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242403310332100 = 225297131190763603
BaseRepresentation
bin110111000111011011101011…
…001101000110100011000100
31011210021112022110221120210101
4313013123223031012203010
5223233013434421111400
62215314313214533444
7102026030001214411
oct6707335315064304
91153245273846711
10242403310332100
1170267737272055
122322b476207284
13a5346c34b8118
1443c055065b108
151d056ee0c656a
hexdc76eb3468c4

242403310332100 has 72 divisors (see below), whose sum is σ = 535494801951648. Its totient is φ = 95229190118400.

The previous prime is 242403310332077. The next prime is 242403310332137. The reversal of 242403310332100 is 1233013304242.

It is a happy number.

It is a super-2 number, since 2×2424033103321002 (a number of 30 digits) contains 22 as substring.

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, 94111102 + ... + 96652501.

It is an arithmetic number, because the mean of its divisors is an integer number (7437427804884).

Almost surely, 2242403310332100 is an apocalyptic number.

242403310332100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242403310332100 is an abundant number, since it is smaller than the sum of its proper divisors (293091491619548).

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

242403310332100 is a wasteful number, since it uses less digits than its factorization.

242403310332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190763845 (or 190763838 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 242403310332100 its reverse (1233013304242), we get a palindrome (243636323636342).

The spelling of 242403310332100 in words is "two hundred forty-two trillion, four hundred three billion, three hundred ten million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 131 194 262 388 485 524 655 970 1310 1940 2425 2620 3275 4850 6550 9700 12707 13100 25414 50828 63535 127070 254140 317675 635350 1270700 190763603 381527206 763054412 953818015 1907636030 3815272060 4769090075 9538180150 18504069491 19076360300 24990031993 37008138982 49980063986 74016277964 92520347455 99960127972 124950159965 185040694910 249900319930 370081389820 462601737275 499800639860 624750799825 925203474550 1249501599650 1850406949100 2424033103321 2499003199300 4848066206642 9696132413284 12120165516605 24240331033210 48480662066420 60600827583025 121201655166050 242403310332100