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145524362130 = 2335776997017
BaseRepresentation
bin1000011110000111101…
…1011000101110010010
3111220121211202112221000
42013201323120232102
54341013214042010
6150504124042430
713341141445230
oct2074173305622
9456554675830
10145524362130
1156797788184
1224253993416
1310952255724
1470871c7950
153bbac047c0
hex21e1ed8b92

145524362130 has 64 divisors (see below), whose sum is σ = 443502823680. Its totient is φ = 33262710912.

The previous prime is 145524362129. The next prime is 145524362131. The reversal of 145524362130 is 31263425541.

145524362130 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 2 + 436 + 213 + 0 = 666.

145524362130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145524362129) and next prime (145524362131).

It is not an unprimeable number, because it can be changed into a prime (145524362131) 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, 38496619 + ... + 38500398.

It is an arithmetic number, because the mean of its divisors is an integer number (6929731620).

Almost surely, 2145524362130 is an apocalyptic number.

145524362130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145524362130 is an abundant number, since it is smaller than the sum of its proper divisors (297978461550).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145524362130 is a wasteful number, since it uses less digits than its factorization.

145524362130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76997040 (or 76997034 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 145524362130 its reverse (31263425541), we get a palindrome (176787787671).

The spelling of 145524362130 in words is "one hundred forty-five billion, five hundred twenty-four million, three hundred sixty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 76997017 153994034 230991051 384985085 461982102 538979119 692973153 769970170 1077958238 1154955255 1385946306 1616937357 2078919459 2309910510 2694895595 3233874714 3464865765 4157838918 4850812071 5389791190 6929731530 8084686785 9701624142 10394597295 14552436213 16169373570 20789194590 24254060355 29104872426 48508120710 72762181065 145524362130