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103101438 = 23112295983
BaseRepresentation
bin1100010010100…
…11001111111110
321012000002120210
412021103033332
5202343221223
614121453250
72361230166
oct611231776
9235002523
10103101438
115321a700
122a641226
131848b38b
14d99b5a6
1590b8893
hex62533fe

103101438 has 96 divisors (see below), whose sum is σ = 241315200. Its totient is φ = 29296960.

The previous prime is 103101437. The next prime is 103101491. The reversal of 103101438 is 834101301.

It is a super-3 number, since 3×1031014383 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103101431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1242145 + ... + 1242227.

It is an arithmetic number, because the mean of its divisors is an integer number (2513700).

Almost surely, 2103101438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103101438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120657600).

103101438 is an abundant number, since it is smaller than the sum of its proper divisors (138213762).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103101438 is a wasteful number, since it uses less digits than its factorization.

103101438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 103101438 is about 10153.8878268376. The cubic root of 103101438 is about 468.9086463186.

Adding to 103101438 its reverse (834101301), we get a palindrome (937202739).

The spelling of 103101438 in words is "one hundred three million, one hundred one thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 11 22 29 33 58 59 66 83 87 118 121 166 174 177 242 249 319 354 363 498 638 649 726 913 957 1298 1711 1826 1914 1947 2407 2739 3422 3509 3894 4814 4897 5133 5478 7018 7139 7221 9794 10043 10266 10527 14278 14442 14691 18821 20086 21054 21417 26477 29382 30129 37642 42834 52954 53867 56463 60258 79431 107734 112926 142013 158862 161601 207031 284026 291247 323202 414062 426039 582494 592537 621093 852078 873741 1185074 1242186 1562143 1747482 1777611 3124286 3555222 4686429 9372858 17183573 34367146 51550719 103101438