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110331312201123 = 313315997107149027
BaseRepresentation
bin11001000101100010000010…
…101010111101110110100011
3112110122120101211220102202220
4121011202002222331312203
5103430132011410413443
61030353301034042123
732145113524666266
oct3105420252756643
9473576354812686
10110331312201123
1132178279451662
121045ab45279343
1349742762b2810
141d360c78a6cdd
15cb4e85ceaa83
hex645882abdda3

110331312201123 has 128 divisors (see below), whose sum is σ = 169592624087040. Its totient is φ = 63328562933760.

The previous prime is 110331312201023. The next prime is 110331312201137. The reversal of 110331312201123 is 321102213133011.

It is not a de Polignac number, because 110331312201123 - 222 = 110331308006819 is a prime.

It is a super-2 number, since 2×1103313122011232 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110331312201093 and 110331312201102.

It is not an unprimeable number, because it can be changed into a prime (110331312201023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 740269936 + ... + 740418962.

It is an arithmetic number, because the mean of its divisors is an integer number (1324942375680).

Almost surely, 2110331312201123 is an apocalyptic number.

110331312201123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

110331312201123 is a deficient number, since it is larger than the sum of its proper divisors (59261311885917).

110331312201123 is a wasteful number, since it uses less digits than its factorization.

110331312201123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149337.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 110331312201123 its reverse (321102213133011), we get a palindrome (431433525334134).

The spelling of 110331312201123 in words is "one hundred ten trillion, three hundred thirty-one billion, three hundred twelve million, two hundred one thousand, one hundred twenty-three".

Divisors: 1 3 13 31 39 59 93 97 107 177 291 321 403 767 1209 1261 1391 1829 2301 3007 3317 3783 4173 5487 5723 6313 9021 9951 10379 17169 18939 23777 31137 39091 43121 71331 74399 82069 117273 129363 134927 149027 177413 195703 223197 246207 321749 404781 447081 532239 587109 612361 965247 1837083 1937351 2306369 2544139 4182737 4619837 5812053 6919107 7632417 7960693 8792593 12548211 13859511 14455619 15945889 18983191 23882079 26377779 43366857 47837667 56949573 60057881 114303709 180173643 187923047 207296557 246781483 272570383 342911127 448124189 494322559 563769141 621889671 740344449 817711149 852881521 940807451 1344372567 1482967677 1546751233 2558644563 2822422353 3543414979 4640253699 5825614457 6426193267 10630244937 11087459773 12230496863 17476843371 19278579801 20107766029 26439327151 29165030981 33262379319 36691490589 47949288223 60323298087 79317981453 87495092943 91258322747 143847864669 273774968241 343711252963 379145402753 623340746899 1031133758889 1137436208259 1186358195711 1870022240697 2829008005157 3559074587133 8487024015471 36777104067041 110331312201123