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101330100310122 = 23218713008792099
BaseRepresentation
bin10111000010100011000000…
…101000100101000001101010
3111021210001200220201011111200
4113002203000220211001222
5101240143021134410442
6555302223324305030
730225600230216055
oct2702430050450152
9437701626634450
10101330100310122
112a317943a55922
12b4465516a2176
134470506327178
141b0458dc77a9c
15baac6603534c
hex5c28c0a2506a

101330100310122 has 24 divisors (see below), whose sum is σ = 219665893636800. Its totient is φ = 33758647339560.

The previous prime is 101330100310073. The next prime is 101330100310139. The reversal of 101330100310122 is 221013001033101.

101330100310122 is a `hidden beast` number, since 1 + 0 + 1 + 330 + 1 + 0 + 0 + 310 + 1 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101330100310095 and 101330100310104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1504362372 + ... + 1504429727.

It is an arithmetic number, because the mean of its divisors is an integer number (9152745568200).

Almost surely, 2101330100310122 is an apocalyptic number.

101330100310122 is an abundant number, since it is smaller than the sum of its proper divisors (118335793326678).

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

101330100310122 is a wasteful number, since it uses less digits than its factorization.

101330100310122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008793978 (or 3008793975 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101330100310122 its reverse (221013001033101), we get a palindrome (322343101343223).

The spelling of 101330100310122 in words is "one hundred one trillion, three hundred thirty billion, one hundred million, three hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 1871 3742 5613 11226 16839 33678 3008792099 6017584198 9026376297 18052752594 27079128891 54158257782 5629450017229 11258900034458 16888350051687 33776700103374 50665050155061 101330100310122