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102234432201 = 3118310123659
BaseRepresentation
bin101111100110110100…
…1011010001011001001
3100202212220010020222220
41133031221122023021
53133334003312301
6114544342404253
710246315223046
oct1371551321311
9322786106886
10102234432201
113a3a2743090
1217992130689
139843708585
144d3bb021cd
1529d54a8936
hex17cda5a2c9

102234432201 has 48 divisors (see below), whose sum is σ = 152042607360. Its totient is φ = 60591112000.

The previous prime is 102234432187. The next prime is 102234432247.

It is a happy number.

102234432201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102234432201 - 25 = 102234432169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102234432281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27938710 + ... + 27942368.

It is an arithmetic number, because the mean of its divisors is an integer number (3167554320).

Almost surely, 2102234432201 is an apocalyptic number.

102234432201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102234432201 is a deficient number, since it is larger than the sum of its proper divisors (49808175159).

102234432201 is a wasteful number, since it uses less digits than its factorization.

102234432201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 102234 and 432201, that added together give a palindrome (534435).

The spelling of 102234432201 in words is "one hundred two billion, two hundred thirty-four million, four hundred thirty-two thousand, two hundred one".

Divisors: 1 3 11 33 83 101 249 303 913 1111 2739 3333 3659 8383 10201 10977 25149 30603 40249 92213 112211 120747 276639 303697 336633 369559 846683 911091 1108677 2540049 3340667 4065149 9313513 10022001 12195447 27940539 30673397 37325459 92020191 111976377 337407367 410580049 1012222101 1231740147 3098013097 9294039291 34078144067 102234432201