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104331331420 = 22531418234987
BaseRepresentation
bin110000100101010100…
…0011100011101011100
3100222022000210202221221
41201022220130131130
53202132310101140
6115532410303124
710352266453621
oct1411250343534
9328260722857
10104331331420
1140279353548
1218278427aa4
139ab8c7bc44
14509a3c2348
152aa960c14a
hex184aa1c75c

104331331420 has 96 divisors (see below), whose sum is σ = 232007602176. Its totient is φ = 39345523200.

The previous prime is 104331331373. The next prime is 104331331457. The reversal of 104331331420 is 24133133401.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 20918167 + ... + 20923153.

It is an arithmetic number, because the mean of its divisors is an integer number (2416745856).

Almost surely, 2104331331420 is an apocalyptic number.

104331331420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104331331420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116003801088).

104331331420 is an abundant number, since it is smaller than the sum of its proper divisors (127676270756).

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

104331331420 is a wasteful number, since it uses less digits than its factorization.

104331331420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5891 (or 5889 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 104331331420 its reverse (24133133401), we get a palindrome (128464464821).

The spelling of 104331331420 in words is "one hundred four billion, three hundred thirty-one million, three hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 41 62 82 124 155 164 205 310 410 620 820 823 1271 1646 2542 3292 4115 4987 5084 6355 8230 9974 12710 16460 19948 24935 25420 25513 33743 49870 51026 67486 99740 102052 127565 134972 154597 168715 204467 255130 309194 337430 408934 510260 618388 674860 772985 817868 1022335 1046033 1545970 2044670 2092066 3091940 4089340 4104301 4184132 5230165 6338477 8208602 10460330 12676954 16417204 20521505 20920660 25353908 31692385 41043010 63384770 82086020 126769540 127233331 168276341 254466662 336552682 508933324 636166655 673105364 841381705 1272333310 1682763410 2544666620 3365526820 5216566571 10433133142 20866266284 26082832855 52165665710 104331331420