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131023300320330 = 23511236094573091
BaseRepresentation
bin11101110010101000111101…
…010001011101110001001010
3122011220201001002002121212220
4131302220331101131301022
5114133141204340222310
61142355135003114510
736412056345002535
oct3562507521356112
9564821032077786
10131023300320330
1138825740295700
121284123a212a36
1358155a0bc0702
14244d7c0d4ba1c
15102333b693670
hex772a3d45dc4a

131023300320330 has 48 divisors (see below), whose sum is σ = 345641631928992. Its totient is φ = 31763224319200.

The previous prime is 131023300320313. The next prime is 131023300320361. The reversal of 131023300320330 is 33023003320131.

It is a super-2 number, since 2×1310233003203302 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131023300320330.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18047282916 + ... + 18047290175.

It is an arithmetic number, because the mean of its divisors is an integer number (7200867331854).

Almost surely, 2131023300320330 is an apocalyptic number.

131023300320330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131023300320330 is an abundant number, since it is smaller than the sum of its proper divisors (214618331608662).

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

131023300320330 is a wasteful number, since it uses less digits than its factorization.

131023300320330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36094573123 (or 36094573112 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 131023300320330 its reverse (33023003320131), we get a palindrome (164046303640461).

The spelling of 131023300320330 in words is "one hundred thirty-one trillion, twenty-three billion, three hundred million, three hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 3630 36094573091 72189146182 108283719273 180472865455 216567438546 360945730910 397040304001 541418596365 794080608002 1082837192730 1191120912003 1985201520005 2382241824006 3970403040010 4367443344011 5955604560015 8734886688022 11911209120030 13102330032033 21837216720055 26204660064066 43674433440110 65511650160165 131023300320330