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2036135112 = 2331141313601
BaseRepresentation
bin111100101011100…
…1111010011001000
312020220100101021120
41321113033103020
513132222310422
6534013235240
7101312601654
oct17127172310
95226311246
102036135112
119553884a0
12489a92b20
13265ab999b
141545c3a64
15bdb4e45c
hex795cf4c8

2036135112 has 128 divisors (see below), whose sum is σ = 5716206720. Its totient is φ = 599040000.

The previous prime is 2036135093. The next prime is 2036135117. The reversal of 2036135112 is 2115316302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2036135117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3387612 + ... + 3388212.

It is an arithmetic number, because the mean of its divisors is an integer number (44657865).

Almost surely, 22036135112 is an apocalyptic number.

2036135112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2036135112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858103360).

2036135112 is an abundant number, since it is smaller than the sum of its proper divisors (3680071608).

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

2036135112 is a wasteful number, since it uses less digits than its factorization.

2036135112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 2036135112 is about 45123.5538494033. The cubic root of 2036135112 is about 1267.4637029236.

The spelling of 2036135112 in words is "two billion, thirty-six million, one hundred thirty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 313 328 451 492 601 626 902 939 984 1202 1252 1353 1803 1804 1878 2404 2504 2706 3443 3606 3608 3756 4808 5412 6611 6886 7212 7512 10329 10824 12833 13222 13772 14424 19833 20658 24641 25666 26444 27544 38499 39666 41316 49282 51332 52888 73923 76998 79332 82632 98564 102664 141163 147846 153996 158664 188113 197128 271051 282326 295692 307992 376226 423489 542102 564339 564652 591384 752452 813153 846978 1084204 1128678 1129304 1504904 1626306 1693956 2069243 2168408 2257356 3252612 3387912 4138486 4514712 6207729 6505224 7712633 8276972 12415458 15425266 16553944 23137899 24830916 30850532 46275798 49661832 61701064 84838963 92551596 169677926 185103192 254516889 339355852 509033778 678711704 1018067556 2036135112