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113013241043004 = 223217416761666167
BaseRepresentation
bin11001101100100011110010…
…000101100101100000111100
3112211010221221002011201212100
4121230203302011211200330
5104303102104201334004
61040205322144505100
732542636316006601
oct3154436205454074
9484127832151770
10113013241043004
1133011712357515
121081288191b190
134b0a1450ca843
141dc9c275ca6a8
15d0eb0161d739
hex66c8f216583c

113013241043004 has 144 divisors (see below), whose sum is σ = 309900388988736. Its totient is φ = 34585206988800.

The previous prime is 113013241042991. The next prime is 113013241043051. The reversal of 113013241043004 is 400340142310311.

113013241043004 is a `hidden beast` number, since 1 + 1 + 30 + 1 + 324 + 1 + 0 + 4 + 300 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169313929 + ... + 169980095.

It is an arithmetic number, because the mean of its divisors is an integer number (2152086034644).

Almost surely, 2113013241043004 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 113013241043004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154950194494368).

113013241043004 is an abundant number, since it is smaller than the sum of its proper divisors (196887147945732).

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

113013241043004 is a wasteful number, since it uses less digits than its factorization.

113013241043004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672996 (or 672991 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 113013241043004 its reverse (400340142310311), we get a palindrome (513353383353315).

The spelling of 113013241043004 in words is "one hundred thirteen trillion, thirteen billion, two hundred forty-one million, forty-three thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 51 68 82 102 123 153 164 204 246 306 369 492 612 697 738 1394 1476 2091 2788 4182 6273 6761 8364 12546 13522 20283 25092 27044 40566 60849 81132 114937 121698 229874 243396 277201 344811 459748 554402 666167 689622 831603 1034433 1108804 1332334 1379244 1663206 1998501 2068866 2494809 2664668 3326412 3997002 4137732 4712417 4989618 5995503 7994004 9424834 9979236 11324839 11991006 14137251 18849668 22649678 23982012 27312847 28274502 33974517 42411753 45299356 54625694 56549004 67949034 81938541 84823506 101923551 109251388 135898068 163877082 169647012 203847102 245815623 327754164 407694204 464318399 491631246 928636798 983262492 1392955197 1857273596 2785910394 4178865591 4503955087 5571820788 8357731182 9007910174 13511865261 16715462364 18015820348 27023730522 40535595783 54047461044 76567236479 81071191566 153134472958 162142383132 184662158567 229701709437 306268945916 369324317134 459403418874 553986475701 689105128311 738648634268 918806837748 1107972951402 1378210256622 1661959427103 2215945902804 2756420513244 3139256695639 3323918854206 6278513391278 6647837708412 9417770086917 12557026782556 18835540173834 28253310260751 37671080347668 56506620521502 113013241043004