Search a number
-
+
31020000101320 = 2351925581384913
BaseRepresentation
bin1110000110110011010000…
…00101100100001111001000
311001211111001010211121012111
413003121220011210033020
513031212430011220240
6145550220305152104
76351056343243436
oct703315005441710
9131744033747174
1031020000101320
11997a5654050aa
12358ba7332b634
131440234119869
14793539b03d56
1538bd7c2cb1ea
hex1c36681643c8

31020000101320 has 96 divisors (see below), whose sum is σ = 73675149316920. Its totient is φ = 11752810629120.

The previous prime is 31020000101273. The next prime is 31020000101323. The reversal of 31020000101320 is 2310100002013.

It can be written as a sum of positive squares in 4 ways, for example, as 22761124223044 + 8258875878276 = 4770862^2 + 2873826^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 31020000101320.

It is not an unprimeable number, because it can be changed into a prime (31020000101323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80397184 + ... + 80782096.

Almost surely, 231020000101320 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 31020000101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36837574658460).

31020000101320 is an abundant number, since it is smaller than the sum of its proper divisors (42655149215600).

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

31020000101320 is a wasteful number, since it uses less digits than its factorization.

31020000101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390543 (or 390520 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 31020000101320 its reverse (2310100002013), we get a palindrome (33330100103333).

The spelling of 31020000101320 in words is "thirty-one trillion, twenty billion, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 361 380 722 760 1444 1805 2888 3610 5581 7220 11162 14440 22324 27905 44648 55810 106039 111620 212078 223240 384913 424156 530195 769826 848312 1060390 1539652 1924565 2014741 2120780 3079304 3849130 4029482 4241560 7313347 7698260 8058964 10073705 14626694 15396520 16117928 20147410 29253388 36566735 40294820 58506776 73133470 80589640 138953593 146266940 277907186 292533880 555814372 694767965 1111628744 1389535930 2148199453 2779071860 4296398906 5558143720 8592797812 10740997265 17185595624 21481994530 40815789607 42963989060 81631579214 85927978120 163263158428 204078948035 326526316856 408157896070 775500002533 816315792140 1551000005066 1632631584280 3102000010132 3877500012665 6204000020264 7755000025330 15510000050660 31020000101320