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113132222033310 = 23356128901237673
BaseRepresentation
bin11001101110010010100101…
…111010000010110110011110
3112211120100001001220021212000
4121232102211322002312132
5104312024242320031220
61040340120400223130
732554350632515344
oct3156224572026636
9484510031807760
10113132222033310
1133058118a94567
121083194830aaa6
134b1842715029c
141dd18b3477994
15d12c66dda390
hex66e4a5e82d9e

113132222033310 has 128 divisors (see below), whose sum is σ = 306643496238720. Its totient is φ = 29672873856000.

The previous prime is 113132222033287. The next prime is 113132222033473. The reversal of 113132222033310 is 13330222231311.

113132222033310 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 322 + 2 + 2 + 0 + 3 + 331 + 0 = 666.

It is a super-2 number, since 2×1131322220333102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 475880634 + ... + 476118306.

It is an arithmetic number, because the mean of its divisors is an integer number (2395652314365).

Almost surely, 2113132222033310 is an apocalyptic number.

113132222033310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113132222033310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153321748119360).

113132222033310 is an abundant number, since it is smaller than the sum of its proper divisors (193511274205410).

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

113132222033310 is a wasteful number, since it uses less digits than its factorization.

113132222033310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266651 (or 266645 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 113132222033310 its reverse (13330222231311), we get a palindrome (126462444264621).

The spelling of 113132222033310 in words is "one hundred thirteen trillion, one hundred thirty-two billion, two hundred twenty-two million, thirty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 90 122 135 183 270 305 366 549 610 915 1098 1647 1830 2745 3294 5490 8235 16470 28901 57802 86703 144505 173406 237673 260109 289010 433515 475346 520218 713019 780327 867030 1188365 1300545 1426038 1560654 1762961 2139057 2376730 2601090 3525922 3565095 3901635 4278114 5288883 6417171 7130190 7803270 8814805 10577766 10695285 12834342 14498053 15866649 17629610 21390570 26444415 28996106 31733298 32085855 43494159 47599947 52888830 64171710 72490265 79333245 86988318 95199894 130482477 144980530 158666490 217470795 237999735 260964954 391447431 434941590 475999470 652412385 782894862 1304824770 1957237155 3914474310 6868987373 13737974746 20606962119 34344936865 41213924238 61820886357 68689873730 103034810595 123641772714 185462659071 206069621190 309104431785 370925318142 419008229753 618208863570 838016459506 927313295355 1257024689259 1854626590710 2095041148765 2514049378518 3771074067777 4190082297530 6285123446295 7542148135554 11313222203331 12570246892590 18855370338885 22626444406662 37710740677770 56566111016655 113132222033310