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31351303680 = 293523177487
BaseRepresentation
bin11101001100101011…
…101110111000000000
32222220221000020112120
4131030223232320000
51003201413204210
622222543124240
72156625453504
oct351453567000
988827006476
1031351303680
1112328aa2534
1260ab5a3680
132c58323988
141735ac2304
15c375a0270
hex74caeee00

31351303680 has 160 divisors (see below), whose sum is σ = 104584449024. Its totient is φ = 7996809216.

The previous prime is 31351303639. The next prime is 31351303681. The reversal of 31351303680 is 8630315313.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31351303681) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 87897 + ... + 265383.

Almost surely, 231351303680 is an apocalyptic number.

31351303680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31351303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52292224512).

31351303680 is an abundant number, since it is smaller than the sum of its proper divisors (73233145344).

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

31351303680 is a wasteful number, since it uses less digits than its factorization.

31351303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177536 (or 177520 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

Adding to 31351303680 its reverse (8630315313), we get a palindrome (39981618993).

The spelling of 31351303680 in words is "thirty-one billion, three hundred fifty-one million, three hundred three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 256 276 320 345 368 384 460 480 512 552 640 690 736 768 920 960 1104 1280 1380 1472 1536 1840 1920 2208 2560 2760 2944 3680 3840 4416 5520 5888 7360 7680 8832 11040 11776 14720 17664 22080 29440 35328 44160 58880 88320 176640 177487 354974 532461 709948 887435 1064922 1419896 1774870 2129844 2662305 2839792 3549740 4082201 4259688 5324610 5679584 7099480 8164402 8519376 10649220 11359168 12246603 14198960 16328804 17038752 20411005 21298440 22718336 24493206 28397920 32657608 34077504 40822010 42596880 45436672 48986412 56795840 61233015 65315216 68155008 81644020 85193760 90873344 97972824 113591680 122466030 130630432 136310016 163288040 170387520 195945648 227183360 244932060 261260864 272620032 326576080 340775040 391891296 454366720 489864120 522521728 653152160 681550080 783782592 979728240 1045043456 1306304320 1363100160 1567565184 1959456480 2090086912 2612608640 3135130368 3918912960 5225217280 6270260736 7837825920 10450434560 15675651840 31351303680