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1263200106 = 237247113809
BaseRepresentation
bin100101101001010…
…1110011101101010
310021000221012210010
41023102232131222
510041334400411
6325202432350
743206011100
oct11322563552
93230835703
101263200106
11599052a33
122b30626b6
13171921bac
14bdaa1c70
1575d717a6
hex4b4ae76a

1263200106 has 96 divisors (see below), whose sum is σ = 3031706880. Its totient is φ = 349676544.

The previous prime is 1263200087. The next prime is 1263200129. The reversal of 1263200106 is 6010023621.

It is a happy number.

It is a super-2 number, since 2×12632001062 = 3191349015596822472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1561030 + ... + 1561838.

It is an arithmetic number, because the mean of its divisors is an integer number (31580280).

Almost surely, 21263200106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1263200106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515853440).

1263200106 is an abundant number, since it is smaller than the sum of its proper divisors (1768506774).

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

1263200106 is a wasteful number, since it uses less digits than its factorization.

1263200106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1263200106 is about 35541.5265007006. The cubic root of 1263200106 is about 1080.9959109097.

Adding to 1263200106 its reverse (6010023621), we get a palindrome (7273223727).

The spelling of 1263200106 in words is "one billion, two hundred sixty-three million, two hundred thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 42 47 49 94 98 113 141 147 226 282 294 329 339 658 678 791 809 987 1582 1618 1974 2303 2373 2427 4606 4746 4854 5311 5537 5663 6909 10622 11074 11326 13818 15933 16611 16989 31866 33222 33978 37177 38023 39641 74354 76046 79282 91417 111531 114069 118923 182834 223062 228138 237846 260239 266161 274251 520478 532322 548502 639919 780717 798483 1279838 1561434 1596966 1863127 1919757 3726254 3839514 4296599 4479433 5589381 8593198 8958866 11178762 12889797 13438299 25779594 26876598 30076193 60152386 90228579 180457158 210533351 421066702 631600053 1263200106