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10141122132 = 22331723147223
BaseRepresentation
bin10010111000111010…
…10011111001010100
3222011202022101022000
421130131103321110
5131232111402012
64354143235300
7506210054511
oct113435237124
928152271260
1010141122132
114334443179
121b702a8b30
13c57ccb4ab
146c2bba308
153e5486ddc
hex25c753e54

10141122132 has 288 divisors, whose sum is σ = 29575741440. Its totient is φ = 2999877120.

The previous prime is 10141122031. The next prime is 10141122133. The reversal of 10141122132 is 23122114101.

10141122132 is a `hidden beast` number, since 1 + 0 + 1 + 411 + 221 + 32 = 666.

It is a super-2 number, since 2×101411221322 (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 not an unprimeable number, because it can be changed into a prime (10141122133) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45475773 + ... + 45475995.

Almost surely, 210141122132 is an apocalyptic number.

10141122132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10141122132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14787870720).

10141122132 is an abundant number, since it is smaller than the sum of its proper divisors (19434619308).

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

10141122132 is a wasteful number, since it uses less digits than its factorization.

10141122132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 323 counting only the distinct ones).

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

Adding to 10141122132 its reverse (23122114101), we get a palindrome (33263236233).

The spelling of 10141122132 in words is "ten billion, one hundred forty-one million, one hundred twenty-two thousand, one hundred thirty-two".