Search a number
-
+
11052306112110 = 23519163293405997
BaseRepresentation
bin1010000011010101000011…
…0001111001111001101110
31110010120221012211111000220
42200311100301321321232
52422040110331041420
635301205341032210
72220334306615104
oct240652061717156
943116835744026
1011052306112110
11358129073813a
1212a6016b55666
136222c6b98c53
142a2d12285c74
1514276872b840
hexa0d50c79e6e

11052306112110 has 128 divisors (see below), whose sum is σ = 28188863377920. Its totient is φ = 2765553808896.

The previous prime is 11052306112093. The next prime is 11052306112147. The reversal of 11052306112110 is 1121160325011.

11052306112110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 27019632 + ... + 27425628.

It is an arithmetic number, because the mean of its divisors is an integer number (220225495140).

Almost surely, 211052306112110 is an apocalyptic number.

11052306112110 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 11052306112110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14094431688960).

11052306112110 is an abundant number, since it is smaller than the sum of its proper divisors (17136557265810).

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

11052306112110 is a wasteful number, since it uses less digits than its factorization.

11052306112110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406482.

The product of its (nonzero) digits is 360, while the sum is 24.

Adding to 11052306112110 its reverse (1121160325011), we get a palindrome (12173466437121).

The spelling of 11052306112110 in words is "eleven trillion, fifty-two billion, three hundred six million, one hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 163 190 285 293 326 489 570 586 815 879 978 1465 1630 1758 2445 2930 3097 4395 4890 5567 6194 8790 9291 11134 15485 16701 18582 27835 30970 33402 46455 47759 55670 83505 92910 95518 143277 167010 238795 286554 405997 477590 716385 811994 907421 1217991 1432770 1814842 2029985 2435982 2722263 4059970 4537105 5444526 6089955 7713943 9074210 12179910 13611315 15427886 23141829 27222630 38569715 46283658 66177511 77139430 115709145 118957121 132355022 198532533 231418290 237914242 330887555 356871363 397065066 594785605 661775110 713742726 992662665 1189571210 1257372709 1784356815 1985325330 2260185299 2514745418 3568713630 3772118127 4520370598 6286863545 6780555897 7544236254 11300926495 12573727090 13561111794 18860590635 19390010723 22601852990 33902779485 37721181270 38780021446 58170032169 67805558970 96950053615 116340064338 193900107230 290850160845 368410203737 581700321690 736820407474 1105230611211 1842051018685 2210461222422 3684102037370 5526153056055 11052306112110