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1010342044215 = 325729313735257
BaseRepresentation
bin11101011001111010001…
…01000010001000110111
310120120212110210201001200
432230331011002020313
5113023140030403330
62052051132223543
7132665134451310
oct16547505021067
93516773721050
101010342044215
1135a535820879
1214398960abb3
1374375ab4c2a
1436c87ba5607
151b43468aa60
hexeb3d142237

1010342044215 has 96 divisors (see below), whose sum is σ = 2071173386880. Its totient is φ = 445789274112.

The previous prime is 1010342044213. The next prime is 1010342044223. The reversal of 1010342044215 is 5124402430101.

1010342044215 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 34 + 204 + 421 + 5 = 666.

1010342044215 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010342044215 - 21 = 1010342044213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010342044213) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28638867 + ... + 28674123.

It is an arithmetic number, because the mean of its divisors is an integer number (21574722780).

Almost surely, 21010342044215 is an apocalyptic number.

1010342044215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1010342044215 is an abundant number, since it is smaller than the sum of its proper divisors (1060831342665).

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

1010342044215 is a wasteful number, since it uses less digits than its factorization.

1010342044215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38441 (or 38438 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1010342044215 its reverse (5124402430101), we get a palindrome (6134744474316).

The spelling of 1010342044215 in words is "one trillion, ten billion, three hundred forty-two million, forty-four thousand, two hundred fifteen".

Divisors: 1 3 5 7 9 15 21 29 35 45 63 87 105 145 203 261 315 435 609 1015 1305 1827 3045 3137 9135 9411 15685 21959 28233 35257 47055 65877 90973 105771 109795 141165 176285 197631 246799 272919 317313 329385 454865 528855 636811 740397 818757 988155 1022453 1233995 1364595 1586565 1910433 2221191 3067359 3184055 3701985 4093785 5112265 5731299 7157171 9202077 9552165 11105955 15336795 21471513 28656495 35785855 46010385 64414539 107357565 110601209 322072695 331803627 553006045 774208463 995410881 1659018135 2322625389 3207435061 3871042315 4977054405 6967876167 9622305183 11613126945 16037175305 22452045427 28866915549 34839380835 48111525915 67356136281 112260227135 144334577745 202068408843 336780681405 1010342044215