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32230100103223 = 112881930203477
BaseRepresentation
bin1110101010000001001111…
…01010101111000000110111
311020010011112002110222010111
413111000213222233000313
513211024221111300343
6152314145324003451
76534355632452251
oct725004752570067
9136104462428114
1032230100103223
11a2a67882a9100
1237464ab390587
1314ca393036349
147d5d33782cd1
153ad5a3a29c9d
hex1d5027aaf037

32230100103223 has 12 divisors (see below), whose sum is σ = 35430491902680. Its totient is φ = 29296767650480.

The previous prime is 32230100103217. The next prime is 32230100103241.

32230100103223 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-32230100103223 is a prime.

It is a super-3 number, since 3×322301001032233 (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32230100103194 and 32230100103203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32230100103293) 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, 14034640 + ... + 16168837.

It is an arithmetic number, because the mean of its divisors is an integer number (2952540991890).

Almost surely, 232230100103223 is an apocalyptic number.

32230100103223 is a deficient number, since it is larger than the sum of its proper divisors (3200391799457).

32230100103223 is a wasteful number, since it uses less digits than its factorization.

32230100103223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30212318 (or 30212307 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

It can be divided in two parts, 32230100 and 103223, that added together give a palindrome (32333323).

The spelling of 32230100103223 in words is "thirty-two trillion, two hundred thirty billion, one hundred million, one hundred three thousand, two hundred twenty-three".

Divisors: 1 11 121 8819 97009 1067099 30203477 332238247 3654620717 266364463663 2930009100293 32230100103223