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130122321120 = 25325118214793
BaseRepresentation
bin111100100101111100…
…1010000110011100000
3110102212110002210122200
41321023321100303200
54112442303233440
6135435524533200
712254360323461
oct1711371206340
9412773083580
10130122321120
1150203726870
1221275851200
13c3693320ac
14642582ad68
1535b8976c30
hex1e4be50ce0

130122321120 has 144 divisors (see below), whose sum is σ = 484409972592. Its totient is φ = 31544801280.

The previous prime is 130122321089. The next prime is 130122321137. The reversal of 130122321120 is 21123221031.

130122321120 is a `hidden beast` number, since 1 + 301 + 22 + 321 + 1 + 20 = 666.

130122321120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 130122321093 and 130122321102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4091557 + ... + 4123236.

It is an arithmetic number, because the mean of its divisors is an integer number (3363958143).

Almost surely, 2130122321120 is an apocalyptic number.

130122321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130122321120 is an abundant number, since it is smaller than the sum of its proper divisors (354287651472).

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

130122321120 is a wasteful number, since it uses less digits than its factorization.

130122321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8214825 (or 8214814 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 130122321120 its reverse (21123221031), we get a palindrome (151245542151).

The spelling of 130122321120 in words is "one hundred thirty billion, one hundred twenty-two million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 8214793 16429586 24644379 32859172 41073965 49288758 65718344 73933137 82147930 90362723 98577516 123221895 131436688 147866274 164295860 180725446 197155032 246443790 262873376 271088169 295732548 328591720 361450892 369665685 394310064 451813615 492887580 542176338 591465096 657183440 722901784 739331370 788620128 813264507 903627230 985775160 1084352676 1182930192 1314366880 1355440845 1445803568 1478662740 1626529014 1807254460 1971550320 2168705352 2365860384 2710881690 2891607136 2957325480 3253058028 3614508920 3943100640 4066322535 4337410704 5421763380 5914650960 6506116056 7229017840 8132645070 8674821408 10843526760 11829301920 13012232112 14458035680 16265290140 21687053520 26024464224 32530580280 43374107040 65061160560 130122321120