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312243101120 = 2651521764123
BaseRepresentation
bin1001000101100110010…
…00111001110111000000
31002211221202111000010202
410202303020321313000
520103433213213440
6355235325144332
731362450365606
oct4426310716700
91084852430122
10312243101120
111104700aa395
12506216bb0a8
13235a145b942
1411181161876
1581c744e615
hex48b3239dc0

312243101120 has 56 divisors (see below), whose sum is σ = 743589342384. Its totient is φ = 124887085056.

The previous prime is 312243101111. The next prime is 312243101129. The reversal of 312243101120 is 21101342213.

It is an interprime number because it is at equal distance from previous prime (312243101111) and next prime (312243101129).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 312243101092 and 312243101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312243101129) 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 7 ways as a sum of consecutive naturals, for example, 4837379 + ... + 4901501.

It is an arithmetic number, because the mean of its divisors is an integer number (13278381114).

Almost surely, 2312243101120 is an apocalyptic number.

It is an amenable number.

312243101120 is an abundant number, since it is smaller than the sum of its proper divisors (431346241264).

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

312243101120 is a wasteful number, since it uses less digits than its factorization.

312243101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79357 (or 79347 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 312243101120 its reverse (21101342213), we get a palindrome (333344443333).

The spelling of 312243101120 in words is "three hundred twelve billion, two hundred forty-three million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 15217 30434 60868 64123 76085 121736 128246 152170 243472 256492 304340 320615 486944 512984 608680 641230 973888 1025968 1217360 1282460 2051936 2434720 2564920 4103872 4869440 5129840 10259680 20519360 975759691 1951519382 3903038764 4878798455 7806077528 9757596910 15612155056 19515193820 31224310112 39030387640 62448620224 78060775280 156121550560 312243101120