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1101323200230 = 2325112131771997
BaseRepresentation
bin10000000001101011111…
…110100110011011100110
310220021201002220022012200
4100001223332212123212
5121021002214401410
62201535122155330
7142365546513111
oct20015376463346
93807632808180
101101323200230
11395083264a00
1215953aab2b46
137cb14c771a6
143b439107578
151d9abc253c0
hex1006bfa66e6

1101323200230 has 144 divisors (see below), whose sum is σ = 3171448071792. Its totient is φ = 264949027200.

The previous prime is 1101323200193. The next prime is 1101323200231. The reversal of 1101323200230 is 320023231011.

1101323200230 is a `hidden beast` number, since 110 + 1 + 3 + 2 + 320 + 0 + 230 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101323200231) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1040592 + ... + 1812588.

It is an arithmetic number, because the mean of its divisors is an integer number (22023944943).

Almost surely, 21101323200230 is an apocalyptic number.

1101323200230 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 1101323200230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585724035896).

1101323200230 is an abundant number, since it is smaller than the sum of its proper divisors (2070124871562).

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

1101323200230 is a wasteful number, since it uses less digits than its factorization.

1101323200230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772163 (or 772149 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1101323200230 its reverse (320023231011), we get a palindrome (1421346431241).

The spelling of 1101323200230 in words is "one trillion, one hundred one billion, three hundred twenty-three million, two hundred thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 131 165 198 242 262 330 363 393 495 605 655 726 786 990 1089 1179 1210 1310 1441 1815 1965 2178 2358 2882 3630 3930 4323 5445 5895 7205 8646 10890 11790 12969 14410 15851 21615 25938 31702 43230 47553 64845 79255 95106 129690 142659 158510 237765 285318 475530 713295 771997 1426590 1543994 2315991 3859985 4631982 6947973 7719970 8491967 11579955 13895946 16983934 23159910 25475901 34739865 42459835 50951802 69479730 76427703 84919670 93411637 101131607 127379505 152855406 186823274 202263214 254759010 280234911 303394821 382138515 467058185 505658035 560469822 606789642 764277030 840704733 910184463 934116370 1011316070 1112447677 1401174555 1516974105 1681409466 1820368926 2224895354 2802349110 3033948210 3337343031 4203523665 4550922315 5562238385 6674686062 8407047330 9101844630 10012029093 11124476770 12236924447 16686715155 20024058186 24473848894 33373430310 36710773341 50060145465 61184622235 73421546682 100120290930 110132320023 122369244470 183553866705 220264640046 367107733410 550661600115 1101323200230