Search a number
-
+
31000200323300 = 225213196120574899
BaseRepresentation
bin1110000110001110010111…
…11011011010000011100100
311001202120221021001122212122
413003013023323122003210
513030401402240321200
6145533143451205112
76346455602020205
oct703071373320344
9131676837048778
1031000200323300
1199721249aa89a
123588068446798
13143b3ca076290
147925bc25b5ac
1538b5bde10385
hex1c31cbeda0e4

31000200323300 has 144 divisors (see below), whose sum is σ = 77508117288000. Its totient is φ = 10666027123200.

The previous prime is 31000200323293. The next prime is 31000200323303. The reversal of 31000200323300 is 332300200013.

It is a super-2 number, since 2×310002003233002 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31000200323303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8780750 + ... + 11794149.

It is an arithmetic number, because the mean of its divisors is an integer number (538250814500).

Almost surely, 231000200323300 is an apocalyptic number.

It is an amenable number.

31000200323300 is an abundant number, since it is smaller than the sum of its proper divisors (46507916964700).

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

31000200323300 is a wasteful number, since it uses less digits than its factorization.

31000200323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20575006 (or 20574999 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 31000200323300 its reverse (332300200013), we get a palindrome (31332500523313).

The spelling of 31000200323300 in words is "thirty-one trillion, two hundred million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 61 65 76 95 100 122 130 190 244 247 260 305 325 380 475 494 610 650 793 950 988 1159 1220 1235 1300 1525 1586 1900 2318 2470 3050 3172 3965 4636 4940 5795 6100 6175 7930 11590 12350 15067 15860 19825 23180 24700 28975 30134 39650 57950 60268 75335 79300 115900 150670 301340 376675 753350 1506700 20574899 41149798 82299596 102874495 205748990 267473687 390923081 411497980 514372475 534947374 781846162 1028744950 1069894748 1255068839 1337368435 1563692324 1954615405 2057489900 2510137678 2674736870 3909230810 5020275356 5082000053 5349473740 6275344195 6686842175 7818461620 9773077025 10164000106 12550688390 13373684350 16315894907 19546154050 20328000212 23846307941 25101376780 25410000265 26747368700 31376720975 32631789814 39092308100 47692615882 50820000530 62753441950 65263579628 81579474535 95385231764 101640001060 119231539705 125506883900 127050001325 163158949070 238463079410 254100002650 310002003233 326317898140 407897372675 476926158820 508200005300 596157698525 620004006466 815794745350 1192315397050 1240008012932 1550010016165 1631589490700 2384630794100 3100020032330 6200040064660 7750050080825 15500100161650 31000200323300