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112323130020 = 223252953405997
BaseRepresentation
bin110100010011011111…
…0101111001010100100
3101201220222210012122200
41220212332233022210
53320014210130040
6123333414254500
711054320565163
oct1504676571244
9351828705580
10112323130020
11436aa52a082
1219928957430
13a7908b005a
1456179533da
152dc6037630
hex1a26faf2a4

112323130020 has 144 divisors (see below), whose sum is σ = 359113350960. Its totient is φ = 28374248448.

The previous prime is 112323130019. The next prime is 112323130069. The reversal of 112323130020 is 20031323211.

112323130020 is a `hidden beast` number, since 112 + 3 + 231 + 300 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 35141184 + 112287988836 = 5928^2 + 335094^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112323129975 and 112323130002.

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, 73662 + ... + 479658.

It is an arithmetic number, because the mean of its divisors is an integer number (2493842715).

Almost surely, 2112323130020 is an apocalyptic number.

112323130020 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 112323130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179556675480).

112323130020 is an abundant number, since it is smaller than the sum of its proper divisors (246790220940).

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

112323130020 is a wasteful number, since it uses less digits than its factorization.

112323130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406094 (or 406089 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 112323130020 its reverse (20031323211), we get a palindrome (132354453231).

The spelling of 112323130020 in words is "one hundred twelve billion, three hundred twenty-three million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 53 58 60 87 90 106 116 145 159 174 180 212 261 265 290 318 348 435 477 522 530 580 636 795 870 954 1044 1060 1305 1537 1590 1740 1908 2385 2610 3074 3180 4611 4770 5220 6148 7685 9222 9540 13833 15370 18444 23055 27666 30740 46110 55332 69165 92220 138330 276660 405997 811994 1217991 1623988 2029985 2435982 3653973 4059970 4871964 6089955 7307946 8119940 11773913 12179910 14615892 18269865 21517841 23547826 24359820 35321739 36539730 43035682 47095652 58869565 64553523 70643478 73079460 86071364 105965217 107589205 117739130 129107046 141286956 176608695 193660569 211930434 215178410 235478260 258214092 322767615 353217390 387321138 423860868 430356820 529826085 624017389 645535230 706434780 774642276 968302845 1059652170 1248034778 1291070460 1872052167 1936605690 2119304340 2496069556 3120086945 3744104334 3873211380 5616156501 6240173890 7488208668 9360260835 11232313002 12480347780 18720521670 22464626004 28080782505 37441043340 56161565010 112323130020