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310120310112 = 25323140453039
BaseRepresentation
bin1001000001101001001…
…11000110010101100000
31002122110211002001022120
410200310213012111200
520040111244410422
6354244534304240
731256033066544
oct4406447062540
91078424061276
10310120310112
1110a580915058
125012a7b8080
13233237211a2
141101d261a24
158100dd445c
hex48349c6560

310120310112 has 48 divisors (see below), whose sum is σ = 849459985920. Its totient is φ = 98878938752.

The previous prime is 310120310069. The next prime is 310120310119. The reversal of 310120310112 is 211013021013.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 310120310091 and 310120310100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310120310119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70224312 + ... + 70228727.

It is an arithmetic number, because the mean of its divisors is an integer number (17697083040).

Almost surely, 2310120310112 is an apocalyptic number.

310120310112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

310120310112 is an abundant number, since it is smaller than the sum of its proper divisors (539339675808).

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

310120310112 is a wasteful number, since it uses less digits than its factorization.

310120310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140453075 (or 140453067 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 310120310112 its reverse (211013021013), we get a palindrome (521133331125).

The spelling of 310120310112 in words is "three hundred ten billion, one hundred twenty million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 140453039 280906078 421359117 561812156 842718234 1123624312 1685436468 2247248624 3230419897 3370872936 4494497248 6460839794 6741745872 9691259691 12921679588 13483491744 19382519382 25843359176 38765038764 51686718352 77530077528 103373436704 155060155056 310120310112