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13420250312 = 2372397163659
BaseRepresentation
bin11000111111110100…
…01100010011001000
31021122021120100111212
430133322030103020
5204441041002222
610055402312252
7653365150130
oct143772142310
937567510455
1013420250312
115767421767
1227264b8688
13135b483621
149144c1ac0
155382b56e2
hex31fe8c4c8

13420250312 has 128 divisors (see below), whose sum is σ = 30549657600. Its totient is φ = 5403138048.

The previous prime is 13420250299. The next prime is 13420250317. The reversal of 13420250312 is 21305202431.

13420250312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (13420250317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20364239 + ... + 20364897.

It is an arithmetic number, because the mean of its divisors is an integer number (238669200).

Almost surely, 213420250312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13420250312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15274828800).

13420250312 is an abundant number, since it is smaller than the sum of its proper divisors (17129407288).

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

13420250312 is a wasteful number, since it uses less digits than its factorization.

13420250312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 13420250312 its reverse (21305202431), we get a palindrome (34725452743).

The spelling of 13420250312 in words is "thirteen billion, four hundred twenty million, two hundred fifty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 97 161 163 184 194 322 326 388 644 652 659 679 776 1141 1288 1304 1318 1358 2231 2282 2636 2716 3749 4462 4564 4613 5272 5432 7498 8924 9128 9226 14996 15157 15617 15811 17848 18452 26243 29992 30314 31234 31622 36904 52486 60628 62468 63244 63923 104972 106099 107417 110677 121256 124936 126488 127846 209944 212198 214834 221354 255692 363653 424396 429668 442708 447461 511384 727306 751919 848792 859336 885416 894922 1454612 1470229 1503838 1789844 2470591 2545571 2909224 2940458 3007676 3579688 4941182 5091142 5880916 6015352 9882364 10182284 10291603 10419449 11761832 17294137 19764728 20364568 20583206 20838898 34588274 41166412 41677796 69176548 72936143 82332824 83355592 138353096 145872286 239647327 291744572 479294654 583489144 958589308 1677531289 1917178616 3355062578 6710125156 13420250312