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10520112240 = 24325111328297
BaseRepresentation
bin10011100110000110…
…00010110001110000
31000011011110001222200
421303003002301300
5133021122042430
64455522303200
7521461323111
oct116303026160
930134401880
1010520112240
114509369040
1220571b7b00
13cb8694ab1
1471b272208
1541889a460
hex2730c2c70

10520112240 has 120 divisors (see below), whose sum is σ = 38541894768. Its totient is φ = 2550328320.

The previous prime is 10520112179. The next prime is 10520112257. The reversal of 10520112240 is 4221102501.

10520112240 is a `hidden beast` number, since 10 + 520 + 112 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×105201122402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 656229 + ... + 672068.

Almost surely, 210520112240 is an apocalyptic number.

10520112240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10520112240 is an abundant number, since it is smaller than the sum of its proper divisors (28021782528).

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

10520112240 is a wasteful number, since it uses less digits than its factorization.

10520112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328327 (or 1328318 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10520112240 its reverse (4221102501), we get a palindrome (14741214741).

It can be divided in two parts, 10520 and 112240, that added together give a triangular number (122760 = T495).

The spelling of 10520112240 in words is "ten billion, five hundred twenty million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 1328297 2656594 3984891 5313188 6641485 7969782 10626376 11954673 13282970 14611267 15939564 19924455 21252752 23909346 26565940 29222534 31879128 39848910 43833801 47818692 53131880 58445068 59773365 63758256 73056335 79697820 87667602 95637384 106263760 116890136 119546730 131501403 146112670 159395640 175335204 191274768 219169005 233780272 239093460 263002806 292225340 318791280 350670408 438338010 478186920 526005612 584450680 657507015 701340816 876676020 956373840 1052011224 1168901360 1315014030 1753352040 2104022448 2630028060 3506704080 5260056120 10520112240