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3000122331030 = 233511291831109
BaseRepresentation
bin101011101010000101001…
…110011100111110010110
3101121210211200110100002000
4223222011032130332112
5343123222304043110
610214123121300130
7426515554024236
oct53520516347626
911553750410060
103000122331030
11a5738792a900
1240553aa94646
13189baac91b26
14a52c725bcc6
155309035a1c0
hex2ba8539cf96

3000122331030 has 96 divisors (see below), whose sum is σ = 8793747093600. Its totient is φ = 727302375360.

The previous prime is 3000122330983. The next prime is 3000122331079. The reversal of 3000122331030 is 301332210003.

3000122331030 is a `hidden beast` number, since 300 + 0 + 1 + 2 + 2 + 331 + 0 + 30 = 666.

It is a super-2 number, since 2×30001223310302 (a number of 26 digits) contains 22 as substring.

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 = 3000122330994 and 3000122331012.

It is a congruent number.

It is an unprimeable number.

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, 45882885 + ... + 45948224.

It is an arithmetic number, because the mean of its divisors is an integer number (91601532225).

Almost surely, 23000122331030 is an apocalyptic number.

3000122331030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3000122331030 is an abundant number, since it is smaller than the sum of its proper divisors (5793624762570).

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

3000122331030 is a wasteful number, since it uses less digits than its factorization.

3000122331030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91831147 (or 91831130 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3000122331030 its reverse (301332210003), we get a palindrome (3301454541033).

The spelling of 3000122331030 in words is "three trillion, one hundred twenty-two million, three hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 121 135 165 198 242 270 297 330 363 495 594 605 726 990 1089 1210 1485 1815 2178 2970 3267 3630 5445 6534 10890 16335 32670 91831109 183662218 275493327 459155545 550986654 826479981 918311090 1010142199 1377466635 1652959962 2020284398 2479439943 2754933270 3030426597 4132399905 4958879886 5050710995 6060853194 8264799810 9091279791 10101421990 11111564189 12397199715 15152132985 18182559582 22223128378 24794399430 27273839373 30304265970 33334692567 45456398955 54547678746 55557820945 66669385134 90912797910 100004077701 111115641890 136369196865 166673462835 200008155402 272738393730 300012233103 333346925670 500020388505 600024466206 1000040777010 1500061165515 3000122331030