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13000220310 = 23571123244687
BaseRepresentation
bin11000001101101111…
…11001111010010110
31020120000012121200010
430012313321322112
5203111024022220
65545555501050
7640105022640
oct140667717226
936500177603
1013000220310
115571315a30
1226298b7786
1312c244b06c
148b47c5890
155114971e0
hex306df9e96

13000220310 has 128 divisors (see below), whose sum is σ = 40590802944. Its totient is φ = 2583884160.

The previous prime is 13000220281. The next prime is 13000220323. The reversal of 13000220310 is 1302200031.

It is a happy number.

It is a super-2 number, since 2×130002203102 (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, 69214 + ... + 175473.

It is an arithmetic number, because the mean of its divisors is an integer number (317115648).

Almost surely, 213000220310 is an apocalyptic number.

13000220310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13000220310 is an abundant number, since it is smaller than the sum of its proper divisors (27590582634).

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

13000220310 is a wasteful number, since it uses less digits than its factorization.

13000220310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244738.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13000220310 its reverse (1302200031), we get a palindrome (14302420341).

The spelling of 13000220310 in words is "thirteen billion, two hundred twenty thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 23 30 33 35 42 46 55 66 69 70 77 105 110 115 138 154 161 165 210 230 231 253 322 330 345 385 462 483 506 690 759 770 805 966 1155 1265 1518 1610 1771 2310 2415 2530 3542 3795 4830 5313 7590 8855 10626 17710 26565 53130 244687 489374 734061 1223435 1468122 1712809 2446870 2691557 3425618 3670305 5138427 5383114 5627801 7340610 8074671 8564045 10276854 11255602 13457785 16149342 16883403 17128090 18840899 25692135 26915570 28139005 33766806 37681798 39394607 40373355 51384270 56278010 56522697 61905811 78789214 80746710 84417015 94204495 113045394 118183821 123811622 168834030 185717433 188408990 196973035 236367642 282613485 309529055 371434866 393946070 433340677 565226970 590919105 619058110 866681354 928587165 1181838210 1300022031 1857174330 2166703385 2600044062 4333406770 6500110155 13000220310