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11000434210122 = 2373717347938537
BaseRepresentation
bin1010000000010011110011…
…1110010011010101001010
31102221122001011200211121210
42200010330332103111022
52420212342124210442
635221310230113550
72213520005000130
oct240047476232512
942848034624553
1011000434210122
113561292370455
121297b5b1ab8b6
1361a44b382a16
142a05d10c3750
1514122e87919c
hexa013cf9354a

11000434210122 has 128 divisors (see below), whose sum is σ = 25981143289344. Its totient is φ = 3039368859648.

The previous prime is 11000434210121. The next prime is 11000434210127. The reversal of 11000434210122 is 22101243400011.

It is a super-2 number, since 2×110004342101222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (11000434210121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1288555438 + ... + 1288563974.

It is an arithmetic number, because the mean of its divisors is an integer number (202977681948).

Almost surely, 211000434210122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000434210122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12990571644672).

11000434210122 is an abundant number, since it is smaller than the sum of its proper divisors (14980709079222).

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

11000434210122 is a wasteful number, since it uses less digits than its factorization.

11000434210122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13552.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11000434210122 its reverse (22101243400011), we get a palindrome (33101677610133).

The spelling of 11000434210122 in words is "eleven trillion, four hundred thirty-four million, two hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 173 222 259 346 518 519 777 1038 1211 1554 2422 3633 4793 6401 7266 8537 9586 12802 14379 17074 19203 25611 28758 33551 38406 44807 51222 59759 67102 89614 100653 119518 134421 177341 179277 201306 268842 315869 354682 358554 532023 631738 829189 947607 1064046 1241387 1476901 1658378 1895214 2211083 2482774 2487567 2953802 3724161 4422166 4430703 4975134 5804323 6633249 7448322 8861406 10338307 11608646 13266498 17412969 20676614 30679993 31014921 34825938 40917841 54645337 61359986 62029842 81835682 92039979 109290674 122753523 163936011 184079958 214759951 245507046 286424887 327872022 382517359 429519902 572849774 644279853 765034718 859274661 1147552077 1288559706 1513960117 1718549322 2295104154 3027920234 4541880351 7078786493 9083760702 10597720819 14157572986 21195441638 21236359479 31793162457 42472718958 49551505451 63586324914 99103010902 148654516353 261915100241 297309032706 523830200482 785745300723 1571490601446 1833405701687 3666811403374 5500217105061 11000434210122