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101000541042 = 2325611141169
BaseRepresentation
bin101111000010000011…
…0011111001101110010
3100122200220100002112100
41132010012133031302
53123322114303132
6114222104041230
710203613301532
oct1360406371562
9318626302470
10101000541042
113991a199425
12176a8a63216
1396a7ba8c6b
144c61cad4c2
152961ec637c
hex178419f372

101000541042 has 12 divisors (see below), whose sum is σ = 218834505630. Its totient is φ = 33666847008.

The previous prime is 101000541041. The next prime is 101000541067. The reversal of 101000541042 is 240145000101.

It can be written as a sum of positive squares in only one way, i.e., 83364435441 + 17636105601 = 288729^2 + 132801^2 .

It is a super-2 number, since 2×1010005410422 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5611141169 = 101000541042 / (1 + 0 + 1 + 0 + 0 + 0 + 5 + 4 + 1 + 0 + 4 + 2).

It is not an unprimeable number, because it can be changed into a prime (101000541041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2805570567 + ... + 2805570602.

Almost surely, 2101000541042 is an apocalyptic number.

101000541042 is an abundant number, since it is smaller than the sum of its proper divisors (117833964588).

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

101000541042 is a wasteful number, since it uses less digits than its factorization.

101000541042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5611141177 (or 5611141174 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 101000541042 its reverse (240145000101), we get a palindrome (341145541143).

The spelling of 101000541042 in words is "one hundred one billion, five hundred forty-one thousand, forty-two".

Divisors: 1 2 3 6 9 18 5611141169 11222282338 16833423507 33666847014 50500270521 101000541042