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42101310013422 = 231123371877339929
BaseRepresentation
bin10011001001010011110011…
…01000001011111111101110
312112001211211200102210002220
421210221321220023333232
521004241440330412142
6225313024054300210
711603501465334312
oct1144517150137756
9175054750383086
1042101310013422
1112462079a18480
12487b623657666
131a651a0b7122a
14a579ddd95b42
154d0241e512ec
hex264a79a0bfee

42101310013422 has 128 divisors (see below), whose sum is σ = 98449486248960. Its totient is φ = 11872530109440.

The previous prime is 42101310013417. The next prime is 42101310013457. The reversal of 42101310013422 is 22431001310124.

It is a junction number, because it is equal to n+sod(n) for n = 42101310013392 and 42101310013401.

It is a congruent number.

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, 1054384354 + ... + 1054424282.

It is an arithmetic number, because the mean of its divisors is an integer number (769136611320).

Almost surely, 242101310013422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42101310013422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49224743124480).

42101310013422 is an abundant number, since it is smaller than the sum of its proper divisors (56348176235538).

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

42101310013422 is a wasteful number, since it uses less digits than its factorization.

42101310013422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58778.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 42101310013422 its reverse (22431001310124), we get a palindrome (64532311323546).

The spelling of 42101310013422 in words is "forty-two trillion, one hundred one billion, three hundred ten million, thirteen thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 22 23 33 37 46 66 69 74 111 138 222 253 407 506 759 814 851 1221 1518 1702 2442 2553 5106 9361 18722 18773 28083 37546 39929 56166 56319 79858 112638 119787 206503 239574 413006 431779 439219 619509 694601 863558 878438 918367 1239018 1295337 1317657 1389202 1477373 1836734 2083803 2590674 2635314 2755101 2954746 4167606 4432119 4749569 5510202 7640611 8864238 9499138 10102037 14248707 15281222 15975823 16251103 20204074 22921833 28497414 30306111 31951646 32502206 33979579 45843666 47927469 48753309 60612222 67959158 95854938 97506618 101938737 175734053 203877474 351468106 373775369 527202159 747550738 749587117 1054404318 1121326107 1499174234 2242652214 2248761351 4497522702 8245458287 16490916574 17240503691 24736374861 27734723329 34481007382 49472749722 51721511073 55469446658 83204169987 103443022146 166408339974 189645540601 305081956619 379291081202 568936621803 610163913238 637898636567 915245869857 1137873243606 1275797273134 1830491739714 1913695909701 3827391819402 7016885002237 14033770004474 21050655006711 42101310013422