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230202232031 = 192313717921481
BaseRepresentation
bin1101011001100100011…
…1110100110011011111
3211000012012010001001202
43112121013310303133
512232423232411111
6253430424430115
722426424454422
oct3263107646337
9730165101052
10230202232031
11896a0182142
123874631833b
13189285704a5
14b1db32d9b9
155ec4be8b3b
hex35991f4cdf

230202232031 has 32 divisors (see below), whose sum is σ = 256134182400. Its totient is φ = 205915184640.

The previous prime is 230202231989. The next prime is 230202232061. The reversal of 230202232031 is 130232202032.

It is a de Polignac number, because none of the positive numbers 2k-230202232031 is a prime.

It is a super-2 number, since 2×2302022320312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230202231994 and 230202232012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230202232061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10705811 + ... + 10727291.

It is an arithmetic number, because the mean of its divisors is an integer number (8004193200).

Almost surely, 2230202232031 is an apocalyptic number.

230202232031 is a deficient number, since it is larger than the sum of its proper divisors (25931950369).

230202232031 is a wasteful number, since it uses less digits than its factorization.

230202232031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21839.

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 230202232031 its reverse (130232202032), we get a palindrome (360434434063).

The spelling of 230202232031 in words is "two hundred thirty billion, two hundred two million, two hundred thirty-two thousand, thirty-one".

Divisors: 1 19 23 137 179 437 2603 3151 3401 4117 21481 24523 59869 78223 408139 465937 494063 564029 2942897 3845099 9387197 10716551 55915043 67686631 73056881 88437277 526778563 1286045989 1680308263 10008792697 12115906949 230202232031