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110142132100 = 2252711131100321
BaseRepresentation
bin110011010010011111…
…0111000111110000100
3101112021222212000221221
41212210332320332010
53301032341211400
6122333144050124
710646265450520
oct1464476707604
9345258760857
10110142132100
11427903a9060
121941a463944
13a503aa2840
14548c020d80
152ce9820c1a
hex19a4fb8f84

110142132100 has 144 divisors (see below), whose sum is σ = 320906710656. Its totient is φ = 31689216000.

The previous prime is 110142132083. The next prime is 110142132109. The reversal of 110142132100 is 1231241011.

It is not an unprimeable number, because it can be changed into a prime (110142132109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 450061 + ... + 650260.

It is an arithmetic number, because the mean of its divisors is an integer number (2228518824).

Almost surely, 2110142132100 is an apocalyptic number.

110142132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110142132100 is an abundant number, since it is smaller than the sum of its proper divisors (210764578556).

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

110142132100 is a wasteful number, since it uses less digits than its factorization.

110142132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100366 (or 1100359 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 110142132100 its reverse (1231241011), we get a palindrome (111373373111).

It can be divided in two parts, 110142 and 132100, that added together give a palindrome (242242).

The spelling of 110142132100 in words is "one hundred ten billion, one hundred forty-two million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 25025 50050 100100 1100321 2200642 4401284 5501605 7702247 11003210 12103531 14304173 15404494 22006420 24207062 27508025 28608346 30808988 38511235 48414124 55016050 57216692 60517655 71520865 77022470 84724717 100129211 110032100 121035310 143041730 154044940 157345903 169449434 192556175 200258422 242070620 286083460 302588275 314691806 338898868 357604325 385112350 400516844 423623585 500646055 605176550 629383612 715208650 770224700 786729515 847247170 1001292110 1101421321 1210353100 1430417300 1573459030 1694494340 2002584220 2118117925 2202842642 2503230275 3146918060 3933647575 4236235850 4405685284 5006460550 5507106605 7867295150 8472471700 10012921100 11014213210 15734590300 22028426420 27535533025 55071066050 110142132100