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21013010034042 = 23132952118899439
BaseRepresentation
bin1001100011100011110001…
…11111111010110101111010
32202101211020210120010201110
410301301320333322311322
510223234121032042132
6112405124334501150
74266065656156215
oct461617077726572
982354223503643
1021013010034042
1167716273a1084
1224345666647b6
13b95697a55470
1452906c4c277c
152668e38821cc
hex131c78ffad7a

21013010034042 has 128 divisors (see below), whose sum is σ = 46939108608000. Its totient is φ = 6226651791360.

The previous prime is 21013010033989. The next prime is 21013010034103. The reversal of 21013010034042 is 24043001031012.

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, 2226185559 + ... + 2226194997.

It is an arithmetic number, because the mean of its divisors is an integer number (366711786000).

Almost surely, 221013010034042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21013010034042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23469554304000).

21013010034042 is an abundant number, since it is smaller than the sum of its proper divisors (25926098573958).

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

21013010034042 is a wasteful number, since it uses less digits than its factorization.

21013010034042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11896.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 21013010034042 its reverse (24043001031012), we get a palindrome (45056011065054).

The spelling of 21013010034042 in words is "twenty-one trillion, thirteen billion, ten million, thirty-four thousand, forty-two".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 377 521 754 1042 1131 1563 1889 2262 3126 3778 5667 6773 9439 11334 13546 15109 18878 20319 24557 28317 30218 40638 45327 49114 54781 56634 73671 90654 109562 122707 147342 164343 196417 245414 273731 328686 368121 392834 547462 589251 712153 736242 821193 984169 1178502 1424306 1642386 1968338 2136459 2952507 3558503 4272918 4917719 5905014 7117006 9835438 10675509 12794197 14753157 17830271 21351018 25588394 28540901 29506314 35660542 38382591 53490813 57081802 63930347 76765182 85622703 106981626 127860694 142613851 171245406 191791041 231793523 285227702 371031713 383582082 427841553 463587046 517077859 695380569 742063426 855683106 1034155718 1113095139 1390761138 1551233577 1853980063 2226190278 3102467154 3707960126 5561940189 6722012167 9289571191 11123880378 13444024334 18579142382 20166036501 27868713573 40332073002 55737427146 120764425483 241528850966 269397564539 362293276449 538795129078 724586552898 808192693617 1616385387234 3502168339007 7004336678014 10506505017021 21013010034042