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10023501101331 = 3171934583222199
BaseRepresentation
bin1001000111011100011100…
…1110001111100100010011
31022111020102000200220012210
42101313013032033210103
52303211112240220311
633152422143123203
72053113462405564
oct221670716174423
938436360626183
1010023501101331
113214a41072313
12115a7562a3503
1357929ac96b43
142691d63bc16b
15125b032373a6
hex91dc738f913

10023501101331 has 32 divisors (see below), whose sum is σ = 14227313126400. Its totient is φ = 6255275433984.

The previous prime is 10023501101287. The next prime is 10023501101363. The reversal of 10023501101331 is 13310110532001.

It is not a de Polignac number, because 10023501101331 - 219 = 10023500577043 is a prime.

It is a super-2 number, since 2×100235011013312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10023501101298 and 10023501101307.

It is not an unprimeable number, because it can be changed into a prime (10023501101371) 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, 44999370 + ... + 45221568.

It is an arithmetic number, because the mean of its divisors is an integer number (444603535200).

Almost surely, 210023501101331 is an apocalyptic number.

10023501101331 is a deficient number, since it is larger than the sum of its proper divisors (4203812025069).

10023501101331 is a wasteful number, since it uses less digits than its factorization.

10023501101331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226995.

The product of its (nonzero) digits is 270, while the sum is 21.

Adding to 10023501101331 its reverse (13310110532001), we get a palindrome (23333611633332).

The spelling of 10023501101331 in words is "ten trillion, twenty-three billion, five hundred one million, one hundred one thousand, three hundred thirty-one".

Divisors: 1 3 17 51 193 579 3281 4583 9843 13749 77911 222199 233733 666597 884519 2653557 3777383 11332149 15036823 42884407 45110469 128653221 729034919 1018338017 2187104757 3055014051 17311746289 51935238867 196539237281 589617711843 3341167033777 10023501101331