Search a number
-
+
2513232350135 = 5132321076771009
BaseRepresentation
bin100100100100101000010…
…100100100101110110111
322220021002111001121010122
4210210220110210232313
5312134044440201020
65202321335242155
7346401145333613
oct44445024445667
98807074047118
102513232350135
11889946161841
123470b851935b
13152cc5c56a10
14898d9242343
154559565c125
hex24928524bb7

2513232350135 has 96 divisors (see below), whose sum is σ = 3435415260480. Its totient is φ = 1754303975424.

The previous prime is 2513232350119. The next prime is 2513232350147. The reversal of 2513232350135 is 5310532323152.

It is not a de Polignac number, because 2513232350135 - 24 = 2513232350119 is a prime.

It is a super-4 number, since 4×25132323501354 (a number of 51 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2513232350095 and 2513232350104.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2490814511 + ... + 2490815519.

It is an arithmetic number, because the mean of its divisors is an integer number (35785575630).

Almost surely, 22513232350135 is an apocalyptic number.

2513232350135 is a deficient number, since it is larger than the sum of its proper divisors (922182910345).

2513232350135 is a wasteful number, since it uses less digits than its factorization.

2513232350135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 35.

Adding to 2513232350135 its reverse (5310532323152), we get a palindrome (7823764673287).

The spelling of 2513232350135 in words is "two trillion, five hundred thirteen billion, two hundred thirty-two million, three hundred fifty thousand, one hundred thirty-five".

Divisors: 1 5 13 23 65 107 115 299 529 535 677 1009 1391 1495 2461 2645 3385 5045 6877 6955 8801 12305 13117 15571 23207 31993 34385 44005 56603 65585 72439 77855 107963 116035 159965 202423 283015 301691 358133 362195 533761 539815 683093 735839 941707 1012115 1403519 1508455 1666097 1790665 2483149 2668805 3415465 3679195 4655729 4708535 6938893 7017595 8330485 8880209 12415745 15711139 21659261 23278645 32280937 34694465 38320231 44401045 57112427 73090951 78555695 108296305 161404685 191601155 204244807 285562135 361356197 365454755 498163003 742461551 950182363 1021224035 1681091873 1806780985 2490815015 3712307755 4697630561 4750911815 8405459365 21854194349 23488152805 38665113079 109270971745 193325565395 502646470027 2513232350135