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1304413131030 = 235537138330169
BaseRepresentation
bin10010111110110101000…
…101001101000100010110
311121200220210102201220120
4102332311011031010112
5132332414230143110
62435123352212410
7163145400446532
oct22766505150426
94550823381816
101304413131030
1146322022a919
1219097939a106
139600c4a7189
14471c3720bc2
1523de65a4870
hex12fb514d116

1304413131030 has 128 divisors (see below), whose sum is σ = 3243136942080. Its totient is φ = 335584005120.

The previous prime is 1304413131017. The next prime is 1304413131067. The reversal of 1304413131030 is 301313144031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43221786 + ... + 43251954.

It is an arithmetic number, because the mean of its divisors is an integer number (25337007360).

Almost surely, 21304413131030 is an apocalyptic number.

1304413131030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304413131030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621568471040).

1304413131030 is an abundant number, since it is smaller than the sum of its proper divisors (1938723811050).

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

1304413131030 is a wasteful number, since it uses less digits than its factorization.

1304413131030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30686.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1304413131030 its reverse (301313144031), we get a palindrome (1605726275061).

The spelling of 1304413131030 in words is "one trillion, three hundred four billion, four hundred thirteen million, one hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 53 71 106 142 159 213 265 318 355 383 426 530 710 766 795 1065 1149 1590 1915 2130 2298 3763 3830 5745 7526 11289 11490 18815 20299 22578 27193 30169 37630 40598 54386 56445 60338 60897 81579 90507 101495 112890 121794 135965 150845 163158 181014 202990 271930 301690 304485 407895 452535 608970 815790 905070 1441229 1598957 2141999 2882458 3197914 4283998 4323687 4796871 6425997 7206145 7994785 8647374 9593742 10709995 11554727 12851994 14412290 15989570 21419990 21618435 23109454 23984355 32129985 34664181 43236870 47968710 57773635 64259970 69328362 113525947 115547270 173320905 227051894 340577841 346641810 567629735 612400531 681155682 820385617 1135259470 1224801062 1640771234 1702889205 1837201593 2461156851 3062002655 3405778410 3674403186 4101928085 4922313702 6124005310 8203856170 9186007965 12305784255 18372015930 24611568510 43480437701 86960875402 130441313103 217402188505 260882626206 434804377010 652206565515 1304413131030