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13212400110 = 23571321122937
BaseRepresentation
bin11000100111000010…
…10011100111101110
31021002210110110122020
430103201103213232
5204024333300420
610023015331010
7645262355640
oct142341234756
937083413566
1013212400110
115670067838
122688980a66
1313273ab140
148d4a58890
15524e0a340
hex3138539ee

13212400110 has 128 divisors (see below), whose sum is σ = 39214070784. Its totient is φ = 2774338560.

The previous prime is 13212400099. The next prime is 13212400111. The reversal of 13212400110 is 1100421231.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13212400110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212400111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 564562 + ... + 587498.

It is an arithmetic number, because the mean of its divisors is an integer number (306359928).

Almost surely, 213212400110 is an apocalyptic number.

13212400110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13212400110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19607035392).

13212400110 is an abundant number, since it is smaller than the sum of its proper divisors (26001670674).

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

13212400110 is a wasteful number, since it uses less digits than its factorization.

13212400110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23178.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 13212400110 its reverse (1100421231), we get a palindrome (14312821341).

The spelling of 13212400110 in words is "thirteen billion, two hundred twelve million, four hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 211 273 390 422 455 546 633 910 1055 1266 1365 1477 2110 2730 2743 2954 3165 4431 5486 6330 7385 8229 8862 13715 14770 16458 19201 22155 22937 27430 38402 41145 44310 45874 57603 68811 82290 96005 114685 115206 137622 160559 192010 229370 288015 298181 321118 344055 481677 576030 596362 688110 802795 894543 963354 1490905 1605590 1789086 2087267 2408385 2981810 4174534 4472715 4816770 4839707 6261801 8945430 9679414 10436335 12523602 14519121 20872670 24198535 29038242 31309005 33877949 48397070 62618010 62916191 67755898 72595605 101633847 125832382 145191210 169389745 188748573 203267694 314580955 338779490 377497146 440413337 508169235 629161910 880826674 943742865 1016338470 1321240011 1887485730 2202066685 2642480022 4404133370 6606200055 13212400110