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230132311101 = 32711834000979
BaseRepresentation
bin1101011001010011110…
…1000110010000111101
3211000000022112200120200
43112110331012100331
512232302332423401
6253415450034113
722424615240340
oct3262475062075
9730008480520
10230132311101
1189664765550
1238726a18939
1318916c2b964
14b1d1d2c457
155ebd9d6686
hex3594f4643d

230132311101 has 48 divisors (see below), whose sum is σ = 419430735360. Its totient is φ = 118108870560.

The previous prime is 230132311093. The next prime is 230132311121. The reversal of 230132311101 is 101113231032.

230132311101 is a `hidden beast` number, since 230 + 1 + 323 + 1 + 110 + 1 = 666.

It is not a de Polignac number, because 230132311101 - 23 = 230132311093 is a prime.

It is a super-2 number, since 2×2301323111012 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230132311121) 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, 1942971 + ... + 2058008.

It is an arithmetic number, because the mean of its divisors is an integer number (8738140320).

Almost surely, 2230132311101 is an apocalyptic number.

230132311101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

230132311101 is a deficient number, since it is larger than the sum of its proper divisors (189298424259).

230132311101 is a wasteful number, since it uses less digits than its factorization.

230132311101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4001086 (or 4001083 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 230132311101 its reverse (101113231032), we get a palindrome (331245542133).

The spelling of 230132311101 in words is "two hundred thirty billion, one hundred thirty-two million, three hundred eleven thousand, one hundred one".

Divisors: 1 3 7 9 11 21 33 63 77 83 99 231 249 581 693 747 913 1743 2739 5229 6391 8217 19173 57519 4000979 12002937 28006853 36008811 44010769 84020559 132032307 252061677 308075383 332081257 396096921 924226149 996243771 2324568799 2772678447 2988731313 3652893827 6973706397 10958681481 20921119191 25570256789 32876044443 76710770367 230132311101