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150201456133 = 6143921112657
BaseRepresentation
bin1000101111100010110…
…1000101011000000101
3112100200210112112201211
42023320231011120011
54430103033044013
6153000202251421
713565063211631
oct2137055053005
9470623475654
10150201456133
1158777896123
122513a1b6b71
1311219226481
1473ac431dc1
153d9162523d
hex22f8b45605

150201456133 has 16 divisors (see below), whose sum is σ = 153141626880. Its totient is φ = 147277324800.

The previous prime is 150201456113. The next prime is 150201456169. The reversal of 150201456133 is 331654102051.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-150201456133 is a prime.

It is a super-3 number, since 3×1502014561333 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 150201456095 and 150201456104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150201456113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56529141 + ... + 56531797.

It is an arithmetic number, because the mean of its divisors is an integer number (9571351680).

Almost surely, 2150201456133 is an apocalyptic number.

It is an amenable number.

150201456133 is a deficient number, since it is larger than the sum of its proper divisors (2940170747).

150201456133 is a wasteful number, since it uses less digits than its factorization.

150201456133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5268.

The product of its (nonzero) digits is 10800, while the sum is 31.

Adding to 150201456133 its reverse (331654102051), we get a palindrome (481855558184).

The spelling of 150201456133 in words is "one hundred fifty billion, two hundred one million, four hundred fifty-six thousand, one hundred thirty-three".

Divisors: 1 61 439 2111 2657 26779 128771 162077 926729 1166423 5608927 56530469 71151803 342144547 2462318953 150201456133