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10021411134 = 2327591348051
BaseRepresentation
bin10010101010101001…
…01001100100111110
3221212102001102200100
421111110221210332
5131010440124014
64334225341530
7503224406040
oct112524514476
927772042610
1010021411134
114282909569
121b381978a6
13c39275c97
146b0d37a90
153d9bdc009
hex25552993e

10021411134 has 48 divisors (see below), whose sum is σ = 25235533440. Its totient is φ = 2814728400.

The previous prime is 10021411117. The next prime is 10021411177. The reversal of 10021411134 is 43111412001.

10021411134 is a `hidden beast` number, since 100 + 21 + 411 + 134 = 666.

10021411134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100214111342 (a number of 21 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 666592 + ... + 681459.

It is an arithmetic number, because the mean of its divisors is an integer number (525740280).

Almost surely, 210021411134 is an apocalyptic number.

10021411134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10021411134 is an abundant number, since it is smaller than the sum of its proper divisors (15214122306).

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

10021411134 is a wasteful number, since it uses less digits than its factorization.

10021411134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348125 (or 1348122 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10021411134 its reverse (43111412001), we get a palindrome (53132823135).

The spelling of 10021411134 in words is "ten billion, twenty-one million, four hundred eleven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 118 126 177 354 413 531 826 1062 1239 2478 3717 7434 1348051 2696102 4044153 8088306 9436357 12132459 18872714 24264918 28309071 56618142 79535009 84927213 159070018 169854426 238605027 477210054 556745063 715815081 1113490126 1431630162 1670235189 3340470378 5010705567 10021411134