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101312100330 = 23573731293401
BaseRepresentation
bin101111001011010101…
…0111111011111101010
3100200111121120221112020
41132112222333133222
53124441344202310
6114313033525310
710214415433620
oct1362652773752
9320447527466
10101312100330
1139a6a048541
1217775273836
1397275c327c
144c91411510
15297e51a170
hex1796abf7ea

101312100330 has 64 divisors (see below), whose sum is σ = 278629832448. Its totient is φ = 23094950400.

The previous prime is 101312100311. The next prime is 101312100347. The reversal of 101312100330 is 33001213101.

It is a super-3 number, since 3×1013121003303 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 568371 + ... + 725030.

It is an arithmetic number, because the mean of its divisors is an integer number (4353591132).

Almost surely, 2101312100330 is an apocalyptic number.

101312100330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101312100330 is an abundant number, since it is smaller than the sum of its proper divisors (177317732118).

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

101312100330 is a wasteful number, since it uses less digits than its factorization.

101312100330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293791.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 101312100330 its reverse (33001213101), we get a palindrome (134313313431).

The spelling of 101312100330 in words is "one hundred one billion, three hundred twelve million, one hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 373 746 1119 1865 2238 2611 3730 5222 5595 7833 11190 13055 15666 26110 39165 78330 1293401 2586802 3880203 6467005 7760406 9053807 12934010 18107614 19401015 27161421 38802030 45269035 54322842 90538070 135807105 271614210 482438573 964877146 1447315719 2412192865 2894631438 3377070011 4824385730 6754140022 7236578595 10131210033 14473157190 16885350055 20262420066 33770700110 50656050165 101312100330