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2103106632 = 2331111716803
BaseRepresentation
bin111110101011010…
…1101110001001000
312102120100212221020
41331112231301020
513301343403012
6544404512440
7103055053134
oct17526556110
95376325836
102103106632
1198a170160
124a83ab720
13276937bc3
1415d4583c4
15c497ca8c
hex7d5adc48

2103106632 has 64 divisors (see below), whose sum is σ = 5741487360. Its totient is φ = 636667200.

The previous prime is 2103106631. The next prime is 2103106673. The reversal of 2103106632 is 2366013012.

It is a happy number.

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 (2103106631) 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 15 ways as a sum of consecutive naturals, for example, 305743 + ... + 312545.

It is an arithmetic number, because the mean of its divisors is an integer number (89710740).

Almost surely, 22103106632 is an apocalyptic number.

2103106632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2103106632 is an abundant number, since it is smaller than the sum of its proper divisors (3638380728).

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

2103106632 is a wasteful number, since it uses less digits than its factorization.

2103106632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7994 (or 7990 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 2103106632 is about 45859.6405568120. The cubic root of 2103106632 is about 1281.2103281724.

Adding to 2103106632 its reverse (2366013012), we get a palindrome (4469119644).

The spelling of 2103106632 in words is "two billion, one hundred three million, one hundred six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1171 2342 3513 4684 6803 7026 9368 12881 13606 14052 20409 25762 27212 28104 38643 40818 51524 54424 74833 77286 81636 103048 149666 154572 163272 224499 299332 309144 448998 598664 897996 1795992 7966313 15932626 23898939 31865252 47797878 63730504 87629443 95595756 175258886 191191512 262888329 350517772 525776658 701035544 1051553316 2103106632