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110141042214210 = 235717265711611529
BaseRepresentation
bin11001000010110000110101…
…101100100100010101000010
3112102222101021121100121222120
4121002300311230210111002
5103414022323301323320
61030130032443545110
732125266462536340
oct3102606554442502
9472871247317876
10110141042214210
113210460aa60297
121042a0a422b196
13495c342a60c47
141d2abd7b48990
15cb004bba3440
hex642c35b24542

110141042214210 has 128 divisors (see below), whose sum is σ = 319992215800320. Its totient is φ = 23685287706624.

The previous prime is 110141042214209. The next prime is 110141042214253. The reversal of 110141042214210 is 12412240141011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3679726 + ... + 15291254.

It is an arithmetic number, because the mean of its divisors is an integer number (2499939185940).

Almost surely, 2110141042214210 is an apocalyptic number.

110141042214210 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 110141042214210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159996107900160).

110141042214210 is an abundant number, since it is smaller than the sum of its proper divisors (209851173586110).

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

110141042214210 is a wasteful number, since it uses less digits than its factorization.

110141042214210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11614220.

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 110141042214210 its reverse (12412240141011), we get a palindrome (122553282355221).

The spelling of 110141042214210 in words is "one hundred ten trillion, one hundred forty-one billion, forty-two million, two hundred fourteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 1190 1785 2657 3570 5314 7971 13285 15942 18599 26570 37198 39855 45169 55797 79710 90338 92995 111594 135507 185990 225845 271014 278985 316183 451690 557970 632366 677535 948549 1355070 1580915 1897098 3161830 4742745 9485490 11611529 23223058 34834587 58057645 69669174 81280703 116115290 162561406 174172935 197395993 243842109 348345870 394791986 406403515 487684218 592187979 812807030 986979965 1184375958 1219210545 1381771951 1973959930 2438421090 2763543902 2960939895 4145315853 5921879790 6908859755 8290631706 13817719510 20726579265 30851832553 41453158530 61703665106 92555497659 154259162765 185110995318 215962827871 308518325530 431925655742 462777488295 524481153401 647888483613 925554976590 1048962306802 1079814139355 1295776967226 1573443460203 2159628278710 2622405767005 3146886920406 3239442418065 3671368073807 5244811534010 6478884836130 7342736147614 7867217301015 11014104221421 15734434602030 18356840369035 22028208442842 36713680738070 55070521107105 110141042214210