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11100529272 = 2337893372203
BaseRepresentation
bin10100101011010010…
…01010001001111000
31001122121121022110210
422111221022021320
5140213213414042
65033254511120
7542036641050
oct122551121170
931577538423
1011100529272
114786a60a38
1221996654a0
13107b9c5021
1477439c560
1544e7eaa9c
hex295a4a278

11100529272 has 128 divisors (see below), whose sum is σ = 32181926400. Its totient is φ = 3125219328.

The previous prime is 11100529267. The next prime is 11100529339. The reversal of 11100529272 is 27292500111.

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, 5037723 + ... + 5039925.

It is an arithmetic number, because the mean of its divisors is an integer number (251421300).

Almost surely, 211100529272 is an apocalyptic number.

11100529272 is a gapful number since it is divisible by the number (12) 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 11100529272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16090963200).

11100529272 is an abundant number, since it is smaller than the sum of its proper divisors (21081397128).

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

11100529272 is a wasteful number, since it uses less digits than its factorization.

11100529272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The spelling of 11100529272 in words is "eleven billion, one hundred million, five hundred twenty-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 89 168 178 267 337 356 534 623 674 712 1011 1068 1246 1348 1869 2022 2136 2203 2359 2492 2696 3738 4044 4406 4718 4984 6609 7077 7476 8088 8812 9436 13218 14154 14952 15421 17624 18872 26436 28308 29993 30842 46263 52872 56616 59986 61684 89979 92526 119972 123368 179958 185052 196067 209951 239944 359916 370104 392134 419902 588201 629853 719832 742411 784268 839804 1176402 1259706 1372469 1484822 1568536 1679608 2227233 2352804 2519412 2744938 2969644 4117407 4454466 4705608 5038824 5196877 5489876 5939288 8234814 8908932 10393754 10979752 15590631 16469628 17817864 20787508 31181262 32939256 41575016 62362524 66074579 124725048 132149158 198223737 264298316 396447474 462522053 528596632 792894948 925044106 1387566159 1585789896 1850088212 2775132318 3700176424 5550264636 11100529272