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103332200432031 = 3285930194427279
BaseRepresentation
bin10111011111101011100111…
…000110011100000110011111
3111112212110110201022021010200
4113133223213012130012133
5102020443321302311111
61003434054010234543
730523335153366414
oct2737534706340637
9445773421267120
10103332200432031
112aa19a3830834a
12b70a580a25a53
1345872529bca0c
141b7343b60610b
15be2d935a1256
hex5dfae719c19f

103332200432031 has 24 divisors (see below), whose sum is σ = 149480911008000. Its totient is φ = 68785130720592.

The previous prime is 103332200432029. The next prime is 103332200432077. The reversal of 103332200432031 is 130234002233301.

103332200432031 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 3 + 220 + 0 + 432 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 103332200432031 - 21 = 103332200432029 is a prime.

It is a super-2 number, since 2×1033322004320312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103332200431986 and 103332200432004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103332200432011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21126250 + ... + 25553528.

It is an arithmetic number, because the mean of its divisors is an integer number (6228371292000).

Almost surely, 2103332200432031 is an apocalyptic number.

103332200432031 is a deficient number, since it is larger than the sum of its proper divisors (46148710575969).

103332200432031 is a wasteful number, since it uses less digits than its factorization.

103332200432031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4431163 (or 4431160 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 103332200432031 its reverse (130234002233301), we get a palindrome (233566202665332).

The spelling of 103332200432031 in words is "one hundred three trillion, three hundred thirty-two billion, two hundred million, four hundred thirty-two thousand, thirty-one".

Divisors: 1 3 9 859 2577 3019 7731 9057 27171 2593321 4427279 7779963 13281837 23339889 39845511 3803032661 11409097983 13365955301 34227293949 40097865903 120293597709 11481355603559 34444066810677 103332200432031