Search a number
-
+
101131424 = 2531971051
BaseRepresentation
bin1100000011100…
…10010010100000
321001022000020022
412001302102200
5201342201144
614011333012
72335413542
oct601622240
9231260208
10101131424
11520a4599
1229a51168
1317c4b7a4
14d607692
158d29cee
hex60724a0

101131424 has 48 divisors (see below), whose sum is σ = 207841536. Its totient is φ = 48384000.

The previous prime is 101131417. The next prime is 101131427. The reversal of 101131424 is 424131101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101131427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95699 + ... + 96749.

It is an arithmetic number, because the mean of its divisors is an integer number (4330032).

Almost surely, 2101131424 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 101131424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103920768).

101131424 is an abundant number, since it is smaller than the sum of its proper divisors (106710112).

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

101131424 is a wasteful number, since it uses less digits than its factorization.

101131424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 101131424 is about 10056.4120838398. The cubic root of 101131424 is about 465.9028575594.

Adding to 101131424 its reverse (424131101), we get a palindrome (525262525).

The spelling of 101131424 in words is "one hundred one million, one hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 97 124 194 248 388 496 776 992 1051 1552 2102 3007 3104 4204 6014 8408 12028 16816 24056 32581 33632 48112 65162 96224 101947 130324 203894 260648 407788 521296 815576 1042592 1631152 3160357 3262304 6320714 12641428 25282856 50565712 101131424