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102133230012 = 223211281917837
BaseRepresentation
bin101111100011110011…
…1010110100110111100
3100202121211200122200200
41133013213112212330
53133132101330022
6114530325323500
710243646062662
oct1370747264674
9322554618620
10102133230012
113a350600410
1217964266590
139828763818
144d2c4bac32
1529cb667bac
hex17c79d69bc

102133230012 has 72 divisors (see below), whose sum is σ = 282642705072. Its totient is φ = 30839289600.

The previous prime is 102133229977. The next prime is 102133230079. The reversal of 102133230012 is 210032331201.

102133230012 is a `hidden beast` number, since 1 + 0 + 21 + 332 + 300 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 347643 + ... + 570194.

It is an arithmetic number, because the mean of its divisors is an integer number (3925593126).

Almost surely, 2102133230012 is an apocalyptic number.

102133230012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102133230012 is an abundant number, since it is smaller than the sum of its proper divisors (180509475060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102133230012 is a wasteful number, since it uses less digits than its factorization.

102133230012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918139 (or 918134 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102133230012 its reverse (210032331201), we get a palindrome (312165561213).

The spelling of 102133230012 in words is "one hundred two billion, one hundred thirty-three million, two hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 281 396 562 843 1124 1686 2529 3091 3372 5058 6182 9273 10116 12364 18546 27819 37092 55638 111276 917837 1835674 2753511 3671348 5507022 8260533 10096207 11014044 16521066 20192414 30288621 33042132 40384828 60577242 90865863 121154484 181731726 257912197 363463452 515824394 773736591 1031648788 1547473182 2321209773 2837034167 3094946364 4642419546 5674068334 8511102501 9284839092 11348136668 17022205002 25533307503 34044410004 51066615006 102133230012