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31121303130 = 23251721196513
BaseRepresentation
bin11100111110111110…
…010110011001011010
32222022220020000002200
4130332332112121122
51002214023200010
622144045311030
72151133466121
oct347676263132
988286200080
1031121303130
1112220189735
126046565476
132c1c794388
141713330ab8
15c222bbcc0
hex73ef9665a

31121303130 has 72 divisors (see below), whose sum is σ = 85955172732. Its totient is φ = 7810830336.

The previous prime is 31121303119. The next prime is 31121303149. The reversal of 31121303130 is 3130312113.

It is a happy number.

31121303130 is a `hidden beast` number, since 311 + 21 + 303 + 1 + 30 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 28879943481 + 2241359649 = 169941^2 + 47343^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 572247 + ... + 624266.

Almost surely, 231121303130 is an apocalyptic number.

31121303130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31121303130 is an abundant number, since it is smaller than the sum of its proper divisors (54833869602).

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

31121303130 is a wasteful number, since it uses less digits than its factorization.

31121303130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196560 (or 1196540 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31121303130 its reverse (3130312113), we get a palindrome (34251615243).

The spelling of 31121303130 in words is "thirty-one billion, one hundred twenty-one million, three hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 289 306 510 578 765 867 1445 1530 1734 2601 2890 4335 5202 8670 13005 26010 1196513 2393026 3589539 5982565 7179078 10768617 11965130 17947695 20340721 21537234 35895390 40681442 53843085 61022163 101703605 107686170 122044326 183066489 203407210 305110815 345792257 366132978 610221630 691584514 915332445 1037376771 1728961285 1830664890 2074753542 3112130313 3457922570 5186883855 6224260626 10373767710 15560651565 31121303130