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103133121 = 37131959337
BaseRepresentation
bin1100010010110…
…10111111000001
321012001201001020
412021122333001
5202400224441
614122300053
72361421440
oct611327701
9235051036
10103133121
1153241493
122a657629
131849c920
14d9a8d57
1590c2e66
hex625afc1

103133121 has 64 divisors (see below), whose sum is σ = 181708800. Its totient is φ = 50512896.

The previous prime is 103133119. The next prime is 103133123. The reversal of 103133121 is 121331301.

It is an interprime number because it is at equal distance from previous prime (103133119) and next prime (103133123).

It is not a de Polignac number, because 103133121 - 21 = 103133119 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 103133121.

It is not an unprimeable number, because it can be changed into a prime (103133123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 305865 + ... + 306201.

It is an arithmetic number, because the mean of its divisors is an integer number (2839200).

Almost surely, 2103133121 is an apocalyptic number.

It is an amenable number.

103133121 is a deficient number, since it is larger than the sum of its proper divisors (78575679).

103133121 is a wasteful number, since it uses less digits than its factorization.

103133121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 103133121 is about 10155.4478483226. The cubic root of 103133121 is about 468.9566731661.

Adding to 103133121 its reverse (121331301), we get a palindrome (224464422).

The spelling of 103133121 in words is "one hundred three million, one hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 3 7 13 19 21 39 57 59 91 133 177 247 273 337 399 413 741 767 1011 1121 1239 1729 2301 2359 3363 4381 5187 5369 6403 7077 7847 13143 14573 16107 19209 19883 23541 30667 43719 44821 59649 83239 92001 102011 134463 139181 249717 258479 306033 377777 417543 582673 775437 1133331 1748019 1809353 2644439 4911101 5428059 7933317 14733303 34377707 103133121