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105145031141 = 296754114787
BaseRepresentation
bin110000111101100100…
…0011101100111100101
3101001101201221000010122
41201323020131213211
53210314111444031
6120145234531325
710411410006203
oct1417310354745
9331351830118
10105145031141
11406566a1157
1218464a36b45
139bb871a677
1451364b6073
152b05c8d47b
hex187b21d9e5

105145031141 has 8 divisors (see below), whose sum is σ = 110394167520. Its totient is φ = 100004124528.

The previous prime is 105145031081. The next prime is 105145031143. The reversal of 105145031141 is 141130541501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105145031141 - 26 = 105145031077 is a prime.

It is a super-2 number, since 2×1051450311412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105145031141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105145031143) 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, 27055451 + ... + 27059336.

It is an arithmetic number, because the mean of its divisors is an integer number (13799270940).

Almost surely, 2105145031141 is an apocalyptic number.

It is an amenable number.

105145031141 is a deficient number, since it is larger than the sum of its proper divisors (5249136379).

105145031141 is an equidigital number, since it uses as much as digits as its factorization.

105145031141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54114883.

The product of its (nonzero) digits is 1200, while the sum is 26.

Adding to 105145031141 its reverse (141130541501), we get a palindrome (246275572642).

The spelling of 105145031141 in words is "one hundred five billion, one hundred forty-five million, thirty-one thousand, one hundred forty-one".

Divisors: 1 29 67 1943 54114787 1569328823 3625690729 105145031141