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11023211320 = 23511218112583
BaseRepresentation
bin10100100010000100…
…01101101100111000
31001110020010011011221
422101002031230320
5140033420230240
65021453401424
7540110515222
oct122102155470
931406104157
1011023211320
114747351900
122177799274
131068993664
14767dd3412
15447b26a4a
hex29108db38

11023211320 has 96 divisors (see below), whose sum is σ = 27414747360. Its totient is φ = 3985977600.

The previous prime is 11023211279. The next prime is 11023211321. The reversal of 11023211320 is 2311232011.

It is a super-2 number, since 2×110232113202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11023211294 and 11023211303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11023211321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 869749 + ... + 882331.

It is an arithmetic number, because the mean of its divisors is an integer number (285570285).

Almost surely, 211023211320 is an apocalyptic number.

11023211320 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 11023211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13707373680).

11023211320 is an abundant number, since it is smaller than the sum of its proper divisors (16391536040).

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

11023211320 is a wasteful number, since it uses less digits than its factorization.

11023211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12797 (or 12782 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11023211320 its reverse (2311232011), we get a palindrome (13334443331).

The spelling of 11023211320 in words is "eleven billion, twenty-three million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 181 220 242 362 440 484 605 724 905 968 1210 1448 1810 1991 2420 3620 3982 4840 7240 7964 9955 12583 15928 19910 21901 25166 39820 43802 50332 62915 79640 87604 100664 109505 125830 138413 175208 219010 251660 276826 438020 503320 553652 692065 876040 1107304 1384130 1522543 2277523 2768260 3045086 4555046 5536520 6090172 7612715 9110092 11387615 12180344 15225430 18220184 22775230 25052753 30450860 45550460 50105506 60901720 91100920 100211012 125263765 200422024 250527530 275580283 501055060 551160566 1002110120 1102321132 1377901415 2204642264 2755802830 5511605660 11023211320