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12102100211110 = 25713191913664649
BaseRepresentation
bin1011000000011011110101…
…1000100101010110100110
31120211221122011122020001211
42300012331120211112212
53041240100123223420
641423343355542034
72356230216334330
oct260067530452646
946757564566054
1012102100211110
113946521082668
121435574a5a91a
1369a2b93622a0
142dba5d942450
1515ec0b714e5a
hexb01bd6255a6

12102100211110 has 128 divisors (see below), whose sum is σ = 28369668096000. Its totient is φ = 3609531694080.

The previous prime is 12102100211063. The next prime is 12102100211171. The reversal of 12102100211110 is 1111200120121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 1470066 + ... + 5134714.

It is an arithmetic number, because the mean of its divisors is an integer number (221638032000).

Almost surely, 212102100211110 is an apocalyptic number.

12102100211110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12102100211110 is an abundant number, since it is smaller than the sum of its proper divisors (16267567884890).

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

12102100211110 is a wasteful number, since it uses less digits than its factorization.

12102100211110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664886.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12102100211110 its reverse (1111200120121), we get a palindrome (13213300331231).

The spelling of 12102100211110 in words is "twelve trillion, one hundred two billion, one hundred million, two hundred eleven thousand, one hundred ten".

Divisors: 1 2 5 7 10 13 14 19 26 35 38 65 70 91 95 130 133 182 190 191 247 266 382 455 494 665 910 955 1235 1330 1337 1729 1910 2470 2483 2674 3458 3629 4966 6685 7258 8645 12415 13370 17290 17381 18145 24830 25403 34762 36290 47177 50806 86905 94354 127015 173810 235885 254030 330239 471770 660478 1651195 3302390 3664649 7329298 18323245 25652543 36646490 47640437 51305086 69628331 95280874 128262715 139256662 238202185 256525430 333483059 348141655 476404370 487398317 666966118 696283310 699947959 905168303 974796634 1399895918 1667415295 1810336606 2436991585 3334830590 3499739795 4525841515 4873983170 4899635713 6336178121 6999479590 9051683030 9099323467 9799271426 12672356242 13299011221 18198646934 24498178565 26598022442 31680890605 45496617335 48996357130 63361781210 63695264269 66495056105 90993234670 93093078547 127390528538 132990112210 172887145873 186186157094 318476321345 345774291746 465465392735 636952642690 864435729365 930930785470 1210210021111 1728871458730 2420420042222 6051050105555 12102100211110