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106302445326 = 232711257112211
BaseRepresentation
bin110001100000000011…
…1101001011100001110
3101011101101210201220200
41203000013221130032
53220201411222301
6120500142154330
710452162606450
oct1430007513416
9334341721820
10106302445326
114109aa60600
12187285829a6
13a04145132c
1452060bc2d0
152b726b5c86
hex18c01e970e

106302445326 has 144 divisors (see below), whose sum is σ = 289860514944. Its totient is φ = 27560412000.

The previous prime is 106302445273. The next prime is 106302445339. The reversal of 106302445326 is 623544203601.

106302445326 is a `hidden beast` number, since 10 + 630 + 2 + 4 + 4 + 5 + 3 + 2 + 6 = 666.

It is a super-2 number, since 2×1063024453262 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8699361 + ... + 8711571.

Almost surely, 2106302445326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106302445326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144930257472).

106302445326 is an abundant number, since it is smaller than the sum of its proper divisors (183558069618).

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

106302445326 is a wasteful number, since it uses less digits than its factorization.

106302445326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12819 (or 12805 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 106302445326 its reverse (623544203601), we get a palindrome (729846648927).

The spelling of 106302445326 in words is "one hundred six billion, three hundred two million, four hundred forty-five thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 363 462 571 693 726 847 1089 1142 1386 1694 1713 2178 2541 3426 3997 5082 5139 6281 7623 7994 10278 11991 12211 12562 15246 18843 23982 24422 35973 36633 37686 43967 56529 69091 71946 73266 85477 87934 109899 113058 131901 134321 138182 170954 207273 219798 256431 263802 268642 395703 402963 414546 483637 512862 621819 769293 791406 805926 940247 967274 1208889 1243638 1450911 1477531 1538586 1880494 2417778 2820741 2901822 2955062 4352733 4432593 5641482 6972481 8462223 8705466 8865186 10342717 13297779 13944962 16924446 20685434 20917443 26595558 31028151 41834886 48807367 62056302 62752329 76697291 93084453 97614734 125504658 146422101 153394582 186168906 230091873 292844202 439266303 460183746 536881037 690275619 843670201 878532606 1073762074 1380551238 1610643111 1687340402 2531010603 3221286222 4831929333 5062021206 5905691407 7593031809 9663858666 11811382814 15186063618 17717074221 35434148442 53151222663 106302445326