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10103321002230 = 23253726311536237
BaseRepresentation
bin1001001100000101110011…
…0111000000000011110110
31022202212102210220222200200
42103001130313000003312
52311013100134032410
633253222424421330
72061640466360121
oct223013467000366
938685383828620
1010103321002230
113245881349265
121172111917846
1358397b9c1931
1426d0092753b8
15127c259cd3c0
hex9305cdc00f6

10103321002230 has 96 divisors (see below), whose sum is σ = 27081180270144. Its totient is φ = 2611434670848.

The previous prime is 10103321002213. The next prime is 10103321002241. The reversal of 10103321002230 is 3220012330101.

10103321002230 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 332 + 100 + 2 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4892329 + ... + 6643908.

It is an arithmetic number, because the mean of its divisors is an integer number (282095627814).

Almost surely, 210103321002230 is an apocalyptic number.

10103321002230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10103321002230 is an abundant number, since it is smaller than the sum of its proper divisors (16977859267914).

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

10103321002230 is a wasteful number, since it uses less digits than its factorization.

10103321002230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11536550 (or 11536547 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10103321002230 its reverse (3220012330101), we get a palindrome (13323333332331).

The spelling of 10103321002230 in words is "ten trillion, one hundred three billion, three hundred twenty-one million, two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 263 333 370 526 555 666 789 1110 1315 1578 1665 2367 2630 3330 3945 4734 7890 9731 11835 19462 23670 29193 48655 58386 87579 97310 145965 175158 291930 437895 875790 11536237 23072474 34608711 57681185 69217422 103826133 115362370 173043555 207652266 346087110 426840769 519130665 853681538 1038261330 1280522307 2134203845 2561044614 3034030331 3841566921 4268407690 6068060662 6402611535 7683133842 9102090993 12805223070 15170151655 18204181986 19207834605 27306272979 30340303310 38415669210 45510454965 54612545958 91020909930 112259122247 136531364895 224518244494 273062729790 336777366741 561295611235 673554733482 1010332100223 1122591222470 1683886833705 2020664200446 3367773667410 5051660501115 10103321002230