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31130223030 = 232517101201451
BaseRepresentation
bin11100111111100000…
…011000000110110110
32222100112000011220100
4130333200120012312
51002223314114110
622145004414530
72151302346504
oct347740300666
988315004810
1031130223030
1112225221355
126049547446
132c2159841a
1417145b3674
15c22e7ebc0
hex73f8181b6

31130223030 has 96 divisors (see below), whose sum is σ = 86548614048. Its totient is φ = 7735680000.

The previous prime is 31130222989. The next prime is 31130223031. The reversal of 31130223030 is 3032203113.

31130223030 is a `hidden beast` number, since 311 + 30 + 22 + 303 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31130222994 and 31130223012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31130223031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53805 + ... + 255255.

It is an arithmetic number, because the mean of its divisors is an integer number (901548063).

Almost surely, 231130223030 is an apocalyptic number.

31130223030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31130223030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43274307024).

31130223030 is an abundant number, since it is smaller than the sum of its proper divisors (55418391018).

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

31130223030 is a wasteful number, since it uses less digits than its factorization.

31130223030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201582 (or 201579 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31130223030 its reverse (3032203113), we get a palindrome (34162426143).

The spelling of 31130223030 in words is "thirty-one billion, one hundred thirty million, two hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 101 102 153 170 202 255 303 306 505 510 606 765 909 1010 1515 1530 1717 1818 3030 3434 4545 5151 8585 9090 10302 15453 17170 25755 30906 51510 77265 154530 201451 402902 604353 1007255 1208706 1813059 2014510 3021765 3424667 3626118 6043530 6849334 9065295 10274001 17123335 18130590 20346551 20548002 30822003 34246670 40693102 51370005 61039653 61644006 101732755 102740010 122079306 154110015 183118959 203465510 305198265 308220030 345891367 366237918 610396530 691782734 915594795 1037674101 1729456835 1831189590 2075348202 3113022303 3458913670 5188370505 6226044606 10376741010 15565111515 31130223030