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10331444106 = 2332343193451
BaseRepresentation
bin10011001111100110…
…10101001110001010
3222200000102201222000
421213303111032022
5132124322202411
64425102411430
7514010553204
oct114763251612
928600381860
1010331444106
114421915965
122003b90b76
13c88577649
1470019d774
1540702d956
hex267cd538a

10331444106 has 64 divisors (see below), whose sum is σ = 24514237440. Its totient is φ = 3217460400.

The previous prime is 10331444089. The next prime is 10331444141. The reversal of 10331444106 is 60144413301.

10331444106 is a `hidden beast` number, since 103 + 3 + 144 + 410 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10331444106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43320 + ... + 150131.

It is an arithmetic number, because the mean of its divisors is an integer number (383034960).

Almost surely, 210331444106 is an apocalyptic number.

10331444106 is an abundant number, since it is smaller than the sum of its proper divisors (14182793334).

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

10331444106 is a wasteful number, since it uses less digits than its factorization.

10331444106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193528 (or 193522 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10331444106 its reverse (60144413301), we get a palindrome (70475857407).

The spelling of 10331444106 in words is "ten billion, three hundred thirty-one million, four hundred forty-four thousand, one hundred six".

Divisors: 1 2 3 6 9 18 23 27 43 46 54 69 86 129 138 207 258 387 414 621 774 989 1161 1242 1978 2322 2967 5934 8901 17802 26703 53406 193451 386902 580353 1160706 1741059 3482118 4449373 5223177 8318393 8898746 10446354 13348119 16636786 24955179 26696238 40044357 49910358 74865537 80088714 120133071 149731074 191323039 224596611 240266142 382646078 449193222 573969117 1147938234 1721907351 3443814702 5165722053 10331444106