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10113120104430 = 2357377118331829
BaseRepresentation
bin1001001100101010010011…
…1011100110111111101110
31022210210201201122221211210
42103022210323212333232
52311143132221320210
633301523033255250
72062435354355160
oct223124473467756
938723651587753
1010113120104430
113249a4a717832
121173ba7564526
13584880b9c265
1426d698860930
151280eae05e20
hex932a4ee6fee

10113120104430 has 128 divisors (see below), whose sum is σ = 28889790842880. Its totient is φ = 2217417914880.

The previous prime is 10113120104429. The next prime is 10113120104443. The reversal of 10113120104430 is 3440102131101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10113120104397 and 10113120104406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8614245 + ... + 9717584.

It is an arithmetic number, because the mean of its divisors is an integer number (225701490960).

Almost surely, 210113120104430 is an apocalyptic number.

10113120104430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10113120104430 is an abundant number, since it is smaller than the sum of its proper divisors (18776670738450).

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

10113120104430 is a wasteful number, since it uses less digits than its factorization.

10113120104430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18331954.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10113120104430 its reverse (3440102131101), we get a palindrome (13553222235531).

The spelling of 10113120104430 in words is "ten trillion, one hundred thirteen billion, one hundred twenty million, one hundred four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 71 74 105 111 142 185 210 213 222 259 355 370 426 497 518 555 710 777 994 1065 1110 1295 1491 1554 2130 2485 2590 2627 2982 3885 4970 5254 7455 7770 7881 13135 14910 15762 18389 26270 36778 39405 55167 78810 91945 110334 183890 275835 551670 18331829 36663658 54995487 91659145 109990974 128322803 183318290 256645606 274977435 384968409 549954870 641614015 678277673 769936818 1283228030 1301559859 1356555346 1924842045 2034833019 2603119718 3391388365 3849684090 3904679577 4069666038 4747943711 6507799295 6782776730 7809359154 9110919013 9495887422 10174165095 13015598590 14243831133 18221838026 19523397885 20348330190 23739718555 27332757039 28487662266 39046795770 45554595065 47479437110 48157714783 54665514078 71219155665 91109190130 96315429566 136663785195 142438311330 144473144349 240788573915 273327570390 288946288698 337104003481 481577147830 674208006962 722365721745 1011312010443 1444731443490 1685520017405 2022624020886 3371040034810 5056560052215 10113120104430