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13035541220 = 22513219719577
BaseRepresentation
bin11000010001111101…
…01001001011100100
31020122110200002211222
430020332221023210
5203144044304340
65553300515512
7641014162232
oct141076511344
936573602758
1013035541220
11558a250069
1226396abb98
1312c9866c00
148b937b952
155146228b5
hex308fa92e4

13035541220 has 72 divisors (see below), whose sum is σ = 29794348584. Its totient is φ = 4788446208.

The previous prime is 13035541201. The next prime is 13035541291. The reversal of 13035541220 is 2214553031.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 827943076 + 12207598144 = 28774^2 + 110488^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 13035541220.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 656072 + ... + 675648.

It is an arithmetic number, because the mean of its divisors is an integer number (413810397).

Almost surely, 213035541220 is an apocalyptic number.

13035541220 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 13035541220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14897174292).

13035541220 is an abundant number, since it is smaller than the sum of its proper divisors (16758807364).

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

13035541220 is a wasteful number, since it uses less digits than its factorization.

13035541220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19809 (or 19794 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 13035541220 in words is "thirteen billion, thirty-five million, five hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 197 260 338 394 676 788 845 985 1690 1970 2561 3380 3940 5122 10244 12805 19577 25610 33293 39154 51220 66586 78308 97885 133172 166465 195770 254501 332930 391540 509002 665860 1018004 1272505 2545010 3308513 3856669 5090020 6617026 7713338 13234052 15426676 16542565 19283345 33085130 38566690 50136697 66170260 77133380 100273394 200546788 250683485 501366970 651777061 1002733940 1303554122 2607108244 3258885305 6517770610 13035541220