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102303201 = 371121319163
BaseRepresentation
bin1100001100100…
…00010111100001
321010111112121110
412012100113201
5202142200301
614052413533
72351364030
oct606202741
9233445543
10102303201
1152824a00
122a3172a9
131826bc50
14d830717
158eac0d6
hex61905e1

102303201 has 96 divisors (see below), whose sum is σ = 195435520. Its totient is φ = 46189440.

The previous prime is 102303169. The next prime is 102303209.

It is a happy number.

102303201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102303201 - 25 = 102303169 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102303209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 627546 + ... + 627708.

Almost surely, 2102303201 is an apocalyptic number.

102303201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102303201 is a deficient number, since it is larger than the sum of its proper divisors (93132319).

102303201 is a wasteful number, since it uses less digits than its factorization.

102303201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 102303201 is about 10114.5044861328. The cubic root of 102303201 is about 467.6953739335.

It can be divided in two parts, 10230 and 3201, that added together give a palindrome (13431).

The spelling of 102303201 in words is "one hundred two million, three hundred three thousand, two hundred one".

Divisors: 1 3 7 11 13 19 21 33 39 57 77 91 121 133 143 163 209 231 247 273 363 399 429 489 627 741 847 1001 1141 1463 1573 1729 1793 2119 2299 2541 2717 3003 3097 3423 4389 4719 5187 5379 6357 6897 8151 9291 11011 12551 14833 16093 19019 19723 21679 23309 29887 33033 34067 37653 40261 44499 48279 57057 59169 65037 69927 89661 102201 120783 138061 163163 209209 238469 256399 281827 374737 414183 442871 489489 627627 715407 769197 845481 1124211 1328613 1794793 2623159 3100097 4871581 5384379 7869477 9300291 14614743 34101067 102303201