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103311054 = 232711131569
BaseRepresentation
bin1100010100001…
…10011011001110
321012101202010100
412022012123032
5202421423204
614130151530
72363062260
oct612063316
9235352110
10103311054
1153353140
122a7225a6
1318532902
14da13b30
15910aa39
hex62866ce

103311054 has 96 divisors (see below), whose sum is σ = 281698560. Its totient is φ = 26582400.

The previous prime is 103311053. The next prime is 103311059. The reversal of 103311054 is 450113301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103311053) by changing a digit.

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, 181282 + ... + 181850.

It is an arithmetic number, because the mean of its divisors is an integer number (2934360).

Almost surely, 2103311054 is an apocalyptic number.

103311054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103311054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140849280).

103311054 is an abundant number, since it is smaller than the sum of its proper divisors (178387506).

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

103311054 is a wasteful number, since it uses less digits than its factorization.

103311054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 723 counting only the distinct ones).

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

The square root of 103311054 is about 10164.2045433964. The cubic root of 103311054 is about 469.2262112981.

Adding to 103311054 its reverse (450113301), we get a palindrome (553424355).

The spelling of 103311054 in words is "one hundred three million, three hundred eleven thousand, fifty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 131 154 198 231 262 393 462 569 693 786 917 1138 1179 1386 1441 1707 1834 2358 2751 2882 3414 3983 4323 5121 5502 6259 7966 8253 8646 10087 10242 11949 12518 12969 16506 18777 20174 23898 25938 30261 35847 37554 43813 56331 60522 71694 74539 87626 90783 112662 131439 149078 181566 223617 262878 394317 447234 521773 670851 788634 819929 1043546 1341702 1565319 1639858 2459787 3130638 4695957 4919574 5739503 7379361 9391914 11479006 14758722 17218509 34437018 51655527 103311054