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111434203104354 = 232132473733208787
BaseRepresentation
bin11001010101100101001100…
…000101111000010001100010
3112121120000011012201022012200
4121111211030011320101202
5104101214221443314404
61033000055521434030
732320566301666164
oct3125451405702142
9477500135638180
10111434203104354
1132562a86628a79
12105b884119b916
134a2427ac95100
141d73630c98934
15cd39d5490839
hex65594c178462

111434203104354 has 144 divisors (see below), whose sum is σ = 267077179953792. Its totient is φ = 33548776739712.

The previous prime is 111434203104331. The next prime is 111434203104397. The reversal of 111434203104354 is 453401302434111.

111434203104354 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 3 + 4 + 203 + 10 + 435 + 4 = 666.

It is a super-2 number, since 2×1114342031043542 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 533617549 + ... + 533826335.

It is an arithmetic number, because the mean of its divisors is an integer number (1854702638568).

Almost surely, 2111434203104354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111434203104354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133538589976896).

111434203104354 is an abundant number, since it is smaller than the sum of its proper divisors (155642976849438).

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

111434203104354 is a wasteful number, since it uses less digits than its factorization.

111434203104354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212601 (or 212585 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 111434203104354 its reverse (453401302434111), we get a palindrome (564835505538465).

The spelling of 111434203104354 in words is "one hundred eleven trillion, four hundred thirty-four billion, two hundred three million, one hundred four thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 39 47 78 94 117 141 169 234 282 338 423 507 611 846 1014 1222 1521 1833 3042 3666 3733 5499 7466 7943 10998 11199 15886 22398 23829 33597 47658 48529 67194 71487 97058 142974 145587 175451 208787 291174 350902 417574 436761 526353 626361 630877 873522 1052706 1252722 1261754 1579059 1879083 1892631 2280863 2714231 3158118 3758166 3785262 4561726 5428462 5677893 6842589 8142693 9812989 11355786 13685178 16285386 19625978 20527767 24428079 29438967 29651219 35285003 41055534 48856158 58877934 59302438 70570006 88316901 88953657 105855009 127568857 176633802 177907314 211710018 255137714 266860971 317565027 382706571 533721942 635130054 765413142 779401871 1148119713 1558803742 1658395141 2296239426 2338205613 3316790282 4676411226 4975185423 7014616839 9950370846 10132224323 14029233678 14925556269 20264448646 29851112538 30396672969 36631887937 60793345938 73263775874 91190018907 109895663811 131718916199 182380037814 219791327622 263437832398 329686991433 395156748597 476214543181 659373982866 790313497194 952429086362 1185470245791 1428643629543 2370940491582 2857287259086 4285930888629 6190789061353 8571861777258 12381578122706 18572367184059 37144734368118 55717101552177 111434203104354