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331100031111030 = 232514783248859449
BaseRepresentation
bin100101101001000100011101…
…1101111010100111101110110
31121102022212001110020201101100
41023102020323233110331312
5321344220330431023110
63132105130543510530
7126512121300300456
oct11322107357247566
91542285043221340
10331100031111030
1196553809890765
12311754a25b8446
13112997a2bc2c0c
145ba9481467d66
152842a11bd1bc0
hex12d223bbd4f76

331100031111030 has 48 divisors (see below), whose sum is σ = 860918317459200. Its totient is φ = 88287368648064.

The previous prime is 331100031110977. The next prime is 331100031111061. The reversal of 331100031111030 is 30111130001133.

331100031111030 is a `hidden beast` number, since 3 + 311 + 0 + 0 + 0 + 311 + 1 + 10 + 30 = 666.

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 = 331100031110994 and 331100031111012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123099255 + ... + 125760194.

It is an arithmetic number, because the mean of its divisors is an integer number (17935798280400).

Almost surely, 2331100031111030 is an apocalyptic number.

331100031111030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

331100031111030 is an abundant number, since it is smaller than the sum of its proper divisors (529818286348170).

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

331100031111030 is a wasteful number, since it uses less digits than its factorization.

331100031111030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248874245 (or 248874242 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 331100031111030 its reverse (30111130001133), we get a palindrome (361211161112163).

The spelling of 331100031111030 in words is "three hundred thirty-one trillion, one hundred billion, thirty-one million, one hundred eleven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 14783 29566 44349 73915 88698 133047 147830 221745 266094 443490 665235 1330470 248859449 497718898 746578347 1244297245 1493156694 2239735041 2488594490 3732891735 4479470082 7465783470 11198675205 22397350410 3678889234567 7357778469134 11036667703701 18394446172835 22073335407402 33110003111103 36788892345670 55183338518505 66220006222206 110366677037010 165550015555515 331100031111030