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1030130410330 = 257172338639743
BaseRepresentation
bin11101111110110001000…
…11101010001101011010
310122110221120002212012101
432333120203222031122
5113334201341112310
62105122501434014
7134265410004640
oct16773043521532
93573846085171
101030130410330
1136796a84115a
1214779070b90a
13761aa6910c8
1437c03d1b190
151bbe1a5043a
hexefd88ea35a

1030130410330 has 128 divisors (see below), whose sum is σ = 2342181961728. Its totient is φ = 317844206592.

The previous prime is 1030130410327. The next prime is 1030130410339. The reversal of 1030130410330 is 330140310301.

It is a super-2 number, since 2×10301304103302 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1030130410298 and 1030130410307.

It is not an unprimeable number, because it can be changed into a prime (1030130410339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105725439 + ... + 105735181.

It is an arithmetic number, because the mean of its divisors is an integer number (18298296576).

Almost surely, 21030130410330 is an apocalyptic number.

1030130410330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1030130410330 is an abundant number, since it is smaller than the sum of its proper divisors (1312051551398).

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

1030130410330 is a wasteful number, since it uses less digits than its factorization.

1030130410330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13660.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 1030130410330 its reverse (330140310301), we get a palindrome (1360270720631).

The spelling of 1030130410330 in words is "one trillion, thirty billion, one hundred thirty million, four hundred ten thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 17 23 34 35 46 70 85 115 119 161 170 230 238 322 391 595 782 805 1190 1610 1955 2737 3863 3910 5474 7726 9743 13685 19315 19486 27041 27370 38630 48715 54082 65671 68201 88849 97430 131342 135205 136402 165631 177698 224089 270410 328355 331262 341005 444245 448178 459697 621943 656710 682010 828155 888490 919394 1120445 1159417 1243886 1510433 1568623 1656310 2240890 2298485 2318834 3020866 3109715 3137246 3809513 4596970 5797085 6219430 7552165 7619026 7843115 10573031 11594170 15104330 15686230 19047565 21146062 26666591 37637209 38095130 52865155 53333182 75274418 105730310 133332955 188186045 263460463 266665910 376372090 526920926 639832553 865655807 1279665106 1317302315 1731311614 2634604630 3199162765 4328279035 4478827871 6059590649 6398325530 8656558070 8957655742 12119181298 14716148719 22394139355 29432297438 30297953245 44788278710 60595906490 73580743595 103013041033 147161487190 206026082066 515065205165 1030130410330