Search a number
-
+
100110144141 = 32743103358783
BaseRepresentation
bin101110100111100000…
…1111001001010001101
3100120101211220020121100
41131033001321022031
53120011144103031
6113553455453313
710142552120310
oct1351701711215
9316354806540
10100110144141
1139502626017
121749a827239
1395955955a7
144bb9932977
15290dc44de6
hex174f07928d

100110144141 has 48 divisors (see below), whose sum is σ = 170746740736. Its totient is φ = 55332795168.

The previous prime is 100110144133. The next prime is 100110144151. The reversal of 100110144141 is 141441011001.

It is not a de Polignac number, because 100110144141 - 23 = 100110144133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110144151) 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 47 ways as a sum of consecutive naturals, for example, 99636 + ... + 458418.

Almost surely, 2100110144141 is an apocalyptic number.

It is an amenable number.

100110144141 is a deficient number, since it is larger than the sum of its proper divisors (70636596595).

100110144141 is a wasteful number, since it uses less digits than its factorization.

100110144141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358942 (or 358939 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100110144141 its reverse (141441011001), we get a palindrome (241551155142).

The spelling of 100110144141 in words is "one hundred billion, one hundred ten million, one hundred forty-four thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 43 63 103 129 301 309 387 721 903 927 2163 2709 4429 6489 13287 31003 39861 93009 279027 358783 1076349 2511481 3229047 7534443 15427669 22603329 36954649 46283007 107993683 110863947 138849021 258682543 323981049 332591841 776047629 971943147 1589049907 2328142887 4767149721 11123349349 14301449163 33370048047 100110144141