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10002310002 = 233595775441
BaseRepresentation
bin10010101000010111…
…10010001101110010
3221211002002222212000
421110023302031302
5130441042410002
64332304114430
7502603142436
oct112413621562
927732088760
1010002310002
114273052603
121b31905a16
13c35318a39
146ac5a49c6
153d81b761c
hex2542f2372

10002310002 has 64 divisors (see below), whose sum is σ = 22647427200. Its totient is φ = 3271311360.

The previous prime is 10002309983. The next prime is 10002310007. The reversal of 10002310002 is 20001320001.

It is a happy number.

It is a super-2 number, since 2×100023100022 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10002310007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1835602 + ... + 1841042.

It is an arithmetic number, because the mean of its divisors is an integer number (353866050).

Almost surely, 210002310002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002310002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11323713600).

10002310002 is an abundant number, since it is smaller than the sum of its proper divisors (12645117198).

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

10002310002 is a wasteful number, since it uses less digits than its factorization.

10002310002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6088 (or 6082 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10002310002 its reverse (20001320001), we get a palindrome (30003630003).

Subtracting 10002310002 from its reverse (20001320001), we obtain a palindrome (9999009999).

The spelling of 10002310002 in words is "ten billion, two million, three hundred ten thousand, two".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 354 531 577 1062 1154 1593 1731 3186 3462 5193 5441 10386 10882 15579 16323 31158 32646 34043 48969 68086 97938 102129 146907 204258 293814 306387 321019 612774 642038 919161 963057 1838322 1926114 2889171 3139457 5778342 6278914 8667513 9418371 17335026 18836742 28255113 56510226 84765339 169530678 185227963 370455926 555683889 1111367778 1667051667 3334103334 5001155001 10002310002