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4432103222131 = 131761328766651
BaseRepresentation
bin100000001111110110111…
…1100000010101101110011
3120200201000220010201200001
41000133231330002231303
51040103421411102011
613232025145410431
7635131435536664
oct100375574025563
916621026121601
104432103222131
11145970a7a6a02
125b6b7a499a17
13261c3a4774b0
1411472cdd536b
157a450e7e7c1
hex407edf02b73

4432103222131 has 16 divisors (see below), whose sum is σ = 5136650170848. Its totient is φ = 3787391808000.

The previous prime is 4432103222123. The next prime is 4432103222143. The reversal of 4432103222131 is 1312223012344.

It is a cyclic number.

It is not a de Polignac number, because 4432103222131 - 23 = 4432103222123 is a prime.

It is a super-2 number, since 2×44321032221312 (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 4432103222131.

It is not an unprimeable number, because it can be changed into a prime (4432103222161) 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 15 ways as a sum of consecutive naturals, for example, 164369845 + ... + 164396806.

It is an arithmetic number, because the mean of its divisors is an integer number (321040635678).

Almost surely, 24432103222131 is an apocalyptic number.

4432103222131 is a deficient number, since it is larger than the sum of its proper divisors (704546948717).

4432103222131 is a wasteful number, since it uses less digits than its factorization.

4432103222131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328766742.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 4432103222131 its reverse (1312223012344), we get a palindrome (5744326234475).

The spelling of 4432103222131 in words is "four trillion, four hundred thirty-two billion, one hundred three million, two hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 13 17 61 221 793 1037 13481 328766651 4273966463 5589033067 20054765711 72657429871 260711954243 340931017087 4432103222131