Search a number
-
+
131000013300 = 223521337907831
BaseRepresentation
bin111101000000000110…
…1011001000111110100
3110112010121122011222110
41322000031121013310
54121242000411200
6140103000531020
712315205512012
oct1720015310764
9415117564873
10131000013300
1150614101a02
122147b780a70
13c479117a90
1464aa21b8b2
15361aa48b50
hex1e803591f4

131000013300 has 144 divisors (see below), whose sum is σ = 419215029632. Its totient is φ = 31374604800.

The previous prime is 131000013299. The next prime is 131000013359. The reversal of 131000013300 is 3310000131.

It is a super-2 number, since 2×1310000133002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309616 + ... + 598215.

Almost surely, 2131000013300 is an apocalyptic number.

131000013300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131000013300 is an abundant number, since it is smaller than the sum of its proper divisors (288215016332).

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

131000013300 is a wasteful number, since it uses less digits than its factorization.

131000013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907898 (or 907891 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 131000013300 its reverse (3310000131), we get a palindrome (134310013431).

The spelling of 131000013300 in words is "one hundred thirty-one billion, thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 37 39 50 52 60 65 74 75 78 100 111 130 148 150 156 185 195 222 260 300 325 370 390 444 481 555 650 740 780 925 962 975 1110 1300 1443 1850 1924 1950 2220 2405 2775 2886 3700 3900 4810 5550 5772 7215 9620 11100 12025 14430 24050 28860 36075 48100 72150 144300 907831 1815662 2723493 3631324 4539155 5446986 9078310 10893972 11801803 13617465 18156620 22695775 23603606 27234930 33589747 35405409 45391550 47207212 54469860 59009015 67179494 68087325 70810818 90783100 100769241 118018030 134358988 136174650 141621636 167948735 177027045 201538482 236036060 272349300 295045075 335897470 354054090 403076964 436666711 503846205 590090150 671794940 708108180 839743675 873333422 885135225 1007692410 1180180300 1310000133 1679487350 1746666844 1770270450 2015384820 2183333555 2519231025 2620000266 3358974700 3540540900 4366667110 5038462050 5240000532 6550000665 8733334220 10076924100 10916667775 13100001330 21833335550 26200002660 32750003325 43666671100 65500006650 131000013300