Search a number
-
+
31302013320 = 23325372350001
BaseRepresentation
bin11101001001101111…
…101101000110001000
32222210111021000212200
4131021233231012020
51003101303411240
622214022440200
72155456503024
oct351157550610
988714230780
1031302013320
11123031969a6
126096b93060
132c4b056596
14172d331384
15c330b5930
hex749bed188

31302013320 has 96 divisors (see below), whose sum is σ = 104481088920. Its totient is φ = 8121600000.

The previous prime is 31302013297. The next prime is 31302013331. The reversal of 31302013320 is 2331020313.

31302013320 is a `hidden beast` number, since 3 + 130 + 201 + 332 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31280167044 + 21846276 = 176862^2 + 4674^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31302013293 and 31302013302.

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, 1161681 + ... + 1188320.

Almost surely, 231302013320 is an apocalyptic number.

31302013320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31302013320 is an abundant number, since it is smaller than the sum of its proper divisors (73179075600).

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

31302013320 is a wasteful number, since it uses less digits than its factorization.

31302013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350055 (or 2350048 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31302013320 its reverse (2331020313), we get a palindrome (33633033633).

The spelling of 31302013320 in words is "thirty-one billion, three hundred two million, thirteen thousand, three 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 2350001 4700002 7050003 9400004 11750005 14100006 18800008 21150009 23500010 28200012 35250015 42300018 47000020 56400024 70500030 84600036 86950037 94000040 105750045 141000060 169200072 173900074 211500090 260850111 282000120 347800148 423000180 434750185 521700222 695600296 782550333 846000360 869500370 1043400444 1304250555 1565100666 1739000740 2086800888 2608501110 3130201332 3478001480 3912751665 5217002220 6260402664 7825503330 10434004440 15651006660 31302013320