Search a number
-
+
13239923100 = 22352311141907
BaseRepresentation
bin11000101010010100…
…10011000110011100
31021011201020210002020
430111022103012130
5204103410014400
610025441300140
7646045326615
oct142512230634
937151223066
1013239923100
115684656208
122696034650
13132ccc6831
148d8580c0c
155275452a0
hex31529319c

13239923100 has 72 divisors (see below), whose sum is σ = 38430956928. Its totient is φ = 3519268800.

The previous prime is 13239923069. The next prime is 13239923107. The reversal of 13239923100 is 132993231.

It is a super-3 number, since 3×132399231003 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13239923107) 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, 22347 + ... + 164253.

Almost surely, 213239923100 is an apocalyptic number.

13239923100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13239923100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19215478464).

13239923100 is an abundant number, since it is smaller than the sum of its proper divisors (25191033828).

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

13239923100 is a wasteful number, since it uses less digits than its factorization.

13239923100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142235 (or 142228 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The spelling of 13239923100 in words is "thirteen billion, two hundred thirty-nine million, nine hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 311 622 933 1244 1555 1866 3110 3732 4665 6220 7775 9330 15550 18660 23325 31100 46650 93300 141907 283814 425721 567628 709535 851442 1419070 1702884 2128605 2838140 3547675 4257210 7095350 8514420 10643025 14190700 21286050 42572100 44133077 88266154 132399231 176532308 220665385 264798462 441330770 529596924 661996155 882661540 1103326925 1323992310 2206653850 2647984620 3309980775 4413307700 6619961550 13239923100