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103312020102000 = 2435317218670017
BaseRepresentation
bin10111011111011000110100…
…010000100101101101110000
3111112210112101022110021120220
4113133120310100211231300
5102020131004121231000
61003420515315533040
730522022111411113
oct2737306420455560
9445715338407526
10103312020102000
112aa11422010746
12b70668a5ba180
134585387b56c28
141b724853bc57a
15be25b1ab41a0
hex5df634425b70

103312020102000 has 80 divisors (see below), whose sum is σ = 333077952828192. Its totient is φ = 27549872025600.

The previous prime is 103312020101989. The next prime is 103312020102001. The reversal of 103312020102000 is 201020213301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1033120201020003 (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103312020102001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8609329009 + ... + 8609341008.

Almost surely, 2103312020102000 is an apocalyptic number.

103312020102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103312020102000 is an abundant number, since it is smaller than the sum of its proper divisors (229765932726192).

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

103312020102000 is a wasteful number, since it uses less digits than its factorization.

103312020102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17218670043 (or 17218670027 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 103312020102000 its reverse (201020213301), we get a palindrome (103513040315301).

The spelling of 103312020102000 in words is "one hundred three trillion, three hundred twelve billion, twenty million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 17218670017 34437340034 51656010051 68874680068 86093350085 103312020102 137749360136 172186700170 206624040204 258280050255 275498720272 344373400340 413248080408 430466750425 516560100510 688746800680 826496160816 860933500850 1033120201020 1291400251275 1377493601360 1721867001700 2066240402040 2152333752125 2582800502550 3443734003400 4132480804080 4304667504250 5165601005100 6457001256375 6887468006800 8609335008500 10331202010200 12914002512750 17218670017000 20662404020400 25828005025500 34437340034000 51656010051000 103312020102000