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203123120232132 = 2235814725650473
BaseRepresentation
bin101110001011110101001001…
…011011010101011011000100
3222122012101021111100011100000
4232023311021123111123010
5203110432122234412012
62000001250114521300
760533106163265652
oct5613651133253304
9878171244304300
10203123120232132
11597a3038a64791
121a946755b96230
138945574566139
1438232d6405dd2
151873a7267bddc
hexb8bd496d56c4

203123120232132 has 72 divisors (see below), whose sum is σ = 532532158363296. Its totient is φ = 67699393351488.

The previous prime is 203123120232031. The next prime is 203123120232133. The reversal of 203123120232132 is 231232021321302.

203123120232132 is a `hidden beast` number, since 2 + 0 + 312 + 3 + 1 + 20 + 2 + 321 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 203123120232096 and 203123120232105.

It is not an unprimeable number, because it can be changed into a prime (203123120232133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4906353 + ... + 20744120.

It is an arithmetic number, because the mean of its divisors is an integer number (7396279977268).

Almost surely, 2203123120232132 is an apocalyptic number.

It is an amenable number.

203123120232132 is an abundant number, since it is smaller than the sum of its proper divisors (329409038131164).

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

203123120232132 is a wasteful number, since it uses less digits than its factorization.

203123120232132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25658639 (or 25658625 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 203123120232132 its reverse (231232021321302), we get a palindrome (434355141553434).

The spelling of 203123120232132 in words is "two hundred three trillion, one hundred twenty-three billion, one hundred twenty million, two hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 8147 16294 24441 32588 48882 73323 97764 146646 219969 293292 439938 659907 879876 1319814 1979721 2639628 3959442 7918884 25650473 51300946 76951419 102601892 153902838 230854257 307805676 461708514 692562771 923417028 1385125542 2077688313 2770251084 4155376626 6233064939 8310753252 12466129878 24932259756 208974403531 417948807062 626923210593 835897614124 1253846421186 1880769631779 2507692842372 3761539263558 5642308895337 7523078527116 11284617790674 16926926686011 22569235581348 33853853372022 50780780058033 67707706744044 101561560116066 203123120232132