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13120123101330 = 2357317271969199
BaseRepresentation
bin1011111011101100010001…
…0001101110000010010010
31201110021022221022100001110
42332323010101232002102
53204430003003220310
643523145031314150
72522616611202660
oct276730421560222
951407287270043
1013120123101330
1141a92384a4753
12157a92681b956
137422b75141bb
14335035853c30
1517b440356d20
hexbeec446e092

13120123101330 has 64 divisors (see below), whose sum is σ = 35987775897600. Its totient is φ = 2998789235904.

The previous prime is 13120123101271. The next prime is 13120123101331. The reversal of 13120123101330 is 3310132102131.

It is a happy number.

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 = 13120123101297 and 13120123101306.

It is not an unprimeable number, because it can be changed into a prime (13120123101331) 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, 5678071 + ... + 7647269.

It is an arithmetic number, because the mean of its divisors is an integer number (562308998400).

Almost surely, 213120123101330 is an apocalyptic number.

13120123101330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13120123101330 is an abundant number, since it is smaller than the sum of its proper divisors (22867652796270).

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

13120123101330 is a wasteful number, since it uses less digits than its factorization.

13120123101330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000943.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13120123101330 its reverse (3310132102131), we get a palindrome (16430255203461).

The spelling of 13120123101330 in words is "thirteen trillion, one hundred twenty billion, one hundred twenty-three million, one hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 31727 63454 95181 158635 190362 222089 317270 444178 475905 666267 951810 1110445 1332534 1969199 2220890 3331335 3938398 5907597 6662670 9845995 11815194 13784393 19691990 27568786 29537985 41353179 59075970 68921965 82706358 137843930 206765895 413531790 62476776673 124953553346 187430330019 312383883365 374860660038 437337436711 624767766730 874674873422 937151650095 1312012310133 1874303300190 2186687183555 2624024620266 4373374367110 6560061550665 13120123101330