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34131023223 = 31110124142491
BaseRepresentation
bin11111110010010111…
…100001010101110111
310021002122112121220020
4133302113201111313
51024400020220343
623402442140223
72315540624223
oct376227412567
9107078477806
1034131023223
1113525088a10
1267464b1673
1332ac19cc3b
14191ad47783
15d4b630b83
hex7f25e1577

34131023223 has 32 divisors (see below), whose sum is σ = 50345881344. Its totient is φ = 20395200000.

The previous prime is 34131023207. The next prime is 34131023239. The reversal of 34131023223 is 32232013143.

It is an interprime number because it is at equal distance from previous prime (34131023207) and next prime (34131023239).

It is not a de Polignac number, because 34131023223 - 24 = 34131023207 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34131023193 and 34131023202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34131023323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 782008 + ... + 824498.

It is an arithmetic number, because the mean of its divisors is an integer number (1573308792).

Almost surely, 234131023223 is an apocalyptic number.

34131023223 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34131023223 is a deficient number, since it is larger than the sum of its proper divisors (16214858121).

34131023223 is a wasteful number, since it uses less digits than its factorization.

34131023223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42847.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34131023223 its reverse (32232013143), we get a palindrome (66363036366).

The spelling of 34131023223 in words is "thirty-four billion, one hundred thirty-one million, twenty-three thousand, two hundred twenty-three".

Divisors: 1 3 11 33 101 241 303 723 1111 2651 3333 7953 24341 42491 73023 127473 267751 467401 803253 1402203 4291591 10240331 12874773 30720993 47207501 112643641 141622503 337930923 1034273431 3102820293 11377007741 34131023223