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12210331000 = 235371991807
BaseRepresentation
bin10110101111100101…
…01101110101111000
31011111221220002020111
423113302231311320
5200001321043000
65335341434104
7611404046440
oct132762556570
934457802214
1012210331000
1151a646044a
12244926b934
1311c78c823a
1483b92d120
154b6e6acba
hex2d7cadd78

12210331000 has 128 divisors (see below), whose sum is σ = 34372915200. Its totient is φ = 3966019200.

The previous prime is 12210330983. The next prime is 12210331027. The reversal of 12210331000 is 13301221.

It is a super-2 number, since 2×122103310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87097 + ... + 178903.

It is an arithmetic number, because the mean of its divisors is an integer number (268538400).

Almost surely, 212210331000 is an apocalyptic number.

12210331000 is a gapful number since it is divisible by the number (10) 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 12210331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17186457600).

12210331000 is an abundant number, since it is smaller than the sum of its proper divisors (22162584200).

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

12210331000 is a wasteful number, since it uses less digits than its factorization.

12210331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91854 (or 91840 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 12210331000 its reverse (13301221), we get a palindrome (12223632221).

The spelling of 12210331000 in words is "twelve billion, two hundred ten million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 125 133 140 152 175 190 200 250 266 280 350 380 475 500 532 665 700 760 875 950 1000 1064 1330 1400 1750 1900 2375 2660 3325 3500 3800 4750 5320 6650 7000 9500 13300 16625 19000 26600 33250 66500 91807 133000 183614 367228 459035 642649 734456 918070 1285298 1744333 1836140 2295175 2570596 3213245 3488666 3672280 4590350 5141192 6426490 6977332 8721665 9180700 11475875 12210331 12852980 13954664 16066225 17443330 18361400 22951750 24420662 25705960 32132450 34886660 43608325 45903500 48841324 61051655 64264900 69773320 80331125 87216650 91807000 97682648 122103310 128529800 160662250 174433300 218041625 244206620 305258275 321324500 348866600 436083250 488413240 610516550 642649000 872166500 1221033100 1526291375 1744333000 2442066200 3052582750 6105165500 12210331000