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12001313030130 = 2335148153300023
BaseRepresentation
bin1010111010100100010111…
…1111111111111111110010
31120111022111010202221112000
42232221011333333333302
53033112142113431010
641305154352514430
72346031503412464
oct256510577777762
946438433687460
1012001313030130
113907801371876
121419b2754ba16
1369094673a6a8
142d6c1c132134
1515c2ad3367c0
hexaea45fffff2

12001313030130 has 64 divisors (see below), whose sum is σ = 32003824101120. Its totient is φ = 3200317872768.

The previous prime is 12001313030117. The next prime is 12001313030137. The reversal of 12001313030130 is 3103031310021.

It is a happy number.

12001313030130 is a `hidden beast` number, since 1 + 20 + 0 + 1 + 313 + 0 + 301 + 30 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12001313030137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39851299 + ... + 40151321.

It is an arithmetic number, because the mean of its divisors is an integer number (500059751580).

Almost surely, 212001313030130 is an apocalyptic number.

12001313030130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12001313030130 is an abundant number, since it is smaller than the sum of its proper divisors (20002511070990).

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

12001313030130 is a wasteful number, since it uses less digits than its factorization.

12001313030130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448192 (or 448186 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12001313030130 its reverse (3103031310021), we get a palindrome (15104344340151).

The spelling of 12001313030130 in words is "twelve trillion, one billion, three hundred thirteen million, thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 148153 296306 300023 444459 600046 740765 888918 900069 1333377 1481530 1500115 1800138 2222295 2666754 2700207 3000230 4000131 4444590 4500345 5400414 6666885 8000262 8100621 9000690 13333770 13501035 16201242 20000655 27002070 40001310 40503105 81006210 44449307519 88898615038 133347922557 222246537595 266695845114 400043767671 444493075190 666739612785 800087535342 1200131303013 1333479225570 2000218838355 2400262606026 4000437676710 6000656515065 12001313030130