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113033424420 = 223257212815581
BaseRepresentation
bin110100101000101010…
…0010010111000100100
3101210202111022220101200
41221101110102320210
53322443024040140
6123532110322500
711111034153300
oct1512124227044
9353674286350
10113033424420
1143a3446a844
1219aa67b9430
13a874ab4cb7
14568400ad00
152e18590030
hex1a51512e24

113033424420 has 108 divisors (see below), whose sum is σ = 398846543004. Its totient is φ = 25836209280.

The previous prime is 113033424409. The next prime is 113033424461. The reversal of 113033424420 is 24424330311.

113033424420 is a `hidden beast` number, since 11 + 303 + 342 + 4 + 4 + 2 + 0 = 666.

113033424420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 81975706596 + 31057717824 = 286314^2 + 176232^2 .

It is a super-3 number, since 3×1130334244203 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6398971 + ... + 6416610.

Almost surely, 2113033424420 is an apocalyptic number.

113033424420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113033424420 is an abundant number, since it is smaller than the sum of its proper divisors (285813118584).

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

113033424420 is a wasteful number, since it uses less digits than its factorization.

113033424420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12815610 (or 12815598 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 113033424420 its reverse (24424330311), we get a palindrome (137457754731).

The spelling of 113033424420 in words is "one hundred thirteen billion, thirty-three million, four hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 12815581 25631162 38446743 51262324 64077905 76893486 89709067 115340229 128155810 153786972 179418134 192233715 230680458 256311620 269127201 358836268 384467430 448545335 461360916 538254402 576701145 627963469 768934860 807381603 897090670 1076508804 1153402290 1255926938 1345636005 1614763206 1794181340 1883890407 2306804580 2511853876 2691272010 3139817345 3229526412 3767780814 4036908015 5382544020 5651671221 6279634690 7535561628 8073816030 9419452035 11303342442 12559269380 16147632060 18838904070 22606684884 28258356105 37677808140 56516712210 113033424420