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130223222232120 = 23325543766531391
BaseRepresentation
bin11101100110111111110100…
…111001110001010000111000
3122002002012220021000121000100
4131212333310321301100320
5114032034124342411440
61140543420013035400
736300213562316223
oct3546776471612070
9562065807017010
10130223222232120
11385473a40460a6
1212732171785b60
135787cc6a02bc4
142422ba249a5ba
15100c6115c9230
hex766ff4e71438

130223222232120 has 96 divisors (see below), whose sum is σ = 423303320344320. Its totient is φ = 34719805059840.

The previous prime is 130223222232097. The next prime is 130223222232127. The reversal of 130223222232120 is 21232222322031.

130223222232120 is a `hidden beast` number, since 1 + 3 + 0 + 223 + 2 + 2 + 223 + 212 + 0 = 666.

It is a super-2 number, since 2×1302232222321202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130223222232127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31308376 + ... + 35223015.

It is an arithmetic number, because the mean of its divisors is an integer number (4409409586920).

Almost surely, 2130223222232120 is an apocalyptic number.

130223222232120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130223222232120 is an abundant number, since it is smaller than the sum of its proper divisors (293080098112200).

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

130223222232120 is a wasteful number, since it uses less digits than its factorization.

130223222232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66536845 (or 66536838 counting only the distinct ones).

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

Adding to 130223222232120 its reverse (21232222322031), we get a palindrome (151455444554151).

The spelling of 130223222232120 in words is "one hundred thirty trillion, two hundred twenty-three billion, two hundred twenty-two million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 5437 10874 16311 21748 27185 32622 43496 48933 54370 65244 81555 97866 108740 130488 163110 195732 217480 244665 326220 391464 489330 652440 978660 1957320 66531391 133062782 199594173 266125564 332656955 399188346 532251128 598782519 665313910 798376692 997970865 1197565038 1330627820 1596753384 1995941730 2395130076 2661255640 2993912595 3991883460 4790260152 5987825190 7983766920 11975650380 23951300760 361731172867 723462345734 1085193518601 1446924691468 1808655864335 2170387037202 2893849382936 3255580555803 3617311728670 4340774074404 5425967593005 6511161111606 7234623457340 8681548148808 10851935186010 13022322223212 14469246914680 16277902779015 21703870372020 26044644446424 32555805558030 43407740744040 65111611116060 130223222232120