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110133101364 = 2231113241120413
BaseRepresentation
bin110011010010001110…
…0011100001100110100
3101112021100212020010020
41212210130130030310
53301023033220424
6122332222325140
710646125626036
oct1464434341464
9345240766106
10110133101364
11427862a0140
12194174297b0
13a501c60200
14548ab4dc56
152ce8b3a079
hex19a471c334

110133101364 has 144 divisors (see below), whose sum is σ = 310968673344. Its totient is φ = 30054835200.

The previous prime is 110133101363. The next prime is 110133101401. The reversal of 110133101364 is 463101331011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110133101363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 854422 + ... + 974834.

It is an arithmetic number, because the mean of its divisors is an integer number (2159504676).

Almost surely, 2110133101364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110133101364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155484336672).

110133101364 is an abundant number, since it is smaller than the sum of its proper divisors (200835571980).

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

110133101364 is a wasteful number, since it uses less digits than its factorization.

110133101364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120498 (or 120483 counting only the distinct ones).

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

Adding to 110133101364 its reverse (463101331011), we get a palindrome (573234432375).

The spelling of 110133101364 in words is "one hundred ten billion, one hundred thirty-three million, one hundred one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 41 44 52 66 78 82 123 132 143 156 164 169 246 286 338 429 451 492 507 533 572 676 858 902 1014 1066 1353 1599 1716 1804 1859 2028 2132 2706 3198 3718 5412 5577 5863 6396 6929 7436 11154 11726 13858 17589 20787 22308 23452 27716 35178 41574 70356 76219 83148 120413 152438 228657 240826 304876 361239 457314 481652 722478 914628 1324543 1444956 1565369 2649086 3130738 3973629 4696107 4936933 5298172 6261476 7947258 9392214 9873866 14810799 15894516 17219059 18784428 19747732 20349797 29621598 34438118 40699594 51657177 54306263 59243196 61049391 64180129 68876236 81399188 103314354 108612526 122098782 128360258 162918789 192540387 206628708 217225052 223847767 244197564 256720516 325837578 385080774 447695534 651675156 671543301 705981419 770161548 834341677 895391068 1343086602 1411962838 1668683354 2117944257 2503025031 2686173204 2823925676 3337366708 4235888514 5006050062 8471777028 9177758447 10012100124 18355516894 27533275341 36711033788 55066550682 110133101364