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10102302112230 = 2335194494385879
BaseRepresentation
bin1001001100000010000000…
…1000001111100111100110
31022202202210210201000101000
42103000200020033213212
52311004003320042410
633252533350214130
72061603315062256
oct223004010174746
938682723630330
1010102302112230
1132453a91a3109
121171a88654346
1358384889c643
1426cd4dc0b966
15127bb6319dc0
hex9302020f9e6

10102302112230 has 128 divisors (see below), whose sum is σ = 28420502400000. Its totient is φ = 2546475853824.

The previous prime is 10102302112229. The next prime is 10102302112241. The reversal of 10102302112230 is 3221120320101.

10102302112230 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 230 + 211 + 223 + 0 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110431 + ... + 4496309.

It is an arithmetic number, because the mean of its divisors is an integer number (222035175000).

Almost surely, 210102302112230 is an apocalyptic number.

10102302112230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102302112230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14210251200000).

10102302112230 is an abundant number, since it is smaller than the sum of its proper divisors (18318200287770).

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

10102302112230 is a wasteful number, since it uses less digits than its factorization.

10102302112230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4386363 (or 4386357 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10102302112230 its reverse (3221120320101), we get a palindrome (13323422432331).

The spelling of 10102302112230 in words is "ten trillion, one hundred two billion, three hundred two million, one hundred twelve thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 449 513 570 855 898 1026 1347 1710 2245 2565 2694 4041 4490 5130 6735 8082 8531 12123 13470 17062 20205 24246 25593 40410 42655 51186 60615 76779 85310 121230 127965 153558 230337 255930 383895 460674 767790 1151685 2303370 4385879 8771758 13157637 21929395 26315274 39472911 43858790 65788185 78945822 83331701 118418733 131576370 166663402 197364555 236837466 249995103 394729110 416658505 499990206 592093665 749985309 833317010 1184187330 1249975515 1499970618 1969259671 2249955927 2499951030 3749926545 3938519342 4499911854 5907779013 7499853090 9846298355 11249779635 11815558026 17723337039 19692596710 22499559270 29538895065 35446674078 37415933749 53170011117 59077790130 74831867498 88616685195 106340022234 112247801247 177233370390 187079668745 224495602494 265850055585 336743403741 374159337490 531700111170 561239006235 673486807482 1010230211223 1122478012470 1683717018705 2020460422446 3367434037410 5051151056115 10102302112230