Search a number
-
+
13030601220 = 22345713157563
BaseRepresentation
bin11000010001010111…
…10011001000000100
31020122010101010110000
430020223303020010
5203141313214340
65553003001300
7640624166010
oct141053631004
936563333400
1013030601220
11558748661a
122637b09230
1312c8827530
148b8853540
15513e98d30
hex308af3204

13030601220 has 480 divisors, whose sum is σ = 50721124608. Its totient is φ = 2726949888.

The previous prime is 13030601219. The next prime is 13030601237. The reversal of 13030601220 is 2210603031.

13030601220 is a `hidden beast` number, since 1 + 30 + 30 + 601 + 2 + 2 + 0 = 666.

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 = 13030601193 and 13030601202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23144659 + ... + 23145221.

Almost surely, 213030601220 is an apocalyptic number.

13030601220 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 13030601220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25360562304).

13030601220 is an abundant number, since it is smaller than the sum of its proper divisors (37690523388).

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

13030601220 is a wasteful number, since it uses less digits than its factorization.

13030601220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The spelling of 13030601220 in words is "thirteen billion, thirty million, six hundred one thousand, two hundred twenty".