Search a number
-
+
31285230120 = 23325372348741
BaseRepresentation
bin11101001000101111…
…101011101000101000
32222202022200100122200
4131020233223220220
51003033004330440
622212223020200
72155164032304
oct351057535050
988668610580
1031285230120
11122a4773491
12609143a660
132c4772b3b1
14172b002d04
15c3189cc30
hex748beba28

31285230120 has 96 divisors (see below), whose sum is σ = 104425069320. Its totient is φ = 8117245440.

The previous prime is 31285230107. The next prime is 31285230139. The reversal of 31285230120 is 2103258213.

31285230120 is a `hidden beast` number, since 3 + 12 + 8 + 523 + 0 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30777088356 + 508141764 = 175434^2 + 22542^2 .

It is a super-2 number, since 2×312852301202 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1161051 + ... + 1187690.

Almost surely, 231285230120 is an apocalyptic number.

31285230120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31285230120 is an abundant number, since it is smaller than the sum of its proper divisors (73139839200).

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

31285230120 is a wasteful number, since it uses less digits than its factorization.

31285230120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348795 (or 2348788 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 31285230120 its reverse (2103258213), we get a palindrome (33388488333).

The spelling of 31285230120 in words is "thirty-one billion, two hundred eighty-five million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 2348741 4697482 7046223 9394964 11743705 14092446 18789928 21138669 23487410 28184892 35231115 42277338 46974820 56369784 70462230 84554676 86903417 93949640 105693345 140924460 169109352 173806834 211386690 260710251 281848920 347613668 422773380 434517085 521420502 695227336 782130753 845546760 869034170 1042841004 1303551255 1564261506 1738068340 2085682008 2607102510 3128523012 3476136680 3910653765 5214205020 6257046024 7821307530 10428410040 15642615060 31285230120