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10141130052 = 2232377613461
BaseRepresentation
bin10010111000111010…
…10101110101000100
3222011202022210011100
421130131111311010
5131232112130202
64354143340100
7506210116554
oct113435256504
928152283140
1010141130052
114334449119
121b702b1630
13c58001c91
146c2bbd164
153e548941c
hex25c755d44

10141130052 has 36 divisors (see below), whose sum is σ = 26327351596. Its totient is φ = 3289014720.

The previous prime is 10141130047. The next prime is 10141130107. The reversal of 10141130052 is 25003114101.

10141130052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8920046916 + 1221083136 = 94446^2 + 34944^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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 11 ways as a sum of consecutive naturals, for example, 3805399 + ... + 3808062.

Almost surely, 210141130052 is an apocalyptic number.

10141130052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10141130052 is an abundant number, since it is smaller than the sum of its proper divisors (16186221544).

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

10141130052 is a wasteful number, since it uses less digits than its factorization.

10141130052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7613508 (or 7613503 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10141130052 its reverse (25003114101), we get a palindrome (35144244153).

The spelling of 10141130052 in words is "ten billion, one hundred forty-one million, one hundred thirty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 7613461 15226922 22840383 30453844 45680766 68521149 91361532 137042298 274084596 281698057 563396114 845094171 1126792228 1690188342 2535282513 3380376684 5070565026 10141130052