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104433120330100 = 225217295812076713
BaseRepresentation
bin10111101111101100111011…
…000010100100000101110100
3111200202201010201022200210021
4113233230323002210011310
5102142013012301030400
61010035525124334524
730666021035205502
oct2757547302440564
9450681121280707
10104433120330100
1130303923951381
12b867a08844444
13463700223a573
141bb0838d29672
15c11829bae71a
hex5efb3b0a4174

104433120330100 has 72 divisors (see below), whose sum is σ = 239958678958488. Its totient is φ = 39314650214400.

The previous prime is 104433120330047. The next prime is 104433120330113. The reversal of 104433120330100 is 1033021334401.

It can be written as a sum of positive squares in 12 ways, for example, as 681661594384 + 103751458735716 = 825628^2 + 10185846^2 .

It is a super-2 number, since 2×1044331203301002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49249344 + ... + 51326056.

It is an arithmetic number, because the mean of its divisors is an integer number (3332759429979).

Almost surely, 2104433120330100 is an apocalyptic number.

104433120330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104433120330100 is an abundant number, since it is smaller than the sum of its proper divisors (135525558628388).

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

104433120330100 is a wasteful number, since it uses less digits than its factorization.

104433120330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106325 (or 2106318 counting only the distinct ones).

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

Adding to 104433120330100 its reverse (1033021334401), we get a palindrome (105466141664501).

The spelling of 104433120330100 in words is "one hundred four trillion, four hundred thirty-three billion, one hundred twenty million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 29581 59162 118324 147905 295810 502877 591620 739525 1005754 1479050 2011508 2076713 2514385 2958100 4153426 5028770 8306852 10057540 10383565 12571925 20767130 25143850 35304121 41534260 50287700 51917825 70608242 103835650 141216484 176520605 207671300 353041210 706082420 882603025 1765206050 3530412100 61431247253 122862494506 245724989012 307156236265 614312472530 1044331203301 1228624945060 1535781181325 2088662406602 3071562362650 4177324813204 5221656016505 6143124725300 10443312033010 20886624066020 26108280082525 52216560165050 104433120330100