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103234120020 = 223251075360027
BaseRepresentation
bin110000000100100111…
…0111010100101010100
3100212110120012122212200
41200021032322211110
53142410413320040
6115231453244500
710313144353563
oct1401116724524
9325416178780
10103234120020
113a865a73369
1218010a93730
139972866625
144dd47abbda
152a43127630
hex18093ba954

103234120020 has 72 divisors (see below), whose sum is σ = 316070131104. Its totient is φ = 27271812288.

The previous prime is 103234120013. The next prime is 103234120103. The reversal of 103234120020 is 20021432301.

103234120020 is a `hidden beast` number, since 103 + 2 + 341 + 200 + 20 = 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 = 103234119975 and 103234120002.

It is a congruent number.

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, 2660754 + ... + 2699273.

It is an arithmetic number, because the mean of its divisors is an integer number (4389862932).

Almost surely, 2103234120020 is an apocalyptic number.

103234120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103234120020 is an abundant number, since it is smaller than the sum of its proper divisors (212836011084).

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

103234120020 is a wasteful number, since it uses less digits than its factorization.

103234120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5360149 (or 5360144 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103234120020 its reverse (20021432301), we get a palindrome (123255552321).

The spelling of 103234120020 in words is "one hundred three billion, two hundred thirty-four million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 963 1070 1284 1605 1926 2140 3210 3852 4815 6420 9630 19260 5360027 10720054 16080081 21440108 26800135 32160162 48240243 53600270 64320324 80400405 96480486 107200540 160800810 192960972 241201215 321601620 482402430 573522889 964804860 1147045778 1720568667 2294091556 2867614445 3441137334 5161706001 5735228890 6882274668 8602843335 10323412002 11470457780 17205686670 20646824004 25808530005 34411373340 51617060010 103234120020