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12300100312110 = 23513227149393059
BaseRepresentation
bin1011001011111101011100…
…0111000001110000101110
31121112212201010202111212220
42302333113013001300232
53103011101134441420
642054331005140210
72406436644410112
oct262772707016056
947485633674786
1012300100312110
113a12496a66076
121467a1285a666
136b2b82241070
14307484193742
15164e492e6840
hexb2fd71c1c2e

12300100312110 has 128 divisors (see below), whose sum is σ = 31952807631360. Its totient is φ = 3012327661056.

The previous prime is 12300100312069. The next prime is 12300100312121. The reversal of 12300100312110 is 1121300100321.

It is a happy number.

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 12300100312110.

It is a congruent number.

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, 132128761 + ... + 132221819.

It is an arithmetic number, because the mean of its divisors is an integer number (249631309620).

Almost surely, 212300100312110 is an apocalyptic number.

12300100312110 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 12300100312110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15976403815680).

12300100312110 is an abundant number, since it is smaller than the sum of its proper divisors (19652707319250).

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

12300100312110 is a wasteful number, since it uses less digits than its factorization.

12300100312110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94802.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12300100312110 its reverse (1121300100321), we get a palindrome (13421400412431).

The spelling of 12300100312110 in words is "twelve trillion, three hundred billion, one hundred million, three hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 227 390 454 681 1135 1362 1493 2270 2951 2986 3405 4479 5902 6810 7465 8853 8958 14755 14930 17706 19409 22395 29510 38818 44265 44790 58227 88530 93059 97045 116454 186118 194090 279177 291135 338911 465295 558354 582270 677822 930590 1016733 1209767 1395885 1694555 2033466 2419534 2791770 3389110 3629301 4405843 5083665 6048835 7258602 8811686 10167330 12097670 13217529 18146505 21124393 22029215 26435058 36293010 42248786 44058430 63373179 66087645 105621965 126746358 132175290 138937087 211243930 274617109 277874174 316865895 416811261 549234218 633731790 694685435 823851327 833622522 1373085545 1389370870 1647702654 1806182131 2084056305 2746171090 3612364262 4119256635 4168112610 5418546393 8238513270 9030910655 10837092786 18061821310 27092731965 31538718749 54185463930 63077437498 94616156247 157693593745 189232312494 315387187490 410003343737 473080781235 820006687474 946161562470 1230010031211 2050016718685 2460020062422 4100033437370 6150050156055 12300100312110