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13221442410 = 23511199721739
BaseRepresentation
bin11000101000000111…
…10011001101101010
31021010102110212100020
430110003303031222
5204034142124120
610023541221310
7645432256221
oct142403631552
937112425306
1013221442410
115675183410
12268ba01836
131329225b07
148d5d2dcb8
15525ae4640
hex3140f336a

13221442410 has 128 divisors (see below), whose sum is σ = 36815385600. Its totient is φ = 3005061120.

The previous prime is 13221442393. The next prime is 13221442427. The reversal of 13221442410 is 1424412231.

It is an interprime number because it is at equal distance from previous prime (13221442393) and next prime (13221442427).

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, 597321 + ... + 619059.

It is an arithmetic number, because the mean of its divisors is an integer number (287620200).

Almost surely, 213221442410 is an apocalyptic number.

13221442410 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 13221442410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18407692800).

13221442410 is an abundant number, since it is smaller than the sum of its proper divisors (23593943190).

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

13221442410 is a wasteful number, since it uses less digits than its factorization.

13221442410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21876.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13221442410 its reverse (1424412231), we get a palindrome (14645854641).

The spelling of 13221442410 in words is "thirteen billion, two hundred twenty-one million, four hundred forty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 97 110 114 165 190 194 209 285 291 330 418 485 570 582 627 970 1045 1067 1254 1455 1843 2090 2134 2910 3135 3201 3686 5335 5529 6270 6402 9215 10670 11058 16005 18430 20273 21739 27645 32010 40546 43478 55290 60819 65217 101365 108695 121638 130434 202730 217390 239129 304095 326085 413041 478258 608190 652170 717387 826082 1195645 1239123 1434774 2065205 2108683 2391290 2478246 3586935 4130410 4217366 4543451 6195615 6326049 7173870 9086902 10543415 12391230 12652098 13630353 21086830 22717255 23195513 27260706 31630245 40064977 45434510 46391026 63260490 68151765 69586539 80129954 115977565 120194931 136303530 139173078 200324885 231955130 240389862 347932695 400649770 440714747 600974655 695865390 881429494 1201949310 1322144241 2203573735 2644288482 4407147470 6610721205 13221442410