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13531201020 = 22325421178559
BaseRepresentation
bin11001001101000010…
…11011110111111100
31021221000100020021100
430212201123313330
5210202441413040
610114404333100
7656213211441
oct144641336774
937830306240
1013531201020
115814012667
1227576a4190
13137845c62c
149251239c8
15542dceb30
hex32685bdfc

13531201020 has 72 divisors (see below), whose sum is σ = 41142366720. Its totient is φ = 3599729280.

The previous prime is 13531200997. The next prime is 13531201043. The reversal of 13531201020 is 2010213531.

13531201020 is a `hidden beast` number, since 13 + 531 + 20 + 102 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13531200997) and next prime (13531201043).

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

It is a junction number, because it is equal to n+sod(n) for n = 13531200984 and 13531201002.

It is a congruent number.

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, 13500 + ... + 165059.

It is an arithmetic number, because the mean of its divisors is an integer number (571421760).

Almost surely, 213531201020 is an apocalyptic number.

13531201020 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 13531201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20571183360).

13531201020 is an abundant number, since it is smaller than the sum of its proper divisors (27611165700).

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

13531201020 is a wasteful number, since it uses less digits than its factorization.

13531201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178995 (or 178990 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 13531201020 its reverse (2010213531), we get a palindrome (15541414551).

The spelling of 13531201020 in words is "thirteen billion, five hundred thirty-one million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 421 842 1263 1684 2105 2526 3789 4210 5052 6315 7578 8420 12630 15156 18945 25260 37890 75780 178559 357118 535677 714236 892795 1071354 1607031 1785590 2142708 2678385 3214062 3571180 5356770 6428124 8035155 10713540 16070310 32140620 75173339 150346678 225520017 300693356 375866695 451040034 676560051 751733390 902080068 1127600085 1353120102 1503466780 2255200170 2706240204 3382800255 4510400340 6765600510 13531201020