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13305511060 = 22541473131103
BaseRepresentation
bin11000110010001000…
…11111110010010100
31021100021122222211221
430121010133302110
5204222202323220
610040143140124
7650502656302
oct143104376224
937307588757
1013305511060
115708683436
1226b3ba4644
13134077c08a
14903175272
1552d19d9aa
hex31911fc94

13305511060 has 96 divisors (see below), whose sum is σ = 29352056832. Its totient is φ = 5061089280.

The previous prime is 13305510997. The next prime is 13305511061. The reversal of 13305511060 is 6011550331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13305511061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12062469 + ... + 12063571.

It is an arithmetic number, because the mean of its divisors is an integer number (305750592).

Almost surely, 213305511060 is an apocalyptic number.

13305511060 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 13305511060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14676028416).

13305511060 is an abundant number, since it is smaller than the sum of its proper divisors (16046545772).

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

13305511060 is a wasteful number, since it uses less digits than its factorization.

13305511060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

The spelling of 13305511060 in words is "thirteen billion, three hundred five million, five hundred eleven thousand, sixty".

Divisors: 1 2 4 5 10 20 41 47 82 94 164 188 205 235 313 410 470 626 820 940 1103 1252 1565 1927 2206 3130 3854 4412 5515 6260 7708 9635 11030 12833 14711 19270 22060 25666 29422 38540 45223 51332 51841 58844 64165 73555 90446 103682 128330 147110 180892 207364 226115 256660 259205 294220 345239 452230 518410 603151 690478 904460 1036820 1206302 1380956 1726195 2125481 2412604 3015755 3452390 4250962 6031510 6904780 8501924 10627405 12063020 14154799 16226233 21254810 28309598 32452466 42509620 56619196 64904932 70773995 81131165 141547990 162262330 283095980 324524660 665275553 1330551106 2661102212 3326377765 6652755530 13305511060