Search a number
-
+
102203201003231 = 3722770191733651
BaseRepresentation
bin10111001111010000001001…
…011111011001111011011111
3111101212112022210200212200102
4113033100021133121323133
5101343444123424100411
61001211300302251315
730345636411523256
oct2717201137317337
9441775283625612
10102203201003231
112a624152597279
12b5677b9286b3b
134504949c29823
141b3493894d79d
15bc3816c6bd3b
hex5cf4097d9edf

102203201003231 has 16 divisors (see below), whose sum is σ = 105442933714560. Its totient is φ = 98988724375200.

The previous prime is 102203201003177. The next prime is 102203201003237. The reversal of 102203201003231 is 132300102302201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102203201003231 is a prime.

It is a super-2 number, since 2×1022032010032312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102203201003237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58085756 + ... + 59819406.

It is an arithmetic number, because the mean of its divisors is an integer number (6590183357160).

Almost surely, 2102203201003231 is an apocalyptic number.

102203201003231 is a deficient number, since it is larger than the sum of its proper divisors (3239732711329).

102203201003231 is a wasteful number, since it uses less digits than its factorization.

102203201003231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740934.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102203201003231 its reverse (132300102302201), we get a palindrome (234503303305432).

The spelling of 102203201003231 in words is "one hundred two trillion, two hundred three billion, two hundred one million, three thousand, two hundred thirty-one".

Divisors: 1 37 227 7019 8399 259703 1593313 1733651 58952581 64145087 393538777 12168496369 14560934749 450234365653 2762248675763 102203201003231