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2000106702 = 2331110731469
BaseRepresentation
bin111011100110111…
…0011010011001110
312011101112221121000
41313031303103032
513044011403302
6530245121130
7100364424606
oct16715632316
95141487530
102000106702
1193700a850
124799b91a6
1325b4b3ab9
1414d8c5c06
15ba8d431c
hex773734ce

2000106702 has 64 divisors (see below), whose sum is σ = 4894214400. Its totient is φ = 600409440.

The previous prime is 2000106683. The next prime is 2000106721. The reversal of 2000106702 is 2076010002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2000106683) and next prime (2000106721).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47824 + ... + 79292.

It is an arithmetic number, because the mean of its divisors is an integer number (76472100).

Almost surely, 22000106702 is an apocalyptic number.

2000106702 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000106702, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447107200).

2000106702 is an abundant number, since it is smaller than the sum of its proper divisors (2894107698).

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

2000106702 is a wasteful number, since it uses less digits than its factorization.

2000106702 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31598 (or 31592 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2000106702 is about 44722.5524987114. The cubic root of 2000106702 is about 1259.9434555124.

Adding to 2000106702 its reverse (2076010002), we get a palindrome (4076116704).

The spelling of 2000106702 in words is "two billion, one hundred six thousand, seven hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 107 198 214 297 321 594 642 963 1177 1926 2354 2889 3531 5778 7062 10593 21186 31469 31779 62938 63558 94407 188814 283221 346159 566442 692318 849663 1038477 1699326 2076954 3115431 3367183 6230862 6734366 9346293 10101549 18692586 20203098 30304647 37039013 60609294 74078026 90913941 111117039 181827882 222234078 333351117 666702234 1000053351 2000106702