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101156 = 2211319
BaseRepresentation
bin11000101100100100
312010202112
4120230210
511214111
62100152
7600626
oct305444
9163675
10101156
116a000
124a658
1337073
1428c16
151ee8b
hex18b24

101156 has 24 divisors (see below), whose sum is σ = 204960. Its totient is φ = 43560.

The previous prime is 101149. The next prime is 101159. The reversal of 101156 is 651101.

101156 is nontrivially palindromic in base 13.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 101156.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101156.

It is not an unprimeable number, because it can be changed into a prime (101159) by changing a digit.

101156 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5315 + ... + 5333.

It is an arithmetic number, because the mean of its divisors is an integer number (8540).

2101156 is an apocalyptic number.

It is an amenable number.

101156 is an abundant number, since it is smaller than the sum of its proper divisors (103804).

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

101156 is a wasteful number, since it uses less digits than its factorization.

101156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 101156 is about 318.0503104856. The cubic root of 101156 is about 46.5940594268.

Adding to 101156 its reverse (651101), we get a palindrome (752257).

Subtracting 101156 from its reverse (651101), we obtain a palindrome (549945).

It can be divided in two parts, 1011 and 56, that multiplied together give a triangular number (56616 = T336).

The spelling of 101156 in words is "one hundred one thousand, one hundred fifty-six".

Divisors: 1 2 4 11 19 22 38 44 76 121 209 242 418 484 836 1331 2299 2662 4598 5324 9196 25289 50578 101156