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1020012512 = 25176073089
BaseRepresentation
bin111100110011000…
…010011111100000
32122002100000010012
4330303002133200
54042110400022
6245114224052
734163651261
oct7463023740
92562300105
101020012512
11483852552
12245725028
131334261cc
149967a968
155e835de2
hex3ccc27e0

1020012512 has 48 divisors (see below), whose sum is σ = 2130468480. Its totient is φ = 479059968.

The previous prime is 1020012493. The next prime is 1020012571. The reversal of 1020012512 is 2152100201.

1020012512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328664 + ... + 331752.

It is an arithmetic number, because the mean of its divisors is an integer number (44384760).

Almost surely, 21020012512 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 1020012512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065234240).

1020012512 is an abundant number, since it is smaller than the sum of its proper divisors (1110455968).

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

1020012512 is a wasteful number, since it uses less digits than its factorization.

1020012512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 1020012512 is about 31937.6347277002. The cubic root of 1020012512 is about 1006.6268255117.

Adding to 1020012512 its reverse (2152100201), we get a palindrome (3172112713).

The spelling of 1020012512 in words is "one billion, twenty million, twelve thousand, five hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 607 1214 2428 3089 4856 6178 9712 10319 12356 19424 20638 24712 41276 49424 52513 82552 98848 105026 165104 210052 330208 420104 840208 1680416 1875023 3750046 7500092 15000184 30000368 31875391 60000736 63750782 127501564 255003128 510006256 1020012512