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1020013544 = 2311210110433
BaseRepresentation
bin111100110011000…
…010101111101000
32122002100001112102
4330303002233220
54042110413134
6245114232532
734163654264
oct7463025750
92562301472
101020013544
11483853300
12245725748
13133426814
149967b0a4
155e83637e
hex3ccc2be8

1020013544 has 48 divisors (see below), whose sum is σ = 2123214660. Its totient is φ = 459008000.

The previous prime is 1020013543. The next prime is 1020013571. The reversal of 1020013544 is 4453100201.

It can be written as a sum of positive squares in 2 ways, for example, as 888636100 + 131377444 = 29810^2 + 11462^2 .

It is not an unprimeable number, because it can be changed into a prime (1020013543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92552 + ... + 102984.

Almost surely, 21020013544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020013544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061607330).

1020013544 is an abundant number, since it is smaller than the sum of its proper divisors (1103201116).

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

1020013544 is a wasteful number, since it uses less digits than its factorization.

1020013544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10562 (or 10547 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1020013544 is about 31937.6508841837. The cubic root of 1020013544 is about 1006.6271649972.

Adding to 1020013544 its reverse (4453100201), we get a palindrome (5473113745).

The spelling of 1020013544 in words is "one billion, twenty million, thirteen thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 101 121 202 242 404 484 808 968 1111 2222 4444 8888 10433 12221 20866 24442 41732 48884 83464 97768 114763 229526 459052 918104 1053733 1262393 2107466 2524786 4214932 5049572 8429864 10099144 11591063 23182126 46364252 92728504 127501693 255003386 510006772 1020013544