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2012134332 = 22313731091621
BaseRepresentation
bin111011111101110…
…1011101110111100
312012020012000101210
41313323223232330
513110101244312
6531355004420
7100601600565
oct16773535674
95166160353
102012134332
1194288533a
12481a39710
13260b35540
1415133716c
15bb9ace3c
hex77eebbbc

2012134332 has 96 divisors (see below), whose sum is σ = 5175607360. Its totient is φ = 604661760.

The previous prime is 2012134321. The next prime is 2012134337. The reversal of 2012134332 is 2334312102.

It is a junction number, because it is equal to n+sod(n) for n = 2012134299 and 2012134308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012134337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1240482 + ... + 1242102.

Almost surely, 22012134332 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 2012134332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587803680).

2012134332 is an abundant number, since it is smaller than the sum of its proper divisors (3163473028).

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

2012134332 is a wasteful number, since it uses less digits than its factorization.

2012134332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2012134332 is about 44856.8203509790. The cubic root of 2012134332 is about 1262.4639640990.

Adding to 2012134332 its reverse (2334312102), we get a palindrome (4346446434).

The spelling of 2012134332 in words is "two billion, twelve million, one hundred thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 73 78 109 146 156 218 219 292 327 436 438 654 876 949 1308 1417 1621 1898 2834 2847 3242 3796 4251 4863 5668 5694 6484 7957 8502 9726 11388 15914 17004 19452 21073 23871 31828 42146 47742 63219 84292 95484 103441 118333 126438 176689 206882 236666 252876 310323 353378 354999 413764 473332 530067 620646 706756 709998 1060134 1241292 1419996 1538329 2120268 2296957 3076658 4593914 4614987 6153316 6890871 9187828 9229974 12898297 13781742 18459948 25796594 27563484 38694891 51593188 77389782 154779564 167677861 335355722 503033583 670711444 1006067166 2012134332