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313231012112100 = 2235222310394506331
BaseRepresentation
bin100011100111000011100011…
…1001101011010011011100100
31112002001120222210111022210110
41013032013013031122123210
5312023434103100041400
63030104201312053020
7122656123324012455
oct10716070715323344
91462046883438713
10313231012112100
1190894587470225
122b16a328234170
13105a1733362694
14574c66756912c
152632ccdd68e50
hex11ce1c735a6e4

313231012112100 has 144 divisors (see below), whose sum is σ = 911222149160960. Its totient is φ = 83073652790400.

The previous prime is 313231012112071. The next prime is 313231012112131. The reversal of 313231012112100 is 1211210132313.

It is a super-2 number, since 2×3132310121121002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67255935 + ... + 71762265.

Almost surely, 2313231012112100 is an apocalyptic number.

313231012112100 is a gapful number since it is divisible by the number (30) 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 313231012112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455611074580480).

313231012112100 is an abundant number, since it is smaller than the sum of its proper divisors (597991137048860).

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

313231012112100 is a wasteful number, since it uses less digits than its factorization.

313231012112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4507610 (or 4507603 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 313231012112100 its reverse (1211210132313), we get a palindrome (314442222244413).

The spelling of 313231012112100 in words is "three hundred thirteen trillion, two hundred thirty-one billion, twelve million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 223 300 446 669 892 1039 1115 1338 2078 2230 2676 3117 3345 4156 4460 5195 5575 6234 6690 10390 11150 12468 13380 15585 16725 20780 22300 25975 31170 33450 51950 62340 66900 77925 103900 155850 231697 311700 463394 695091 926788 1158485 1390182 2316970 2780364 3475455 4506331 4633940 5792425 6950910 9012662 11584850 13518993 13901820 17377275 18025324 22531655 23169700 27037986 34754550 45063310 54075972 67594965 69509100 90126620 112658275 135189930 225316550 270379860 337974825 450633100 675949650 1004911813 1351899300 2009823626 3014735439 4019647252 4682077909 5024559065 6029470878 9364155818 10049118130 12058941756 14046233727 15073677195 18728311636 20098236260 23410389545 25122795325 28092467454 30147354390 46820779090 50245590650 56184934908 60294708780 70231168635 75368385975 93641558180 100491181300 117051947725 140462337270 150736771950 234103895450 280924674540 301473543900 351155843175 468207790900 702311686350 1044103373707 1404623372700 2088206747414 3132310121121 4176413494828 5220516868535 6264620242242 10441033737070 12529240484484 15661550605605 20882067474140 26102584342675 31323101211210 52205168685350 62646202422420 78307753028025 104410337370700 156615506056050 313231012112100