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1020135512 = 231122334523
BaseRepresentation
bin111100110011100…
…000100001011000
32122002120020211202
4330303200201120
54042123314022
6245121013332
734165003004
oct7463404130
92562506752
101020135512
11483926a00
12245784248
1313346a1a6
14996ad704
155e85c592
hex3cce0858

1020135512 has 48 divisors (see below), whose sum is σ = 2111938920. Its totient is φ = 461605760.

The previous prime is 1020135509. The next prime is 1020135521. The reversal of 1020135512 is 2155310201.

It is a happy number.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 223283 + ... + 227805.

Almost surely, 21020135512 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 1020135512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055969460).

1020135512 is an abundant number, since it is smaller than the sum of its proper divisors (1091803408).

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

1020135512 is a wasteful number, since it uses less digits than its factorization.

1020135512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4784 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 1020135512 is about 31939.5602975370. The cubic root of 1020135512 is about 1006.6672858399.

Adding to 1020135512 its reverse (2155310201), we get a palindrome (3175445713).

The spelling of 1020135512 in words is "one billion, twenty million, one hundred thirty-five thousand, five hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 121 233 242 466 484 932 968 1864 2563 4523 5126 9046 10252 18092 20504 28193 36184 49753 56386 99506 112772 199012 225544 398024 547283 1053859 1094566 2107718 2189132 4215436 4378264 8430872 11592449 23184898 46369796 92739592 127516939 255033878 510067756 1020135512