Search a number
-
+
31003313320 = 2357247933023
BaseRepresentation
bin11100110111111100…
…010000010010101000
32222000200012111111201
4130313330100102220
51001443322011240
622124232333544
72145201546400
oct346774202250
988020174451
1031003313320
111216a6201a1
126012b442b4
132c011c2415
1417017b9800
15c16c61d9a
hex737f104a8

31003313320 has 96 divisors (see below), whose sum is σ = 81318297600. Its totient is φ = 10607194752.

The previous prime is 31003313291. The next prime is 31003313351. The reversal of 31003313320 is 2331330013.

It is a super-2 number, since 2×310033133202 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 922329 + ... + 955351.

It is an arithmetic number, because the mean of its divisors is an integer number (847065600).

Almost surely, 231003313320 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 31003313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40659148800).

31003313320 is an abundant number, since it is smaller than the sum of its proper divisors (50314984280).

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

31003313320 is a wasteful number, since it uses less digits than its factorization.

31003313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33527 (or 33516 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 31003313320 its reverse (2331330013), we get a palindrome (33334643333).

The spelling of 31003313320 in words is "thirty-one billion, three million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 479 490 958 980 1916 1960 2395 3353 3832 4790 6706 9580 13412 16765 19160 23471 26824 33023 33530 46942 66046 67060 93884 117355 132092 134120 165115 187768 231161 234710 264184 330230 462322 469420 660460 924644 938840 1155805 1320920 1618127 1849288 2311610 3236254 4623220 6472508 8090635 9246440 12945016 15818017 16181270 31636034 32362540 63272068 64725080 79090085 110726119 126544136 158180170 221452238 316360340 442904476 553630595 632720680 775082833 885808952 1107261190 1550165666 2214522380 3100331332 3875414165 4429044760 6200662664 7750828330 15501656660 31003313320