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2300132432431 = 314314963118353
BaseRepresentation
bin100001011110001010100…
…100111001101000101111
322010220001011222010212001
4201132022210321220233
5300141132400314211
64520355524353131
7325115266041661
oct41361244715057
98126034863761
102300132432431
11807531880579
123119458457a7
13138b94950962
147d481426531
153ec720eaac1
hex2178a939a2f

2300132432431 has 32 divisors (see below), whose sum is σ = 2449862553600. Its totient is φ = 2156037004800.

The previous prime is 2300132432419. The next prime is 2300132432467. The reversal of 2300132432431 is 1342342310032.

It is a happy number.

2300132432431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2300132432431 - 229 = 2299595561519 is a prime.

It is a super-2 number, since 2×23001324324312 (a number of 26 digits) contains 22 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 2300132432431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300132432401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125318151 + ... + 125336503.

It is an arithmetic number, because the mean of its divisors is an integer number (76558204800).

Almost surely, 22300132432431 is an apocalyptic number.

2300132432431 is a deficient number, since it is larger than the sum of its proper divisors (149730121169).

2300132432431 is a wasteful number, since it uses less digits than its factorization.

2300132432431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19207.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 2300132432431 its reverse (1342342310032), we get a palindrome (3642474742463).

The spelling of 2300132432431 in words is "two trillion, three hundred billion, one hundred thirty-two million, four hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 31 43 149 631 1333 4619 6407 18353 19561 27133 94019 198617 568943 789179 841123 2734597 2914589 4042817 11580743 24464549 84772507 117587671 125327327 359003033 497971949 1725530707 3645217801 15437130419 53491451917 74197820401 2300132432431