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31304413530 = 23251317292581
BaseRepresentation
bin11101001001111000…
…110111000101011010
32222210122202222100100
4131021320313011122
51003102412213110
622214150120230
72155516060515
oct351170670532
988718688310
1031304413530
1112304586245
126097950076
132c4b6b6c20
14172d797d7c
15c333dbbc0
hex749e3715a

31304413530 has 144 divisors (see below), whose sum is σ = 93112680024. Its totient is φ = 7252346880.

The previous prime is 31304413507. The next prime is 31304413549. The reversal of 31304413530 is 3531440313.

31304413530 is a `hidden beast` number, since 3 + 1 + 304 + 4 + 1 + 353 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1733140161 + 29571273369 = 41631^2 + 171963^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31304413494 and 31304413503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 291840 + ... + 384420.

Almost surely, 231304413530 is an apocalyptic number.

31304413530 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 31304413530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46556340012).

31304413530 is an abundant number, since it is smaller than the sum of its proper divisors (61808266494).

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

31304413530 is a wasteful number, since it uses less digits than its factorization.

31304413530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92641 (or 92621 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 31304413530 its reverse (3531440313), we get a palindrome (34835853843).

The spelling of 31304413530 in words is "thirty-one billion, three hundred four million, four hundred thirteen thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 289 306 390 442 510 578 585 663 765 867 1105 1170 1326 1445 1530 1734 1989 2210 2601 2890 3315 3757 3978 4335 5202 6630 7514 8670 9945 11271 13005 18785 19890 22542 26010 33813 37570 56355 67626 92581 112710 169065 185162 277743 338130 462905 555486 833229 925810 1203553 1388715 1573877 1666458 2407106 2777430 3147754 3610659 4166145 4721631 6017765 7221318 7869385 8332290 9443262 10831977 12035530 14164893 15738770 18053295 20460401 21663954 23608155 26755909 28329786 36106590 40920802 47216310 53511818 54159885 61381203 70824465 80267727 102302005 108319770 122762406 133779545 141648930 160535454 184143609 204604010 240803181 267559090 306906015 347826817 368287218 401338635 481606362 613812030 695653634 802677270 920718045 1043480451 1204015905 1739134085 1841436090 2086960902 2408031810 3130441353 3478268170 5217402255 6260882706 10434804510 15652206765 31304413530