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102233232201331 = 71119239292381483
BaseRepresentation
bin10111001111101100000111…
…011111010101011001110011
3111101222101211201200210210201
4113033230013133111121303
5101344442124420420311
61001233144251140031
730351051540510550
oct2717540737253163
9441871751623721
10102233232201331
112a6359633a9960
12b57159a744617
1345077248c602a
141b36187199a27
15bc44c34a99c1
hex5cfb077d5673

102233232201331 has 32 divisors (see below), whose sum is σ = 134729387827200. Its totient is φ = 75153736133280.

The previous prime is 102233232201323. The next prime is 102233232201343. The reversal of 102233232201331 is 133102232332201.

It is a happy number.

It is not a de Polignac number, because 102233232201331 - 23 = 102233232201323 is a prime.

It is a super-3 number, since 3×1022332322013313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 102233232201331.

It is not an unprimeable number, because it can be changed into a prime (102233232201931) 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 31 ways as a sum of consecutive naturals, for example, 145841085 + ... + 146540398.

It is an arithmetic number, because the mean of its divisors is an integer number (4210293369600).

Almost surely, 2102233232201331 is an apocalyptic number.

102233232201331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102233232201331 is a deficient number, since it is larger than the sum of its proper divisors (32496155625869).

102233232201331 is a wasteful number, since it uses less digits than its factorization.

102233232201331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292381759.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 102233232201331 its reverse (133102232332201), we get a palindrome (235335464533532).

The spelling of 102233232201331 in words is "one hundred two trillion, two hundred thirty-three billion, two hundred thirty-two million, two hundred one thousand, three hundred thirty-one".

Divisors: 1 7 11 19 77 133 209 239 1463 1673 2629 4541 18403 31787 49951 349657 292381483 2046670381 3216196313 5555248177 22513374191 38886737239 61107729947 69879174437 427754109629 489154221059 768670918807 1327704314303 5380696431649 9293930200121 14604747457333 102233232201331