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103121052 = 22323438689
BaseRepresentation
bin1100010010110…
…00000010011100
321012001002111020
412021120002130
5202344333202
614122124140
72361341316
oct611300234
9235032436
10103121052
1153233411
122a650650
1318497298
14d9a47b6
1590be5bc
hex625809c

103121052 has 48 divisors (see below), whose sum is σ = 256945920. Its totient is φ = 32110848.

The previous prime is 103121047. The next prime is 103121059. The reversal of 103121052 is 250121301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103121059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7524 + ... + 16212.

It is an arithmetic number, because the mean of its divisors is an integer number (5353040).

Almost surely, 2103121052 is an apocalyptic number.

103121052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103121052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128472960).

103121052 is an abundant number, since it is smaller than the sum of its proper divisors (153824868).

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

103121052 is a wasteful number, since it uses less digits than its factorization.

103121052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8762 (or 8760 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 103121052 is about 10154.8536178519. The cubic root of 103121052 is about 468.9383794669.

Adding to 103121052 its reverse (250121301), we get a palindrome (353242353).

The spelling of 103121052 in words is "one hundred three million, one hundred twenty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 12 23 43 46 69 86 92 129 138 172 258 276 516 989 1978 2967 3956 5934 8689 11868 17378 26067 34756 52134 104268 199847 373627 399694 599541 747254 799388 1120881 1199082 1494508 2241762 2398164 4483524 8593421 17186842 25780263 34373684 51560526 103121052