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101330133130330 = 25132173526979921
BaseRepresentation
bin10111000010100011000010…
…100101110001110001011010
3111021210001210012110121100221
4113002203002211301301122
5101240143103040132310
6555302230455550254
730225601106201566
oct2702430245616132
9437701705417327
10101330133130330
112a317960532165
12b44656068b38a
134470510078a00
141b0459437c6a6
15baac68d69ada
hex5c28c2971c5a

101330133130330 has 48 divisors (see below), whose sum is σ = 209121693535224. Its totient is φ = 35213367521280.

The previous prime is 101330133130327. The next prime is 101330133130349. The reversal of 101330133130330 is 33031331033101.

It can be written as a sum of positive squares in 12 ways, for example, as 5896752592329 + 95433380538001 = 2428323^2 + 9769001^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101330133130295 and 101330133130304.

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, 1763461231 + ... + 1763518690.

Almost surely, 2101330133130330 is an apocalyptic number.

101330133130330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101330133130330 is an abundant number, since it is smaller than the sum of its proper divisors (107791560404894).

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

101330133130330 is a wasteful number, since it uses less digits than its factorization.

101330133130330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526979971 (or 3526979958 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 25.

Adding to 101330133130330 its reverse (33031331033101), we get a palindrome (134361464163431).

The spelling of 101330133130330 in words is "one hundred one trillion, three hundred thirty billion, one hundred thirty-three million, one hundred thirty thousand, three hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 169 170 221 338 442 845 1105 1690 2210 2873 5746 14365 28730 3526979921 7053959842 17634899605 35269799210 45850738973 59958658657 91701477946 119917317314 229253694865 299793293285 458507389730 596059606649 599586586570 779462562541 1192119213298 1558925125082 2980298033245 3897312812705 5960596066490 7794625625410 10133013313033 20266026626066 50665066565165 101330133130330