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31300330000 = 245418117293
BaseRepresentation
bin11101001001101001…
…010010001000010000
32222210101002111210111
4131021221102020100
51003100341030000
622213522411104
72155436262262
oct351151221020
988711074714
1031300330000
1112302247225
126096500a94
132c4a8b7334
14172d013b32
15c32d81cba
hex749a52210

31300330000 has 100 divisors (see below), whose sum is σ = 76204316188. Its totient is φ = 12450240000.

The previous prime is 31300329979. The next prime is 31300330001. The reversal of 31300330000 is 3300313.

It can be written as a sum of positive squares in 10 ways, for example, as 30783404304 + 516925696 = 175452^2 + 22736^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (31300330001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1801354 + ... + 1818646.

Almost surely, 231300330000 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 31300330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38102158094).

31300330000 is an abundant number, since it is smaller than the sum of its proper divisors (44903986188).

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

31300330000 is a wasteful number, since it uses less digits than its factorization.

31300330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17502 (or 17481 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 13.

Adding to 31300330000 its reverse (3300313), we get a palindrome (31303630313).

The spelling of 31300330000 in words is "thirty-one billion, three hundred million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 181 200 250 362 400 500 625 724 905 1000 1250 1448 1810 2000 2500 2896 3620 4525 5000 7240 9050 10000 14480 17293 18100 22625 34586 36200 45250 69172 72400 86465 90500 113125 138344 172930 181000 226250 276688 345860 362000 432325 452500 691720 864650 905000 1383440 1729300 1810000 2161625 3130033 3458600 4323250 6260066 6917200 8646500 10808125 12520132 15650165 17293000 21616250 25040264 31300330 34586000 43232500 50080528 62600660 78250825 86465000 125201320 156501650 172930000 250402640 313003300 391254125 626006600 782508250 1252013200 1565016500 1956270625 3130033000 3912541250 6260066000 7825082500 15650165000 31300330000