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3011121103230 = 23251011217272191
BaseRepresentation
bin101011110100010100110…
…011011100000101111110
3101122212020012120212002100
4223310110303130011332
5343313234000300410
610223142343205530
7430355250034422
oct53642463340576
911585205525070
103011121103230
11a610113aa189
124076aa4468a6
1318ac41879666
14a5a4bcccb82
15534d5c558c0
hex2bd14cdc17e

3011121103230 has 96 divisors (see below), whose sum is σ = 7912954603008. Its totient is φ = 794359296000.

The previous prime is 3011121103229. The next prime is 3011121103231. The reversal of 3011121103230 is 323011211103.

3011121103230 is a `hidden beast` number, since 301 + 1 + 121 + 10 + 3 + 230 = 666.

It is an interprime number because it is at equal distance from previous prime (3011121103229) and next prime (3011121103231).

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 (3011121103231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10926435 + ... + 11198625.

It is an arithmetic number, because the mean of its divisors is an integer number (82426610448).

Almost surely, 23011121103230 is an apocalyptic number.

3011121103230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3011121103230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956477301504).

3011121103230 is an abundant number, since it is smaller than the sum of its proper divisors (4901833499778).

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

3011121103230 is a wasteful number, since it uses less digits than its factorization.

3011121103230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273522 (or 273519 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 3011121103230 its reverse (323011211103), we get a palindrome (3334132314333).

The spelling of 3011121103230 in words is "three trillion, eleven billion, one hundred twenty-one million, one hundred three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1217 1515 1818 2434 3030 3651 4545 6085 7302 9090 10953 12170 18255 21906 36510 54765 109530 122917 245834 272191 368751 544382 614585 737502 816573 1106253 1229170 1360955 1633146 1843755 2212506 2449719 2721910 3687510 4082865 4899438 5531265 8165730 11062530 12248595 24497190 27491291 54982582 82473873 137456455 164947746 247421619 274912910 331256447 412369365 494843238 662512894 824738730 993769341 1237108095 1656282235 1987538682 2474216190 2981308023 3312564470 4968846705 5962616046 9937693410 14906540115 29813080230 33456901147 66913802294 100370703441 167284505735 200741406882 301112110323 334569011470 501853517205 602224220646 1003707034410 1505560551615 3011121103230