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1213021312 = 271012929
BaseRepresentation
bin100100001001101…
…0011110010000000
310010112111212102021
41020103103302000
54441013140222
6320211131224
742026340166
oct11023236200
93115455367
101213021312
1157279a958
1229a2a3b14
131644032b9
14b715d236
157175dac7
hex484d3c80

1213021312 has 48 divisors (see below), whose sum is σ = 2443356450. Its totient is φ = 599859200.

The previous prime is 1213021301. The next prime is 1213021319. The reversal of 1213021312 is 2131203121.

It can be written as a sum of positive squares in 3 ways, for example, as 1192735296 + 20286016 = 34536^2 + 4504^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213021319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1305264 + ... + 1306192.

Almost surely, 21213021312 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 1213021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221678225).

1213021312 is an abundant number, since it is smaller than the sum of its proper divisors (1230335138).

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

1213021312 is an frugal number, since it uses more digits than its factorization.

1213021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1213021312 is about 34828.4554925997. The cubic root of 1213021312 is about 1066.4884188262.

Adding to 1213021312 its reverse (2131203121), we get a palindrome (3344224433).

The spelling of 1213021312 in words is "one billion, two hundred thirteen million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 808 929 1616 1858 3232 3716 6464 7432 10201 12928 14864 20402 29728 40804 59456 81608 93829 118912 163216 187658 326432 375316 652864 750632 1305728 1501264 3002528 6005056 9476729 12010112 18953458 37906916 75813832 151627664 303255328 606510656 1213021312