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313021120202112 = 2737412272824637
BaseRepresentation
bin100011100101100001110100…
…0101011010100010110000000
31112001022112020001211112210110
41013023003220223110112000
5312012014223232431422
63025423530100031320
7122635013110141650
oct10713035053242600
91461275201745713
10313021120202112
1190813569a01703
122b13570b992540
13105879c386cc3a
145742435820360
15262c5e728860c
hex11cb0e8ad4580

313021120202112 has 128 divisors (see below), whose sum is σ = 950266071786240. Its totient is φ = 89432404789248.

The previous prime is 313021120202111. The next prime is 313021120202137. The reversal of 313021120202112 is 211202021120313.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313021120202111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109405858 + ... + 112230494.

It is an arithmetic number, because the mean of its divisors is an integer number (7423953685830).

Almost surely, 2313021120202112 is an apocalyptic number.

313021120202112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

313021120202112 is an abundant number, since it is smaller than the sum of its proper divisors (637244951584128).

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

313021120202112 is a wasteful number, since it uses less digits than its factorization.

313021120202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865888 (or 2865876 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 313021120202112 its reverse (211202021120313), we get a palindrome (524223141322425).

The spelling of 313021120202112 in words is "three hundred thirteen trillion, twenty-one billion, one hundred twenty million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 41227 82454 123681 164908 247362 288589 329816 494724 577178 659632 865767 989448 1154356 1319264 1731534 1978896 2308712 2638528 2824637 3463068 3957792 4617424 5277056 5649274 6926136 7915584 8473911 9234848 11298548 13852272 15831168 16947822 18469696 19772459 22597096 27704544 33895644 36939392 39544918 45194192 55409088 59317377 67791288 79089836 90388384 110818176 118634754 135582576 158179672 180776768 237269508 271165152 316359344 361553536 474539016 542330304 632718688 949078032 1084660608 1265437376 1898156064 2530874752 3796312128 7592624256 116451309599 232902619198 349353928797 465805238396 698707857594 815159167193 931610476792 1397415715188 1630318334386 1863220953584 2445477501579 2794831430376 3260636668772 3726441907168 4890955003158 5589662860752 6521273337544 7452883814336 9781910006316 11179325721504 13042546675088 14905767628672 19563820012632 22358651443008 26085093350176 39127640025264 44717302886016 52170186700352 78255280050528 104340373400704 156510560101056 313021120202112