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32120434103513 = 724794411367257
BaseRepresentation
bin1110100110110100111110…
…00100001001010011011001
311012201200110021112222000112
413103122133010021103121
513202230122112303023
6152151531305014105
76523424205030500
oct723323704112331
9135650407488015
1032120434103513
11a264221745398
1237291a4484335
1314bcc36aacc62
147d08ccaa3837
153aa7d5e0a478
hex1d369f1094d9

32120434103513 has 12 divisors (see below), whose sum is σ = 37364691872052. Its totient is φ = 27531723098880.

The previous prime is 32120434103509. The next prime is 32120434103533. The reversal of 32120434103513 is 31530143402123.

It can be written as a sum of positive squares in 2 ways, for example, as 7484618054809 + 24635816048704 = 2735803^2 + 4963448^2 .

It is not a de Polignac number, because 32120434103513 - 22 = 32120434103509 is a prime.

It is a super-4 number, since 4×321204341035134 (a number of 55 digits) contains 4444 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32120434103513.

It is not an unprimeable number, because it can be changed into a prime (32120434103503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22808981 + ... + 24176237.

It is an arithmetic number, because the mean of its divisors is an integer number (3113724322671).

Almost surely, 232120434103513 is an apocalyptic number.

It is an amenable number.

32120434103513 is a deficient number, since it is larger than the sum of its proper divisors (5244257768539).

32120434103513 is a wasteful number, since it uses less digits than its factorization.

32120434103513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846712 (or 1846705 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 32120434103513 its reverse (31530143402123), we get a palindrome (63650577505636).

The spelling of 32120434103513 in words is "thirty-two trillion, one hundred twenty billion, four hundred thirty-four million, one hundred three thousand, five hundred thirteen".

Divisors: 1 7 49 479441 1367257 3356087 9570799 23492609 66995593 655519063337 4588633443359 32120434103513