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3100133220120 = 2332524135732287
BaseRepresentation
bin101101000111001110010…
…101101101111100011000
3101222100222121120220100100
4231013032111231330120
5401243033101020440
610332103113535400
7436656122404326
oct55071625557430
911870877526310
103100133220120
11a95839423052
124209b0414560
13196458b14a01
14aa093914d16
15559954e6230
hex2d1ce56df18

3100133220120 has 96 divisors (see below), whose sum is σ = 10117240024320. Its totient is φ = 823271869440.

The previous prime is 3100133220103. The next prime is 3100133220131. The reversal of 3100133220120 is 210223310013.

3100133220120 is a `hidden beast` number, since 310 + 0 + 1 + 332 + 2 + 0 + 1 + 20 = 666.

It is a super-2 number, since 2×31001332201202 (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 = 3100133220093 and 3100133220102.

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 23 ways as a sum of consecutive naturals, for example, 17779384 + ... + 17952903.

It is an arithmetic number, because the mean of its divisors is an integer number (105387916920).

Almost surely, 23100133220120 is an apocalyptic number.

3100133220120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3100133220120 is an abundant number, since it is smaller than the sum of its proper divisors (7017106804200).

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

3100133220120 is a wasteful number, since it uses less digits than its factorization.

3100133220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35732545 (or 35732538 counting only the distinct ones).

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

Adding to 3100133220120 its reverse (210223310013), we get a palindrome (3310356530133).

The spelling of 3100133220120 in words is "three trillion, one hundred billion, one hundred thirty-three million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 241 360 482 723 964 1205 1446 1928 2169 2410 2892 3615 4338 4820 5784 7230 8676 9640 10845 14460 17352 21690 28920 43380 86760 35732287 71464574 107196861 142929148 178661435 214393722 285858296 321590583 357322870 428787444 535984305 643181166 714645740 857574888 1071968610 1286362332 1429291480 1607952915 2143937220 2572724664 3215905830 4287874440 6431811660 8611481167 12863623320 17222962334 25834443501 34445924668 43057405835 51668887002 68891849336 77503330503 86114811670 103337774004 129172217505 155006661006 172229623340 206675548008 258344435010 310013322012 344459246680 387516652515 516688870020 620026644024 775033305030 1033377740040 1550066610060 3100133220120