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10103132221 = 7133117212081
BaseRepresentation
bin10010110100011000…
…11001000000111101
3222002002211021221021
421122030121000331
5131142400212341
64350305104141
7505236130660
oct113214310075
928062737837
1010103132221
114314a55856
121b5b628051
13c50189860
146bbb2b6d7
153e1e809d1
hex25a31903d

10103132221 has 32 divisors (see below), whose sum is σ = 12849371136. Its totient is φ = 7727616000.

The previous prime is 10103132213. The next prime is 10103132231. The reversal of 10103132221 is 12223130101.

It is not a de Polignac number, because 10103132221 - 23 = 10103132213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10103132195 and 10103132204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103132231) 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, 4853901 + ... + 4855981.

It is an arithmetic number, because the mean of its divisors is an integer number (401542848).

Almost surely, 210103132221 is an apocalyptic number.

It is an amenable number.

10103132221 is a deficient number, since it is larger than the sum of its proper divisors (2746238915).

10103132221 is a wasteful number, since it uses less digits than its factorization.

10103132221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3853.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10103132221 its reverse (12223130101), we get a palindrome (22326262322).

The spelling of 10103132221 in words is "ten billion, one hundred three million, one hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 7 13 31 91 217 403 1721 2081 2821 12047 14567 22373 27053 53351 64511 156611 189371 373457 451577 693563 838643 3581401 4854941 5870501 25069807 46558213 111023431 325907491 777164017 1443304603 10103132221