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513231223110045 = 351129270739622591
BaseRepresentation
bin111010010110001111111010…
…0101111011011100110011101
32111022012102111101011012010120
41310230133310233123212131
51014232240021104010140
65015315100300025153
7213050506103641536
oct16454376457334635
92438172441135116
10513231223110045
11139593159598440
124968b7962321b9
131904b65c2596cb
1490a47491d568d
153e504c66d61d0
hex1d2c7f4bdb99d

513231223110045 has 64 divisors (see below), whose sum is σ = 927054539735040. Its totient is φ = 240169951929600.

The previous prime is 513231223110029. The next prime is 513231223110071. The reversal of 513231223110045 is 540011322132315.

It is a happy number.

It is not a de Polignac number, because 513231223110045 - 24 = 513231223110029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 513231223109988 and 513231223110015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6858301 + ... + 32764290.

It is an arithmetic number, because the mean of its divisors is an integer number (14485227183360).

Almost surely, 2513231223110045 is an apocalyptic number.

513231223110045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

513231223110045 is a deficient number, since it is larger than the sum of its proper divisors (413823316624995).

513231223110045 is a wasteful number, since it uses less digits than its factorization.

513231223110045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39625346.

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 513231223110045 in words is "five hundred thirteen trillion, two hundred thirty-one billion, two hundred twenty-three million, one hundred ten thousand, forty-five".

Divisors: 1 3 5 11 15 29 33 55 87 145 165 319 435 957 1595 2707 4785 8121 13535 29777 40605 78503 89331 148885 235509 392515 446655 863533 1177545 2590599 4317665 12952995 39622591 118867773 198112955 435848501 594338865 1149055139 1307545503 2179242505 3447165417 5745275695 6537727515 12639606529 17235827085 37918819587 63198032645 107258353837 189594097935 321775061511 536291769185 1179841892207 1608875307555 3110492261273 3539525676621 5899209461035 9331476783819 15552461306365 17697628383105 34215414874003 46657383919095 102646244622009 171077074370015 513231223110045