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13212231000 = 2335331142067
BaseRepresentation
bin11000100111000001…
…01010010101011000
31021002210010212122220
430103200222111120
5204024312343000
610023011544040
7645261052623
oct142340522530
937083125586
1013212231000
11566aa61781
1226888bb020
13132734c187
148d4a12dba
15524dc51a0
hex31382a558

13212231000 has 128 divisors (see below), whose sum is σ = 42552207360. Its totient is φ = 3409584000.

The previous prime is 13212230989. The next prime is 13212231103. The reversal of 13212231000 is 13221231.

It is a super-2 number, since 2×132122310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 21967 + ... + 164033.

It is an arithmetic number, because the mean of its divisors is an integer number (332439120).

Almost surely, 213212231000 is an apocalyptic number.

13212231000 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 13212231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21276103680).

13212231000 is an abundant number, since it is smaller than the sum of its proper divisors (29339976360).

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

13212231000 is a wasteful number, since it uses less digits than its factorization.

13212231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142122 (or 142108 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13212231000 its reverse (13221231), we get a palindrome (13225452231).

The spelling of 13212231000 in words is "thirteen billion, two hundred twelve million, two hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 248 250 300 310 372 375 465 500 600 620 744 750 775 930 1000 1240 1500 1550 1860 2325 3000 3100 3720 3875 4650 6200 7750 9300 11625 15500 18600 23250 31000 46500 93000 142067 284134 426201 568268 710335 852402 1136536 1420670 1704804 2131005 2841340 3409608 3551675 4262010 4404077 5682680 7103350 8524020 8808154 10655025 13212231 14206700 17048040 17616308 17758375 21310050 22020385 26424462 28413400 35232616 35516750 42620100 44040770 52848924 53275125 66061155 71033500 85240200 88081540 105697848 106550250 110101925 132122310 142067000 176163080 213100500 220203850 264244620 330305775 426201000 440407700 528489240 550509625 660611550 880815400 1101019250 1321223100 1651528875 2202038500 2642446200 3303057750 4404077000 6606115500 13212231000