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113323223003224 = 231379167401205967
BaseRepresentation
bin11001110001000100011110…
…011100111011000001011000
3112212020121001020220212210211
4121301010132130323001120
5104323141430042100344
61041003545302020504
732604222052131133
oct3161043634730130
9485217036825724
10113323223003224
1133121122067213
1210862972117734
134b30445c6b790
141ddac3231721a
15d17be52c5334
hex67111e73b058

113323223003224 has 128 divisors (see below), whose sum is σ = 233692281446400. Its totient is φ = 51203477145600.

The previous prime is 113323223003191. The next prime is 113323223003257. The reversal of 113323223003224 is 422300322323311.

It is an interprime number because it is at equal distance from previous prime (113323223003191) and next prime (113323223003257).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550097889 + ... + 550303855.

It is an arithmetic number, because the mean of its divisors is an integer number (1825720948800).

Almost surely, 2113323223003224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113323223003224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116846140723200).

113323223003224 is an abundant number, since it is smaller than the sum of its proper divisors (120369058443176).

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

113323223003224 is a wasteful number, since it uses less digits than its factorization.

113323223003224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206633 (or 206629 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 113323223003224 its reverse (422300322323311), we get a palindrome (535623545326535).

The spelling of 113323223003224 in words is "one hundred thirteen trillion, three hundred twenty-three billion, two hundred twenty-three million, three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 79 104 158 167 316 334 401 632 668 802 1027 1336 1604 2054 2171 3208 4108 4342 5213 8216 8684 10426 13193 17368 20852 26386 31679 41704 52772 63358 66967 105544 126716 133934 171509 205967 253432 267868 343018 411827 411934 535736 686036 823654 823868 870571 1372072 1647308 1647736 1741142 2677571 3294616 3482284 5290393 5355142 6964568 10580786 10710284 16271393 21161572 21420568 32542786 34396489 42323144 65085572 68775109 68792978 82592767 130171144 137550218 137585956 165185534 211528109 275100436 275171912 330371068 423056218 447154357 550200872 660742136 846112436 894308714 1073705971 1692224872 1788617428 2147411942 2717322631 3577234856 4294823884 5434645262 6524828593 8589647768 10869290524 13049657186 13792992089 21738581048 26099314372 27585984178 35325194203 52198628744 55171968356 70650388406 84822771709 110343936712 141300776812 169645543418 179308897157 282601553624 339291086836 358617794314 678582173672 717235588628 1089646375031 1434471177256 2179292750062 4358585500124 8717171000248 14165402875403 28330805750806 56661611501612 113323223003224