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11303203320 = 23375129209
BaseRepresentation
bin10101000011011100…
…10011000111111000
31002011201222020000000
422201232103013320
5141122110001240
65105334513000
7550050433353
oct124156230770
932151866000
1011303203320
1148803aaa52
122235505760
1310b19a74b6
1479327929a
154624d2430
hex2a1b931f8

11303203320 has 128 divisors (see below), whose sum is σ = 38142792000. Its totient is φ = 3014164224.

The previous prime is 11303203319. The next prime is 11303203333. The reversal of 11303203320 is 2330230311.

11303203320 is a `hidden beast` number, since 1 + 13 + 0 + 320 + 332 + 0 = 666.

11303203320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×113032033203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11303203293 and 11303203302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22876 + ... + 152084.

Almost surely, 211303203320 is an apocalyptic number.

11303203320 is a gapful number since it is divisible by the number (10) 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 11303203320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19071396000).

11303203320 is an abundant number, since it is smaller than the sum of its proper divisors (26839588680).

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

11303203320 is an equidigital number, since it uses as much as digits as its factorization.

11303203320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129241 (or 129219 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 11303203320 its reverse (2330230311), we get a palindrome (13633433631).

The spelling of 11303203320 in words is "eleven billion, three hundred three million, two hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2187 2430 2916 3240 3645 4374 4860 5832 7290 8748 9720 10935 14580 17496 21870 29160 43740 87480 129209 258418 387627 516836 646045 775254 1033672 1162881 1292090 1550508 1938135 2325762 2584180 3101016 3488643 3876270 4651524 5168360 5814405 6977286 7752540 9303048 10465929 11628810 13954572 15505080 17443215 20931858 23257620 27909144 31397787 34886430 41863716 46515240 52329645 62795574 69772860 83727432 94193361 104659290 125591148 139545720 156988935 188386722 209318580 251182296 282580083 313977870 376773444 418637160 470966805 565160166 627955740 753546888 941933610 1130320332 1255911480 1412900415 1883867220 2260640664 2825800830 3767734440 5651601660 11303203320