Search a number
-
+
31013132000 = 255361127103
BaseRepresentation
bin11100111000100001…
…101101011011100000
32222001100200100012112
4130320201231123200
51002003330211000
622125223014452
72145351162314
oct347041553340
988040610175
1031013132000
1112175117104
12601629a428
132c0324c5a6
141702c13b44
15c17a51235
hex73886d6e0

31013132000 has 96 divisors (see below), whose sum is σ = 77449042944. Its totient is φ = 12201792000.

The previous prime is 31013131999. The next prime is 31013132021. The reversal of 31013132000 is 23131013.

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 15 ways as a sum of consecutive naturals, for example, 180449 + ... + 307551.

It is an arithmetic number, because the mean of its divisors is an integer number (806760864).

Almost surely, 231013132000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31013132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38724521472).

31013132000 is an abundant number, since it is smaller than the sum of its proper divisors (46435910944).

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

31013132000 is a wasteful number, since it uses less digits than its factorization.

31013132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127189 (or 127171 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 31013132000 its reverse (23131013), we get a palindrome (31036263013).

The spelling of 31013132000 in words is "thirty-one billion, thirteen million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 80 100 122 125 160 200 244 250 305 400 488 500 610 800 976 1000 1220 1525 1952 2000 2440 3050 4000 4880 6100 7625 9760 12200 15250 24400 30500 48800 61000 122000 127103 244000 254206 508412 635515 1016824 1271030 2033648 2542060 3177575 4067296 5084120 6355150 7753283 10168240 12710300 15506566 15887875 20336480 25420600 31013132 31775750 38766415 50841200 62026264 63551500 77532830 101682400 124052528 127103000 155065660 193832075 248105056 254206000 310131320 387664150 508412000 620262640 775328300 969160375 1240525280 1550656600 1938320750 3101313200 3876641500 6202626400 7753283000 15506566000 31013132000