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100104312340 = 22559971675237
BaseRepresentation
bin101110100111010101…
…1101001011000010100
3100120101102220221212201
41131032223221120110
53120003200443330
6113553130454244
710142451421054
oct1351653513024
9316342827781
10100104312340
11394aa30254a
1217498894384
139594303016
144bb8c55564
15290d491eca
hex174eae9614

100104312340 has 96 divisors (see below), whose sum is σ = 217320848640. Its totient is φ = 38716575744.

The previous prime is 100104312317. The next prime is 100104312349. The reversal of 100104312340 is 43213401001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100104312349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19112202 + ... + 19117438.

It is an arithmetic number, because the mean of its divisors is an integer number (2263758840).

Almost surely, 2100104312340 is an apocalyptic number.

100104312340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100104312340 is an abundant number, since it is smaller than the sum of its proper divisors (117216536300).

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

100104312340 is a wasteful number, since it uses less digits than its factorization.

100104312340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5569 (or 5567 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 100104312340 its reverse (43213401001), we get a palindrome (143317713341).

The spelling of 100104312340 in words is "one hundred billion, one hundred four million, three hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 59 97 118 167 194 236 295 334 388 485 590 668 835 970 1180 1670 1940 3340 5237 5723 9853 10474 11446 16199 19706 20948 22892 26185 28615 32398 39412 49265 52370 57230 64796 80995 98530 104740 114460 161990 197060 308983 323980 507989 617966 874579 955741 1015978 1235932 1544915 1749158 1911482 2031956 2539945 3089830 3498316 3822964 4372895 4778705 5079890 6179660 8745790 9557410 10159780 17491580 19114820 29971351 51600161 59942702 84834163 103200322 119885404 149856755 169668326 206400644 258000805 299713510 339336652 424170815 516001610 599427020 848341630 1032003220 1696683260 5005215617 10010431234 20020862468 25026078085 50052156170 100104312340