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310103023312 = 242343313071489
BaseRepresentation
bin1001000001100111001…
…01001001111011010000
31002122102121112210021201
410200303211021323100
520040042333221222
6354243120000544
731255433130655
oct4406345117320
91078377483251
10310103023312
1110a572088245
1250124a60154
132331cc7aa04
141101ac41c2c
1580ee61c427
hex4833949ed0

310103023312 has 80 divisors (see below), whose sum is σ = 629298472320. Its totient is φ = 147755114496.

The previous prime is 310103023301. The next prime is 310103023319. The reversal of 310103023312 is 213320301013.

It is a self number, because there is not a number n which added to its sum of digits gives 310103023312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310103023319) 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 15 ways as a sum of consecutive naturals, for example, 208261864 + ... + 208263352.

It is an arithmetic number, because the mean of its divisors is an integer number (7866230904).

Almost surely, 2310103023312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310103023312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314649236160).

310103023312 is an abundant number, since it is smaller than the sum of its proper divisors (319195449008).

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

310103023312 is a wasteful number, since it uses less digits than its factorization.

310103023312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 310103023312 its reverse (213320301013), we get a palindrome (523423324325).

The spelling of 310103023312 in words is "three hundred ten billion, one hundred three million, twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 46 92 184 368 433 866 1307 1489 1732 2614 2978 3464 5228 5956 6928 9959 10456 11912 19918 20912 23824 30061 34247 39836 60122 68494 79672 120244 136988 159344 240488 273976 480976 547952 565931 644737 1131862 1289474 1946123 2263724 2578948 3892246 4527448 5157896 7784492 9054896 10315792 13016413 14828951 15568984 26032826 29657902 31137968 44760829 52065652 59315804 89521658 104131304 118631608 179043316 208262608 237263216 358086632 716173264 842671259 1685342518 3370685036 6741370072 13482740144 19381438957 38762877914 77525755828 155051511656 310103023312