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100031313343 = 13101235732323
BaseRepresentation
bin101110100101001010…
…1001011010110111111
3100120012100120020002011
41131022111023112333
53114331004011333
6113542002112051
710140604064023
oct1351225132677
9316170506064
10100031313343
11394720832a5
121747834b627
139582154450
144bad292383
152906d729cd
hex174a54b5bf

100031313343 has 16 divisors (see below), whose sum is σ = 108842148576. Its totient is φ = 91380758400.

The previous prime is 100031313313. The next prime is 100031313383. The reversal of 100031313343 is 343313130001.

It is a cyclic number.

It is not a de Polignac number, because 100031313343 - 29 = 100031312831 is a prime.

It is a super-4 number, since 4×1000313133434 (a number of 45 digits) contains 4444 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 (100031313313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3078580 + ... + 3110902.

It is an arithmetic number, because the mean of its divisors is an integer number (6802634286).

Almost surely, 2100031313343 is an apocalyptic number.

100031313343 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100031313343 is a deficient number, since it is larger than the sum of its proper divisors (8810835233).

100031313343 is a wasteful number, since it uses less digits than its factorization.

100031313343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34794.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 100031313343 its reverse (343313130001), we get a palindrome (443344443344).

The spelling of 100031313343 in words is "one hundred billion, thirty-one million, three hundred thirteen thousand, three hundred forty-three".

Divisors: 1 13 101 1313 2357 30641 32323 238057 420199 3094741 3264623 42440099 76185311 990409043 7694716411 100031313343