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13124430214410 = 23517413671710253
BaseRepresentation
bin1011111011111100010100…
…0000000011010100001010
31201110200110002220100110010
42332333011000003110022
53210012313113330120
643525140251532350
72523131421102654
oct276770500032412
951420402810403
1013124430214410
114200048780539
12157b72915a0b6
13742822954218
143353238ad6d4
1517b5e35437e0
hexbefc500350a

13124430214410 has 128 divisors (see below), whose sum is σ = 34258056827904. Its totient is φ = 3204875427840.

The previous prime is 13124430214387. The next prime is 13124430214433. The reversal of 13124430214410 is 1441203442131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13124430214387) and next prime (13124430214433).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6818844 + ... + 8529096.

It is an arithmetic number, because the mean of its divisors is an integer number (267641068968).

Almost surely, 213124430214410 is an apocalyptic number.

13124430214410 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 13124430214410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17129028413952).

13124430214410 is an abundant number, since it is smaller than the sum of its proper divisors (21133626613494).

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

13124430214410 is a wasteful number, since it uses less digits than its factorization.

13124430214410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710688.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 13124430214410 its reverse (1441203442131), we get a palindrome (14565633656541).

The spelling of 13124430214410 in words is "thirteen trillion, one hundred twenty-four billion, four hundred thirty million, two hundred fourteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 41 51 82 85 102 123 170 205 246 255 367 410 510 615 697 734 1101 1230 1394 1835 2091 2202 3485 3670 4182 5505 6239 6970 10455 11010 12478 15047 18717 20910 30094 31195 37434 45141 62390 75235 90282 93585 150470 187170 225705 255799 451410 511598 767397 1278995 1534794 1710253 2557990 3420506 3836985 5130759 7673970 8551265 10261518 17102530 25653795 29074301 51307590 58148602 70120373 87222903 140240746 145371505 174445806 210361119 290743010 350601865 420722238 436114515 627662851 701203730 872229030 1051805595 1192046341 1255325702 1882988553 2103611190 2384092682 3138314255 3576139023 3765977106 5960231705 6276628510 7152278046 9414942765 10670268467 11920463410 17880695115 18829885530 21340536934 25734176891 32010805401 35761390230 51468353782 53351342335 64021610802 77202530673 106702684670 128670884455 154405061346 160054027005 257341768910 320108054010 386012653365 437481007147 772025306730 874962014294 1312443021441 2187405035735 2624886042882 4374810071470 6562215107205 13124430214410