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11443821030 = 23251930721799
BaseRepresentation
bin10101010100001101…
…01101100111100110
31002112112120100020100
422222012231213212
5141414104233110
65131320444530
7553405605465
oct125206554746
932475510210
1011443821030
114942814134
122274619746
131104b6ca45
147a7c009dc
1546ea0bbc0
hex2aa1ad9e6

11443821030 has 96 divisors (see below), whose sum is σ = 31423392000. Its totient is φ = 2881521216.

The previous prime is 11443821023. The next prime is 11443821047. The reversal of 11443821030 is 3012834411.

11443821030 is a `hidden beast` number, since 1 + 1 + 443 + 8 + 210 + 3 + 0 = 666.

It is a super-2 number, since 2×114438210302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11443820985 and 11443821003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 514071 + ... + 535869.

It is an arithmetic number, because the mean of its divisors is an integer number (327327000).

Almost surely, 211443821030 is an apocalyptic number.

11443821030 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 11443821030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15711696000).

11443821030 is an abundant number, since it is smaller than the sum of its proper divisors (19979570970).

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

11443821030 is a wasteful number, since it uses less digits than its factorization.

11443821030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22138 (or 22135 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 11443821030 in words is "eleven billion, four hundred forty-three million, eight hundred twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 307 342 570 614 855 921 1535 1710 1842 2763 3070 4605 5526 5833 9210 11666 13815 17499 21799 27630 29165 34998 43598 52497 58330 65397 87495 104994 108995 130794 174990 196191 217990 262485 326985 392382 414181 524970 653970 828362 980955 1242543 1961910 2070905 2485086 3727629 4141810 6212715 6692293 7455258 12425430 13384586 18638145 20076879 33461465 37276290 40153758 60230637 66922930 100384395 120461274 127153567 200768790 254307134 301153185 381460701 602306370 635767835 762921402 1144382103 1271535670 1907303505 2288764206 3814607010 5721910515 11443821030