Search a number
-
+
31013312000 = 29531144053
BaseRepresentation
bin11100111000100010…
…011001011000000000
32222001101000111010012
4130320202121120000
51002003401441000
622125230524052
72145352542146
oct347042313000
988041014105
1031013312000
111217522a370
126016366628
132c032b34b8
141702c5d596
15c17a89735
hex738899600

31013312000 has 160 divisors (see below), whose sum is σ = 84365877024. Its totient is φ = 11277312000.

The previous prime is 31013311999. The next prime is 31013312009. The reversal of 31013312000 is 21331013.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31013312009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681974 + ... + 726026.

Almost surely, 231013312000 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 31013312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42182938512).

31013312000 is an abundant number, since it is smaller than the sum of its proper divisors (53352565024).

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

31013312000 is an equidigital number, since it uses as much as digits as its factorization.

31013312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44097 (or 44071 counting only the distinct ones).

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

Adding to 31013312000 its reverse (21331013), we get a palindrome (31034643013).

The spelling of 31013312000 in words is "thirty-one billion, thirteen million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 256 275 320 352 400 440 500 512 550 640 704 800 880 1000 1100 1280 1375 1408 1600 1760 2000 2200 2560 2750 2816 3200 3520 4000 4400 5500 5632 6400 7040 8000 8800 11000 12800 14080 16000 17600 22000 28160 32000 35200 44000 44053 64000 70400 88000 88106 140800 176000 176212 220265 352000 352424 440530 484583 704000 704848 881060 969166 1101325 1409696 1762120 1938332 2202650 2422915 2819392 3524240 3876664 4405300 4845830 5506625 5638784 7048480 7753328 8810600 9691660 11013250 11277568 12114575 14096960 15506656 17621200 19383320 22026500 22555136 24229150 28193920 31013312 35242400 38766640 44053000 48458300 56387840 60572875 62026624 70484800 77533280 88106000 96916600 112775680 121145750 124053248 140969600 155066560 176212000 193833200 242291500 248106496 281939200 310133120 352424000 387666400 484583000 563878400 620266240 704848000 775332800 969166000 1240532480 1409696000 1550665600 1938332000 2819392000 3101331200 3876664000 6202662400 7753328000 15506656000 31013312000