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113322001000120 = 235116071786323753
BaseRepresentation
bin11001110001000011010101…
…100111010110011010111000
3112212020110220002111200200121
4121301003111213112122320
5104323131424224000440
61041003224130143024
732604146553231643
oct3161032547263270
9485213802450617
10113322001000120
11331206552a21a0
1210862690a21a74
134b302aca42213
141ddab57cdaa5a
15d17b72d9034a
hex6710d59d66b8

113322001000120 has 128 divisors (see below), whose sum is σ = 278639573667840. Its totient is φ = 41136077399040.

The previous prime is 113322001000099. The next prime is 113322001000123. The reversal of 113322001000120 is 21000100223311.

113322001000120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 113322001000094 and 113322001000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113322001000123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4770838164 + ... + 4770861916.

It is an arithmetic number, because the mean of its divisors is an integer number (2176871669280).

Almost surely, 2113322001000120 is an apocalyptic number.

113322001000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113322001000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139319786833920).

113322001000120 is an abundant number, since it is smaller than the sum of its proper divisors (165317572667720).

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

113322001000120 is a wasteful number, since it uses less digits than its factorization.

113322001000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42245 (or 42241 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 113322001000120 its reverse (21000100223311), we get a palindrome (134322101223431).

The spelling of 113322001000120 in words is "one hundred thirteen trillion, three hundred twenty-two billion, one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 607 1214 2428 3035 4856 6070 6677 12140 13354 17863 23753 24280 26708 33385 35726 47506 53416 66770 71452 89315 95012 118765 133540 142904 178630 190024 196493 237530 261283 267080 357260 392986 475060 522566 714520 785972 950120 982465 1045132 1306415 1571944 1964930 2090264 2612830 3929860 5225660 7859720 10451320 10842841 14418071 21685682 28836142 43371364 54214205 57672284 72090355 86742728 108428410 115344568 119271251 144180710 158598781 216856820 238542502 288361420 317197562 424299839 433713640 477085004 576722840 596356255 634395124 792993905 848599678 954170008 1192712510 1268790248 1585987810 1697199356 2121499195 2385425020 3171975620 3394398712 4242998390 4667298229 4770850040 6343951240 8485996780 9334596458 16971993560 18669192916 23336491145 37338385832 46672982290 93345964580 186691929160 257550002273 515100004546 1030200009092 1287750011365 2060400018184 2575500022730 2833050025003 5151000045460 5666100050006 10302000090920 11332200100012 14165250125015 22664400200024 28330500250030 56661000500060 113322001000120