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10030010034 = 2311616613769
BaseRepresentation
bin10010101011101010…
…11100111010110010
3221220000020022011010
421111311130322302
5131020140310114
64335133531350
7503360451522
oct112565347262
927800208133
1010030010034
114287751aa0
121b3b043b56
13c3ac96ba5
146b2135682
153da839c59
hex255d5ceb2

10030010034 has 64 divisors (see below), whose sum is σ = 22281966720. Its totient is φ = 2984256000.

The previous prime is 10030009999. The next prime is 10030010051. The reversal of 10030010034 is 43001003001.

It is a super-2 number, since 2×100300100342 (a number of 21 digits) contains 22 as substring.

It is a Curzon 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, 2659302 + ... + 2663070.

It is an arithmetic number, because the mean of its divisors is an integer number (348155730).

Almost surely, 210030010034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10030010034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11140983360).

10030010034 is an abundant number, since it is smaller than the sum of its proper divisors (12251956686).

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

10030010034 is a wasteful number, since it uses less digits than its factorization.

10030010034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4507.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10030010034 its reverse (43001003001), we get a palindrome (53031013035).

The spelling of 10030010034 in words is "ten billion, thirty million, ten thousand, thirty-four".

Divisors: 1 2 3 6 11 22 33 61 66 122 183 366 661 671 1322 1342 1983 2013 3769 3966 4026 7271 7538 11307 14542 21813 22614 40321 41459 43626 80642 82918 120963 124377 229909 241926 248754 443531 459818 689727 887062 1330593 1379454 2491309 2528999 2661186 4982618 5057998 7473927 7586997 14947854 15173994 27404399 54808798 82213197 151969849 164426394 303939698 455909547 911819094 1671668339 3343336678 5015005017 10030010034