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102301323012 = 223272921316569
BaseRepresentation
bin101111101000110100…
…0100100111100000100
3100210001112222122221100
41133101220210330010
53134003114314022
6114555132220100
710251056620020
oct1372150447404
9323045878840
10102301323012
113a427480149
12179b060a630
139854528b35
144d46955380
1529db2bd1ac
hex17d1a24f04

102301323012 has 144 divisors (see below), whose sum is σ = 305918121600. Its totient is φ = 28203517440.

The previous prime is 102301322993. The next prime is 102301323013. The reversal of 102301323012 is 210323103201.

102301323012 is a `hidden beast` number, since 1 + 0 + 230 + 132 + 301 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (102301323013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15570064 + ... + 15576632.

It is an arithmetic number, because the mean of its divisors is an integer number (2124431400).

Almost surely, 2102301323012 is an apocalyptic number.

102301323012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102301323012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152959060800).

102301323012 is an abundant number, since it is smaller than the sum of its proper divisors (203616798588).

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

102301323012 is a wasteful number, since it uses less digits than its factorization.

102301323012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8746 (or 8741 counting only the distinct ones).

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

Adding to 102301323012 its reverse (210323103201), we get a palindrome (312624426213).

The spelling of 102301323012 in words is "one hundred two billion, three hundred one million, three hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2131 2436 3654 4262 6393 6569 7308 8524 12786 13138 14917 19179 19707 25572 26276 29834 38358 39414 44751 45983 59121 59668 61799 76716 78828 89502 91966 118242 123598 134253 137949 179004 183932 185397 190501 236484 247196 268506 275898 370794 381002 413847 432593 537012 551796 556191 571503 741588 762004 827694 865186 1112382 1143006 1297779 1333507 1655388 1714509 1730372 2224764 2286012 2595558 2667014 3429018 3893337 4000521 5191116 5334028 6858036 7786674 8001042 12001563 13998539 15573348 16002084 24003126 27997078 41995617 48006252 55994156 83991234 97989773 125986851 167982468 195979546 251973702 293969319 391959092 405957631 503947404 587938638 811915262 881907957 1175877276 1217872893 1623830524 1763815914 2435745786 2841703417 3527631828 3653618679 4871491572 5683406834 7307237358 8525110251 11366813668 14614474716 17050220502 25575330753 34100441004 51150661506 102301323012