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13000321110 = 23573713912037
BaseRepresentation
bin11000001101110000…
…10010100001010110
31020120000101201221110
430012320102201112
5203111040233420
65550001555450
7640105622550
oct140670224126
936500351843
1013000321110
115571384737
122629945b86
1312c2484bca
148b48104d0
155114b6ee0
hex306e12856

13000321110 has 128 divisors (see below), whose sum is σ = 36888284160. Its totient is φ = 2870152704.

The previous prime is 13000321067. The next prime is 13000321127. The reversal of 13000321110 is 1112300031.

It is a super-2 number, since 2×130003211102 (a number of 21 digits) contains 22 as substring.

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, 1074012 + ... + 1086048.

It is an arithmetic number, because the mean of its divisors is an integer number (288189720).

Almost surely, 213000321110 is an apocalyptic number.

13000321110 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 13000321110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18444142080).

13000321110 is an abundant number, since it is smaller than the sum of its proper divisors (23887963050).

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

13000321110 is a wasteful number, since it uses less digits than its factorization.

13000321110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12230.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13000321110 its reverse (1112300031), we get a palindrome (14112621141).

The spelling of 13000321110 in words is "thirteen billion, three hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 139 185 210 222 259 278 370 417 518 555 695 777 834 973 1110 1295 1390 1554 1946 2085 2590 2919 3885 4170 4865 5143 5838 7770 9730 10286 12037 14595 15429 24074 25715 29190 30858 36001 36111 51430 60185 72002 72222 77145 84259 108003 120370 154290 168518 180005 180555 216006 252777 360010 361110 421295 445369 505554 540015 842590 890738 1080030 1263885 1336107 1673143 2226845 2527770 2672214 3117583 3346286 4453690 5019429 6235166 6680535 8365715 9352749 10038858 11712001 13361070 15587915 16731430 18705498 23424002 25097145 31175830 35136003 46763745 50194290 58560005 61906291 70272006 93527490 117120010 123812582 175680015 185718873 309531455 351360030 371437746 433344037 619062910 866688074 928594365 1300032111 1857188730 2166720185 2600064222 4333440370 6500160555 13000321110