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13220213240 = 235132310910141
BaseRepresentation
bin11000100111111110…
…00111000111111000
31021010100011102020102
430103333013013320
5204033333310430
610023455014532
7645415646513
oct142377070770
937110142212
1013220213240
115674513973
12268b50a448
131328bb54b0
148d5acdd7a
15525950345
hex313fc71f8

13220213240 has 128 divisors (see below), whose sum is σ = 33736348800. Its totient is φ = 4625786880.

The previous prime is 13220213233. The next prime is 13220213261. The reversal of 13220213240 is 4231202231.

It is a super-2 number, since 2×132202132402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1298570 + ... + 1308710.

It is an arithmetic number, because the mean of its divisors is an integer number (263565225).

Almost surely, 213220213240 is an apocalyptic number.

13220213240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13220213240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16868174400).

13220213240 is an abundant number, since it is smaller than the sum of its proper divisors (20516135560).

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

13220213240 is a wasteful number, since it uses less digits than its factorization.

13220213240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10297 (or 10293 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13220213240 its reverse (4231202231), we get a palindrome (17451415471).

The spelling of 13220213240 in words is "thirteen billion, two hundred twenty million, two hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 109 115 130 184 218 230 260 299 436 460 520 545 598 872 920 1090 1196 1417 1495 2180 2392 2507 2834 2990 4360 5014 5668 5980 7085 10028 10141 11336 11960 12535 14170 20056 20282 25070 28340 32591 40564 50140 50705 56680 65182 81128 100280 101410 130364 131833 162955 202820 233243 260728 263666 325910 405640 466486 527332 651820 659165 932972 1054664 1105369 1166215 1303640 1318330 1865944 2210738 2332430 2636660 3032159 4421476 4664860 5273320 5526845 6064318 8842952 9329720 11053690 12128636 14369797 15160795 22107380 24257272 25423487 28739594 30321590 44214760 50846974 57479188 60643180 71848985 101693948 114958376 121286360 127117435 143697970 203387896 254234870 287395940 330505331 508469740 574791880 661010662 1016939480 1322021324 1652526655 2644042648 3305053310 6610106620 13220213240