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120031113312 = 2532113313129
BaseRepresentation
bin110111111001001101…
…0010111000001100000
3102110211011201022221100
41233302122113001200
53431310431111222
6131050323154400
711446324425525
oct1576232270140
9373734638840
10120031113312
11469a5486000
121b31a215a00
13b41b78c006
145b4952514c
1531c7a9e4ac
hex1bf2697060

120031113312 has 144 divisors (see below), whose sum is σ = 375447880080. Its totient is φ = 36372948480.

The previous prime is 120031113287. The next prime is 120031113313. The reversal of 120031113312 is 213311130021.

120031113312 is a `hidden beast` number, since 1 + 20 + 0 + 311 + 1 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1200311133123 (a number of 34 digits) contains 333 as substring.

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 (120031113313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226764 + ... + 539892.

It is an arithmetic number, because the mean of its divisors is an integer number (2607276945).

Almost surely, 2120031113312 is an apocalyptic number.

120031113312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120031113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187723940040).

120031113312 is an abundant number, since it is smaller than the sum of its proper divisors (255416766768).

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

120031113312 is a wasteful number, since it uses less digits than its factorization.

120031113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313178 (or 313145 counting only the distinct ones).

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

Adding to 120031113312 its reverse (213311130021), we get a palindrome (333342243333).

The spelling of 120031113312 in words is "one hundred twenty billion, thirty-one million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1331 1452 1584 1936 2178 2662 2904 3168 3872 3993 4356 5324 5808 7986 8712 10648 11616 11979 15972 17424 21296 23958 31944 34848 42592 47916 63888 95832 127776 191664 313129 383328 626258 939387 1252516 1878774 2505032 2818161 3444419 3757548 5010064 5636322 6888838 7515096 10020128 10333257 11272644 13777676 15030192 20666514 22545288 27555352 30060384 30999771 37888609 41333028 45090576 55110704 61999542 75777218 82666056 90181152 110221408 113665827 123999084 151554436 165332112 227331654 247998168 303108872 330664224 340997481 416774699 454663308 495996336 606217744 681994962 833549398 909326616 991992672 1212435488 1250324097 1363989924 1667098796 1818653232 2500648194 2727979848 3334197592 3637306464 3750972291 5001296388 5455959696 6668395184 7501944582 10002592776 10911919392 13336790368 15003889164 20005185552 30007778328 40010371104 60015556656 120031113312