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145101666501 = 32111663188129
BaseRepresentation
bin1000011100100010111…
…0111011100011000101
3111212112101101101112100
42013020232323203011
54334132011312001
6150354144142313
713324516546401
oct2071056734305
9455471341470
10145101666501
11565a0120750
1224156307999
13108b57c8a7c
147046dd6101
153b93a5b586
hex21c8bbb8c5

145101666501 has 24 divisors (see below), whose sum is σ = 228661392960. Its totient is φ = 87934118400.

The previous prime is 145101666491. The next prime is 145101666509. The reversal of 145101666501 is 105666101541.

145101666501 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 145101666501 - 219 = 145101142213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145101666509) 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 23 ways as a sum of consecutive naturals, for example, 1602405 + ... + 1690533.

It is an arithmetic number, because the mean of its divisors is an integer number (9527558040).

Almost surely, 2145101666501 is an apocalyptic number.

145101666501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145101666501 is a deficient number, since it is larger than the sum of its proper divisors (83559726459).

145101666501 is a wasteful number, since it uses less digits than its factorization.

145101666501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104777 (or 104774 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 145101666501 in words is "one hundred forty-five billion, one hundred one million, six hundred sixty-six thousand, five hundred one".

Divisors: 1 3 9 11 33 99 16631 49893 88129 149679 182941 264387 548823 793161 969419 1646469 2908257 8724771 1465673399 4397020197 13191060591 16122407389 48367222167 145101666501