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10118843224 = 2371719739757
BaseRepresentation
bin10010110110010000…
…10100101101011000
3222010012101111101021
421123020110231120
5131210410440344
64352025532224
7505516514440
oct113310245530
928105344337
1010118843224
114322906756
121b64944074
13c534ca9c9
146bdc5b120
153e3535b84
hex25b214b58

10118843224 has 128 divisors (see below), whose sum is σ = 24231744000. Its totient is φ = 3856398336.

The previous prime is 10118843221. The next prime is 10118843279. The reversal of 10118843224 is 42234881101.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 10118843224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10118843221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13366654 + ... + 13367410.

It is an arithmetic number, because the mean of its divisors is an integer number (189310500).

Almost surely, 210118843224 is an apocalyptic number.

10118843224 is a gapful number since it is divisible by the number (14) 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 10118843224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12115872000).

10118843224 is an abundant number, since it is smaller than the sum of its proper divisors (14112900776).

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

10118843224 is a wasteful number, since it uses less digits than its factorization.

10118843224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 10118843224 in words is "ten billion, one hundred eighteen million, eight hundred forty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 56 68 76 119 133 136 152 238 266 323 476 532 646 739 757 952 1064 1292 1478 1514 2261 2584 2956 3028 4522 5173 5299 5912 6056 9044 10346 10598 12563 12869 14041 14383 18088 20692 21196 25126 25738 28082 28766 41384 42392 50252 51476 56164 57532 87941 90083 98287 100504 100681 102952 112328 115064 175882 180166 196574 201362 238697 244511 351764 360332 393148 402724 477394 489022 559423 703528 720664 786296 805448 954788 978044 1118846 1670879 1711577 1909576 1956088 2237692 3341758 3423154 3915961 4475384 6683516 6846308 7831922 9510191 10629037 13367032 13692616 15663844 19020382 21258074 31327688 38040764 42516148 66571337 74403259 76081528 85032296 133142674 148806518 180693629 266285348 297613036 361387258 532570696 595226072 722774516 1264855403 1445549032 2529710806 5059421612 10118843224