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100001132 = 22711417919
BaseRepresentation
bin1011111010111…
…10010101101100
320222011120202122
411331132111230
5201100014012
613531212112
72322665330
oct575362554
9228146678
10100001132
11514a2370
12295a7038
131794418a
14d3d17c0
158ba4e72
hex5f5e56c

100001132 has 48 divisors (see below), whose sum is σ = 223534080. Its totient is φ = 38006400.

The previous prime is 100001131. The next prime is 100001147. The reversal of 100001132 is 231100001.

It is not an unprimeable number, because it can be changed into a prime (100001131) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8669 + ... + 16587.

It is an arithmetic number, because the mean of its divisors is an integer number (4656960).

Almost surely, 2100001132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100001132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111767040).

100001132 is an abundant number, since it is smaller than the sum of its proper divisors (123532948).

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

100001132 is a wasteful number, since it uses less digits than its factorization.

100001132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7982 (or 7980 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 100001132 is about 10000.0565998398. The cubic root of 100001132 is about 464.1606347809.

Adding to 100001132 its reverse (231100001), we get a palindrome (331101133).

The spelling of 100001132 in words is "one hundred million, one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 41 44 77 82 154 164 287 308 451 574 902 1148 1804 3157 6314 7919 12628 15838 31676 55433 87109 110866 174218 221732 324679 348436 609763 649358 1219526 1298716 2272753 2439052 3571469 4545506 7142938 9091012 14285876 25000283 50000566 100001132