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122334323303130 = 23517257968996331
BaseRepresentation
bin11011110100001100101101…
…111000100110001011011010
3121001011001021022220100222220
4123310030231320212023122
5112013311143231200010
61112103340130324510
734524235400654001
oct3364145570461332
9531131238810886
10122334323303130
1135a85771289a14
1211879265429736
135335100772c63
14222d02733bc38
15e222e3254970
hex6f432de262da

122334323303130 has 128 divisors (see below), whose sum is σ = 312118176925440. Its totient is φ = 30580573470720.

The previous prime is 122334323303063. The next prime is 122334323303131. The reversal of 122334323303130 is 31303323433221.

It is a junction number, because it is equal to n+sod(n) for n = 122334323303091 and 122334323303100.

It is not an unprimeable number, because it can be changed into a prime (122334323303131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1269889065 + ... + 1269985395.

It is an arithmetic number, because the mean of its divisors is an integer number (2438423257230).

Almost surely, 2122334323303130 is an apocalyptic number.

122334323303130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122334323303130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156059088462720).

122334323303130 is an abundant number, since it is smaller than the sum of its proper divisors (189783853622310).

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

122334323303130 is a wasteful number, since it uses less digits than its factorization.

122334323303130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106304.

The product of its (nonzero) digits is 69984, while the sum is 33.

Adding to 122334323303130 its reverse (31303323433221), we get a palindrome (153637646736351).

The spelling of 122334323303130 in words is "one hundred twenty-two trillion, three hundred thirty-four billion, three hundred twenty-three million, three hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 257 510 514 771 1285 1542 2570 3855 4369 7710 8738 9689 13107 19378 21845 26214 29067 43690 48445 58134 65535 96331 96890 131070 145335 164713 192662 288993 290670 329426 481655 494139 577986 823565 963310 988278 1444965 1637627 1647130 2470695 2490073 2889930 3275254 4912881 4941390 4980146 7470219 8188135 9825762 12450365 14940438 16376270 24564405 24757067 24900730 37351095 42331241 49128810 49514134 74271201 74702190 84662482 123785335 126993723 148542402 211656205 247570670 253987446 371356005 420870139 423312410 634968615 742712010 841740278 933351059 1262610417 1269937230 1866702118 2104350695 2525220834 2800053177 4208701390 4666755295 5600106354 6313052085 9333510590 12626104170 14000265885 15866968003 28000531770 31733936006 47600904009 79334840015 95201808018 158669680030 238004520045 239871222163 476009040090 479742444326 719613666489 1199356110815 1439227332978 2398712221630 3598068332445 4077810776771 7196136664890 8155621553542 12233432330313 20389053883855 24466864660626 40778107767710 61167161651565 122334323303130