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31103321312 = 2571779103391
BaseRepresentation
bin11100111101111001…
…110000010011100000
32222021122101102200102
4130331321300103200
51002144422240222
622142204041532
72150524604030
oct347571602340
988248342612
1031103321312
1112211017728
1260405332a8
132c18b3974b
141710bad8c0
15c20918d92
hex73de704e0

31103321312 has 96 divisors (see below), whose sum is σ = 75037777920. Its totient is φ = 12386949120.

The previous prime is 31103321299. The next prime is 31103321371. The reversal of 31103321312 is 21312330113.

It is a super-3 number, since 3×311033213123 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249137 + ... + 352527.

It is an arithmetic number, because the mean of its divisors is an integer number (781643520).

Almost surely, 231103321312 is an apocalyptic number.

31103321312 is a gapful number since it is divisible by the number (32) 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 31103321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37518888960).

31103321312 is an abundant number, since it is smaller than the sum of its proper divisors (43934456608).

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

31103321312 is a wasteful number, since it uses less digits than its factorization.

31103321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103504 (or 103496 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 31103321312 its reverse (21312330113), we get a palindrome (52415651425).

The spelling of 31103321312 in words is "thirty-one billion, one hundred three million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 79 112 119 136 158 224 238 272 316 476 544 553 632 952 1106 1264 1343 1904 2212 2528 2686 3808 4424 5372 8848 9401 10744 17696 18802 21488 37604 42976 75208 103391 150416 206782 300832 413564 723737 827128 1447474 1654256 1757647 2894948 3308512 3515294 5789896 7030588 8167889 11579792 12303529 14061176 16335778 23159584 24607058 28122352 32671556 49214116 56244704 57175223 65343112 98428232 114350446 130686224 138854113 196856464 228700892 261372448 277708226 393712928 457401784 555416452 914803568 971978791 1110832904 1829607136 1943957582 2221665808 3887915164 4443331616 7775830328 15551660656 31103321312