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113323032012102 = 231129895531120277
BaseRepresentation
bin11001110001000100010011…
…000100010110010101000110
3112212020120112221112112020120
4121301010103010112111012
5104323141032143341402
61041003514320242410
732604214242544533
oct3161042304262506
9485216487475216
10113323032012102
1133121034277810
121086291a170406
134b30415519b93
141ddac14bdbd8a
15d17bd364a3bc
hex671113116546

113323032012102 has 128 divisors (see below), whose sum is σ = 258698925964800. Its totient is φ = 32777423078400.

The previous prime is 113323032012061. The next prime is 113323032012133. The reversal of 113323032012102 is 201210230323311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 942123588 + ... + 942243864.

It is an arithmetic number, because the mean of its divisors is an integer number (2021085359100).

Almost surely, 2113323032012102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113323032012102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129349462982400).

113323032012102 is an abundant number, since it is smaller than the sum of its proper divisors (145375893952698).

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

113323032012102 is a wasteful number, since it uses less digits than its factorization.

113323032012102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125942.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 113323032012102 its reverse (201210230323311), we get a palindrome (314533262335413).

The spelling of 113323032012102 in words is "one hundred thirteen trillion, three hundred twenty-three billion, thirty-two million, twelve thousand, one hundred two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 89 174 178 267 319 534 638 957 979 1914 1958 2581 2937 5162 5531 5874 7743 11062 15486 16593 28391 33186 56782 60841 85173 120277 121682 160399 170346 182523 240554 320798 360831 365046 481197 492259 721662 962394 984518 1323047 1476777 1764389 2646094 2953554 3488033 3528778 3969141 5293167 5414849 6976066 7938282 10464099 10586334 10704653 10829698 14275511 16244547 20928198 21409306 28551022 32113959 32489094 38368363 42826533 64227918 76736726 85653066 115105089 117751183 157030621 230210178 235502366 310434937 314061242 353253549 471091863 620869874 665252087 706507098 931304811 942183726 1330504174 1862609622 1995756261 3414784307 3991512522 6829568614 7317772957 10244352921 14635545914 19292310523 20488705842 21953318871 38584621046 43906637742 57876931569 59207435743 115753863138 118414871486 177622307229 212215415753 355244614458 424430831506 636646247259 651281793173 1273292494518 1302563586346 1717015636547 1953845379519 3434031273094 3907690759038 5151046909641 10302093819282 18887172002017 37774344004034 56661516006051 113323032012102