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312241004020 = 2251171181110441
BaseRepresentation
bin1001000101100110000…
…00111001110111110100
31002211221121112110110101
410202303000321313310
520103432144112040
6355235212203444
731362423512611
oct4426300716764
91084847473411
10312241004020
111104699a7850
1250620a69584
13235a0ba625a
1411180b77508
1581c718809a
hex48b3039df4

312241004020 has 96 divisors (see below), whose sum is σ = 729404911872. Its totient is φ = 111323520000.

The previous prime is 312241003979. The next prime is 312241004039. The reversal of 312241004020 is 20400142213.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2772000 + ... + 2882440.

It is an arithmetic number, because the mean of its divisors is an integer number (7597967832).

Almost surely, 2312241004020 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 312241004020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364702455936).

312241004020 is an abundant number, since it is smaller than the sum of its proper divisors (417163907852).

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

312241004020 is a wasteful number, since it uses less digits than its factorization.

312241004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110713 (or 110711 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 312241004020 its reverse (20400142213), we get a palindrome (332641146233).

The spelling of 312241004020 in words is "three hundred twelve billion, two hundred forty-one million, four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 181 220 284 355 362 710 724 781 905 1420 1562 1810 1991 3124 3620 3905 3982 7810 7964 9955 12851 15620 19910 25702 39820 51404 64255 110441 128510 141361 220882 257020 282722 441764 552205 565444 706805 1104410 1214851 1413610 2208820 2429702 2827220 4859404 6074255 7841311 12148510 15682622 19989821 24297020 31365244 39206555 39979642 78413110 79959284 86254421 99949105 156826220 172508842 199898210 219888031 345017684 399796420 431272105 439776062 862544210 879552124 1099440155 1419277291 1725088420 2198880310 2838554582 4397760620 5677109164 7096386455 14192772910 15612050201 28385545820 31224100402 62448200804 78060251005 156120502010 312241004020