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101863229 = 1324161241
BaseRepresentation
bin1100001001001…
…00111100111101
321002200012002012
412010210330331
5202034110404
614035141005
72344552226
oct604447475
9232605065
10101863229
1152554396
122a144765
1318146900
14d75824d
158e21a6e
hex6124f3d

101863229 has 24 divisors (see below), whose sum is σ = 115320744. Its totient is φ = 89856000.

The previous prime is 101863213. The next prime is 101863243. The reversal of 101863229 is 922368101.

It can be written as a sum of positive squares in 12 ways, for example, as 90820900 + 11042329 = 9530^2 + 3323^2 .

It is not a de Polignac number, because 101863229 - 24 = 101863213 is a prime.

It is a super-2 number, since 2×1018632292 = 20752234844612882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101863195 and 101863204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101863129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422549 + ... + 422789.

It is an arithmetic number, because the mean of its divisors is an integer number (4805031).

Almost surely, 2101863229 is an apocalyptic number.

It is an amenable number.

101863229 is a deficient number, since it is larger than the sum of its proper divisors (13457515).

101863229 is a wasteful number, since it uses less digits than its factorization.

101863229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 101863229 is about 10092.7314935056. The cubic root of 101863229 is about 467.0239431254.

The spelling of 101863229 in words is "one hundred one million, eight hundred sixty-three thousand, two hundred twenty-nine".

Divisors: 1 13 41 61 169 241 533 793 2501 3133 6929 9881 10309 14701 32513 40729 128453 191113 422669 602741 1669889 2484469 7835633 101863229