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104334420300 = 2235211172118371
BaseRepresentation
bin110000100101011010…
…0001110100101001100
3100222022020121201002220
41201022310032211030
53202134102422200
6115533000415340
710352334640245
oct1411264164514
9328266551086
10104334420300
1140280073240
1218279477550
139ab97c0b96
14509a987ccc
152aa9a1c4a0
hex184ad0e94c

104334420300 has 144 divisors (see below), whose sum is σ = 329526658944. Its totient is φ = 25277120000.

The previous prime is 104334420293. The next prime is 104334420349. The reversal of 104334420300 is 3024433401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5670115 + ... + 5688485.

It is an arithmetic number, because the mean of its divisors is an integer number (2288379576).

Almost surely, 2104334420300 is an apocalyptic number.

104334420300 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 104334420300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164763329472).

104334420300 is an abundant number, since it is smaller than the sum of its proper divisors (225192238644).

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

104334420300 is a wasteful number, since it uses less digits than its factorization.

104334420300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20120 (or 20113 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 104334420300 its reverse (3024433401), we get a palindrome (107358853701).

The spelling of 104334420300 in words is "one hundred four billion, three hundred thirty-four million, four hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 1721 3300 3442 5163 6884 8605 10326 17210 18371 18931 20652 25815 34420 36742 37862 43025 51630 55113 56793 73484 75724 86050 91855 94655 103260 110226 113586 129075 172100 183710 189310 202081 220452 227172 258150 275565 283965 367420 378620 404162 459275 473275 516300 551130 567930 606243 808324 918550 946550 1010405 1102260 1135860 1212486 1377825 1419825 1837100 1893100 2020810 2424972 2755650 2839650 3031215 4041620 5052025 5511300 5679300 6062430 10104050 12124860 15156075 20208100 30312150 31616491 60624300 63232982 94849473 126465964 158082455 189698946 316164910 347781401 379397892 474247365 632329820 695562802 790412275 948494730 1043344203 1391125604 1580824550 1738907005 1896989460 2086688406 2371236825 3161649100 3477814010 4173376812 4742473650 5216721015 6955628020 8694535025 9484947300 10433442030 17389070050 20866884060 26083605075 34778140100 52167210150 104334420300