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230202101102031 = 32376312948337159
BaseRepresentation
bin110100010101111000011010…
…011101100111010111001111
31010012002002212020012112200200
4310111320122131213113033
5220133112400340231111
62133333215120424543
766326360444024652
oct6425703235472717
91105062766175620
10230202101102031
1167393187796663
122199a861a78153
139b5ac71102926
1440bbbac147899
151b931419c1256
hexd15e1a7675cf

230202101102031 has 48 divisors (see below), whose sum is σ = 342063027371520. Its totient is φ = 149074572588480.

The previous prime is 230202101102009. The next prime is 230202101102081. The reversal of 230202101102031 is 130201101202032.

230202101102031 is a `hidden beast` number, since 230 + 20 + 210 + 1 + 1 + 0 + 203 + 1 = 666.

It is not a de Polignac number, because 230202101102031 - 26 = 230202101101967 is a prime.

It is a super-2 number, since 2×2302021011020312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230202101101995 and 230202101102013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230202101102081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6195037830 + ... + 6195074988.

It is an arithmetic number, because the mean of its divisors is an integer number (7126313070240).

Almost surely, 2230202101102031 is an apocalyptic number.

230202101102031 is a deficient number, since it is larger than the sum of its proper divisors (111860926269489).

230202101102031 is a wasteful number, since it uses less digits than its factorization.

230202101102031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67316 (or 67313 counting only the distinct ones).

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

Adding to 230202101102031 its reverse (130201101202032), we get a palindrome (360403202304063).

The spelling of 230202101102031 in words is "two hundred thirty trillion, two hundred two billion, one hundred one million, one hundred two thousand, thirty-one".

Divisors: 1 3 9 37 111 333 631 1893 5679 23347 29483 37159 70041 88449 111477 210123 265347 334431 1090871 1374883 3272613 4124649 9817839 12373947 18603773 23447329 55811319 70341987 167433957 211025961 688339601 867551173 1095558797 2065018803 2602653519 3286676391 6195056409 7807960557 9860029173 40535675489 121607026467 364821079401 691297600907 2073892802721 6221678408163 25578011233559 76734033700677 230202101102031