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103113054 = 23311243367
BaseRepresentation
bin1100010010101…
…10000101011110
321012000200112000
412021112011132
5202344104204
614122023130
72361306102
oct611260536
9235020460
10103113054
1153228400
122a647aa6
1318493755
14d9a1902
1590bc039
hex625615e

103113054 has 96 divisors (see below), whose sum is σ = 258424320. Its totient is φ = 30436560.

The previous prime is 103112987. The next prime is 103113077. The reversal of 103113054 is 450311301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280779 + ... + 281145.

It is an arithmetic number, because the mean of its divisors is an integer number (2691920).

Almost surely, 2103113054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103113054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129212160).

103113054 is an abundant number, since it is smaller than the sum of its proper divisors (155311266).

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

103113054 is a wasteful number, since it uses less digits than its factorization.

103113054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 103113054 is about 10154.4598083798. The cubic root of 103113054 is about 468.9262556375.

Adding to 103113054 its reverse (450311301), we get a palindrome (553424355).

The spelling of 103113054 in words is "one hundred three million, one hundred thirteen thousand, fifty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 43 54 66 86 99 121 129 198 242 258 297 363 367 387 473 594 726 734 774 946 1089 1101 1161 1419 2178 2202 2322 2838 3267 3303 4037 4257 5203 6534 6606 8074 8514 9909 10406 12111 12771 15609 15781 19818 24222 25542 31218 31562 36333 44407 46827 47343 72666 88814 93654 94686 108999 133221 140481 142029 173591 217998 266442 280962 284058 347182 399663 426087 520773 799326 852174 1041546 1198989 1562319 1909501 2397978 3124638 3819002 4686957 5728503 9373914 11457006 17185509 34371018 51556527 103113054