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12310010312100 = 223521512111287887
BaseRepresentation
bin1011001100100010010111…
…0010101011010110100100
31121120211021210011200012120
42303020211302223112210
53103141400114441400
642103050214545540
72410240350126264
oct263104562532644
947524253150176
1012310010312100
113a16711999806
1214699196682b0
136b3aa13a9597
14307b443a97a4
15165329327ca0
hexb3225cab5a4

12310010312100 has 144 divisors (see below), whose sum is σ = 36022783727616. Its totient is φ = 3245472720000.

The previous prime is 12310010312057. The next prime is 12310010312137. The reversal of 12310010312100 is 121301001321.

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 12310010312100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8914357 + ... + 10202243.

Almost surely, 212310010312100 is an apocalyptic number.

12310010312100 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 12310010312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18011391863808).

12310010312100 is an abundant number, since it is smaller than the sum of its proper divisors (23712773415516).

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

12310010312100 is a wasteful number, since it uses less digits than its factorization.

12310010312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288266 (or 1288259 counting only the distinct ones).

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

Adding to 12310010312100 its reverse (121301001321), we get a palindrome (12431311313421).

The spelling of 12310010312100 in words is "twelve trillion, three hundred ten billion, ten million, three hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 151 211 300 302 422 453 604 633 755 844 906 1055 1266 1510 1812 2110 2265 2532 3020 3165 3775 4220 4530 5275 6330 7550 9060 10550 11325 12660 15100 15825 21100 22650 31650 31861 45300 63300 63722 95583 127444 159305 191166 318610 382332 477915 637220 796525 955830 1287887 1593050 1911660 2389575 2575774 3186100 3863661 4779150 5151548 6439435 7727322 9558300 12878870 15454644 19318305 25757740 32197175 38636610 64394350 77273220 96591525 128788700 193183050 194470937 271744157 386366100 388941874 543488314 583412811 777883748 815232471 972354685 1086976628 1166825622 1358720785 1630464942 1944709370 2333651244 2717441570 2917064055 3260929884 3889418740 4076162355 4861773425 5434883140 5834128110 6793603925 8152324710 9723546850 11668256220 13587207850 14585320275 16304649420 19447093700 20380811775 27174415700 29170640550 40761623550 41033367707 58341281100 81523247100 82066735414 123100103121 164133470828 205166838535 246200206242 410333677070 492400412484 615500515605 820667354140 1025834192675 1231001031210 2051668385350 2462002062420 3077502578025 4103336770700 6155005156050 12310010312100