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100042402024000 = 265347363264031
BaseRepresentation
bin10110101111110011101111…
…110101011100101001000000
3111010012221221000012112021001
4112233303233311130221000
5101103043314404232000
6552434502305141344
730033552661326412
oct2657635765345100
9433187830175231
10100042402024000
112997082092a417
12b278a7a02a854
1343a8c5ba42487
141a9c1144089b2
15b874ec0cc46a
hex5afcefd5ca40

100042402024000 has 112 divisors (see below), whose sum is σ = 247761177970176. Its totient is φ = 40015964352000.

The previous prime is 100042402023997. The next prime is 100042402024003. The reversal of 100042402024000 is 420204240001.

It is an interprime number because it is at equal distance from previous prime (100042402023997) and next prime (100042402024003).

It is not an unprimeable number, because it can be changed into a prime (100042402024003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378771985 + ... + 379036015.

Almost surely, 2100042402024000 is an apocalyptic number.

100042402024000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100042402024000 is an abundant number, since it is smaller than the sum of its proper divisors (147718775946176).

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

100042402024000 is an equidigital number, since it uses as much as digits as its factorization.

100042402024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311421 (or 311401 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 100042402024000 its reverse (420204240001), we get a palindrome (100462606264001).

The spelling of 100042402024000 in words is "one hundred trillion, forty-two billion, four hundred two million, twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 47363 94726 189452 236815 264031 378904 473630 528062 757808 947260 1056124 1184075 1320155 1515616 1894520 2112248 2368150 2640310 3031232 3789040 4224496 4736300 5280620 5920375 6600775 7578080 8448992 9472600 10561240 11840750 13201550 15156160 16897984 18945200 21122480 23681500 26403100 33003875 37890400 42244960 47363000 52806200 66007750 75780800 84489920 94726000 105612400 132015500 189452000 211224800 264031000 378904000 422449600 528062000 1056124000 2112248000 12505300253 25010600506 50021201012 62526501265 100042402024 125053002530 200084804048 250106005060 312632506325 400169608096 500212010120 625265012650 800339216192 1000424020240 1250530025300 1563162531625 2000848040480 2501060050600 3126325063250 4001696080960 5002120101200 6252650126500 10004240202400 12505300253000 20008480404800 25010600506000 50021201012000 100042402024000