 321177152 351287510 401471440 488747840 562060016 702575020 802942880 1124120032 1405150040 1605885760 2248240064 2810300080 5620600160 11241200320