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113100020203434 = 2311192325931512289
BaseRepresentation
bin11001101101110100100110…
…100001110011111110101010
3112211110020220212110211201020
4121231310212201303332222
5104311012320133002214
61040313233151233310
732552130635466405
oct3155644641637652
9484406825424636
10113100020203434
11330454a3991120
121082765bb18836
134b15394865994
141dd00da836d3c
15d11eced324a9
hex66dd26873faa

113100020203434 has 128 divisors (see below), whose sum is σ = 271149483571200. Its totient is φ = 31045215928320.

The previous prime is 113100020203427. The next prime is 113100020203501. The reversal of 113100020203434 is 434302020001311.

It is a happy number.

It is a super-2 number, since 2×1131000202034342 (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 63 ways as a sum of consecutive naturals, for example, 74031162 + ... + 75543450.

It is an arithmetic number, because the mean of its divisors is an integer number (2118355340400).

Almost surely, 2113100020203434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113100020203434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135574741785600).

113100020203434 is an abundant number, since it is smaller than the sum of its proper divisors (158049463367766).

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

113100020203434 is a wasteful number, since it uses less digits than its factorization.

113100020203434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514940.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 113100020203434 its reverse (434302020001311), we get a palindrome (547402040204745).

The spelling of 113100020203434 in words is "one hundred thirteen trillion, one hundred billion, twenty million, two hundred three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 23 33 38 46 57 66 69 114 138 209 253 418 437 506 627 759 874 1254 1311 1518 2593 2622 4807 5186 7779 9614 14421 15558 28523 28842 49267 57046 59639 85569 98534 119278 147801 171138 178917 295602 357834 541937 656029 1083874 1133141 1312058 1512289 1625811 1968087 2266282 3024578 3251622 3399423 3936174 4536867 6798846 9073734 12464551 16635179 24929102 28733491 33270358 34782647 37393653 49905537 57466982 69565294 74787306 86200473 99811074 104347941 172400946 208695882 316068401 382609117 632136802 660870293 765218234 948205203 1147827351 1321740586 1896410406 1982610879 2295654702 3921365377 3965221758 7269573223 7842730754 11764096131 14539146446 21808719669 23528192262 43135019147 43617439338 74505942163 86270038294 90191403671 129405057441 149011884326 180382807342 223517826489 258810114882 270574211013 447035652978 541148422026 819565363793 992105440381 1639130727586 1713636669749 1984210880762 2458696091379 2976316321143 3427273339498 4917392182758 5140910009247 5952632642286 10281820018494 18850003367239 37700006734478 56550010101717 113100020203434