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145004100033 = 31367229242329
BaseRepresentation
bin1000011100001011101…
…0101111100111000001
3111212021120210111111110
42013002322233213001
54333432022200113
6150340341033533
713322223341142
oct2070272574701
9455246714443
10145004100033
1156550041601
12241296b58a9
131089b527b30
147038079ac9
153b8a1d7bc3
hex21c2eaf9c1

145004100033 has 32 divisors (see below), whose sum is σ = 212242307200. Its totient is φ = 87517241856.

The previous prime is 145004100029. The next prime is 145004100061. The reversal of 145004100033 is 330001400541.

145004100033 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 145004100033 - 22 = 145004100029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 145004099982 and 145004100009.

It is not an unprimeable number, because it can be changed into a prime (145004100083) 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 31 ways as a sum of consecutive naturals, for example, 477213 + ... + 719541.

It is an arithmetic number, because the mean of its divisors is an integer number (6632572100).

Almost surely, 2145004100033 is an apocalyptic number.

145004100033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

145004100033 is a deficient number, since it is larger than the sum of its proper divisors (67238207167).

145004100033 is a wasteful number, since it uses less digits than its factorization.

145004100033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242641.

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 145004100033 its reverse (330001400541), we get a palindrome (475005500574).

The spelling of 145004100033 in words is "one hundred forty-five billion, four million, one hundred thousand, thirty-three".

Divisors: 1 3 13 39 67 201 229 687 871 2613 2977 8931 15343 46029 199459 242329 598377 726987 3150277 9450831 16236043 48708129 55493341 166480023 211068559 633205677 721413433 2164240299 3718053847 11154161541 48334700011 145004100033