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13011133050 = 23252109726357
BaseRepresentation
bin11000001111000011…
…00010001001111010
31020120202202001010200
430013201202021322
5203121322224200
65551025423030
7640266543336
oct140741421172
936522661120
1013011133050
115577499923
12263149aa76
1312c479c1c6
148b60267c6
15512400800
hex30786227a

13011133050 has 72 divisors (see below), whose sum is σ = 34989770556. Its totient is φ = 3466341120.

The previous prime is 13011133013. The next prime is 13011133103. The reversal of 13011133050 is 5033111031.

It can be written as a sum of positive squares in 6 ways, for example, as 2690808129 + 10320324921 = 51873^2 + 101589^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 480472 + ... + 506828.

Almost surely, 213011133050 is an apocalyptic number.

13011133050 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 13011133050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17494885278).

13011133050 is an abundant number, since it is smaller than the sum of its proper divisors (21978637506).

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

13011133050 is a wasteful number, since it uses less digits than its factorization.

13011133050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27472 (or 27464 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

Adding to 13011133050 its reverse (5033111031), we get a palindrome (18044244081).

The spelling of 13011133050 in words is "thirteen billion, eleven million, one hundred thirty-three thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 1097 2194 3291 5485 6582 9873 10970 16455 19746 26357 27425 32910 49365 52714 54850 79071 82275 98730 131785 158142 164550 237213 246825 263570 395355 474426 493650 658925 790710 1186065 1317850 1976775 2372130 3953550 5930325 11860650 28913629 57827258 86740887 144568145 173481774 260222661 289136290 433704435 520445322 722840725 867408870 1301113305 1445681450 2168522175 2602226610 4337044350 6505566525 13011133050