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145313124201 = 3372659289151
BaseRepresentation
bin1000011101010101010…
…1100100111101101001
3111220002010021112222000
42013111111210331221
54340100124433301
6150431140321213
713332665114220
oct2072525447551
9456063245860
10145313124201
1156699519a83
12241b50a3209
131091a56527b
14706711bcb7
153ba73ca786
hex21d5564f69

145313124201 has 32 divisors (see below), whose sum is σ = 246126182400. Its totient is φ = 83004555600.

The previous prime is 145313124199. The next prime is 145313124217. The reversal of 145313124201 is 102421313541.

145313124201 is a `hidden beast` number, since 1 + 4 + 531 + 3 + 124 + 2 + 0 + 1 = 666.

It is not a de Polignac number, because 145313124201 - 21 = 145313124199 is a prime.

It is a super-2 number, since 2×1453131242012 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (145313124251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357976 + ... + 647126.

It is an arithmetic number, because the mean of its divisors is an integer number (7691443200).

Almost surely, 2145313124201 is an apocalyptic number.

It is an amenable number.

145313124201 is a deficient number, since it is larger than the sum of its proper divisors (100813058199).

145313124201 is a wasteful number, since it uses less digits than its factorization.

145313124201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291826 (or 291820 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 145313124201 its reverse (102421313541), we get a palindrome (247734437742).

The spelling of 145313124201 in words is "one hundred forty-five billion, three hundred thirteen million, one hundred twenty-four thousand, two hundred one".

Divisors: 1 3 7 9 21 27 63 189 2659 7977 18613 23931 55839 71793 167517 289151 502551 867453 2024057 2602359 6072171 7807077 18216513 54649539 768852509 2306557527 5381967563 6919672581 16145902689 20759017743 48437708067 145313124201