Search a number
-
+
122300013321220 = 225717192704555801
BaseRepresentation
bin11011110011101100110000…
…110110011001110000000100
3121001000202201012121200221011
4123303230300312121300010
5112012230411402234340
61112035503412332004
734521612224636140
oct3363546066316004
9531022635550834
10122300013321220
1135a7216518a769
121187268b014004
135331ac34a5107
14222b4d072c220
15e214860740ea
hex6f3b30d99c04

122300013321220 has 96 divisors (see below), whose sum is σ = 327143069809920. Its totient is φ = 37387779379200.

The previous prime is 122300013320987. The next prime is 122300013321253. The reversal of 122300013321220 is 22123310003221.

It is a junction number, because it is equal to n+sod(n) for n = 122300013321191 and 122300013321200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1352232681 + ... + 1352323120.

It is an arithmetic number, because the mean of its divisors is an integer number (3407740310520).

Almost surely, 2122300013321220 is an apocalyptic number.

122300013321220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122300013321220 is an abundant number, since it is smaller than the sum of its proper divisors (204843056488700).

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

122300013321220 is a wasteful number, since it uses less digits than its factorization.

122300013321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704555853 (or 2704555851 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 122300013321220 its reverse (22123310003221), we get a palindrome (144423323324441).

The spelling of 122300013321220 in words is "one hundred twenty-two trillion, three hundred billion, thirteen million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 19 20 28 34 35 38 68 70 76 85 95 119 133 140 170 190 238 266 323 340 380 476 532 595 646 665 1190 1292 1330 1615 2261 2380 2660 3230 4522 6460 9044 11305 22610 45220 2704555801 5409111602 10818223204 13522779005 18931890607 27045558010 37863781214 45977448617 51386560219 54091116020 75727562428 91954897234 94659453035 102773120438 183909794468 189318906070 205546240876 229887243085 256932801095 321842140319 359705921533 378637812140 459774486170 513865602190 643684280638 719411843066 873571523723 919548972340 1027731204380 1287368561276 1438823686132 1609210701595 1747143047446 1798529607665 3218421403190 3494286094892 3597059215330 4367857618615 6115000666061 6436842806380 7194118430660 8735715237230 12230001332122 17471430474460 24460002664244 30575003330305 61150006660610 122300013321220