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145404100131 = 3234394800241
BaseRepresentation
bin1000011101101011000…
…0100111111000100011
3111220022110110121110220
42013122300213320203
54340241422201011
6150444150254123
713335151313163
oct2073260477043
9456273417426
10145404100131
11567359075a4
122421b657343
1310933369494
1470752405a3
153bb039b506
hex21dac27e23

145404100131 has 16 divisors (see below), whose sum is σ = 202762222080. Its totient is φ = 92510225280.

The previous prime is 145404100117. The next prime is 145404100159. The reversal of 145404100131 is 131001404541.

It is a happy number.

145404100131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145404100131 - 218 = 145403837987 is a prime.

It is a super-2 number, since 2×1454041001312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145404100931) 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 15 ways as a sum of consecutive naturals, for example, 2369830 + ... + 2430411.

It is an arithmetic number, because the mean of its divisors is an integer number (12672638880).

Almost surely, 2145404100131 is an apocalyptic number.

145404100131 is a deficient number, since it is larger than the sum of its proper divisors (57358121949).

145404100131 is a wasteful number, since it uses less digits than its factorization.

145404100131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4800706.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 145404100131 its reverse (131001404541), we get a palindrome (276405504672).

The spelling of 145404100131 in words is "one hundred forty-five billion, four hundred four million, one hundred thousand, one hundred thirty-one".

Divisors: 1 3 23 69 439 1317 10097 30291 4800241 14400723 110405543 331216629 2107305799 6321917397 48468033377 145404100131