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103100052 = 223115314737
BaseRepresentation
bin1100010010100…
…10111010010100
321012000000200110
412021102322110
5202343200202
614121443020
72361223146
oct611227224
9235000613
10103100052
1153219660
122a640470
131848a863
14d99ac96
1590b826c
hex6252e94

103100052 has 48 divisors (see below), whose sum is σ = 267406272. Its totient is φ = 30650880.

The previous prime is 103100047. The next prime is 103100071. The reversal of 103100052 is 250001301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373 + ... + 14364.

It is an arithmetic number, because the mean of its divisors is an integer number (5570964).

Almost surely, 2103100052 is an apocalyptic number.

103100052 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 103100052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133703136).

103100052 is an abundant number, since it is smaller than the sum of its proper divisors (164306220).

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

103100052 is a wasteful number, since it uses less digits than its factorization.

103100052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14808 (or 14806 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 103100052 is about 10153.8195768883. The cubic root of 103100052 is about 468.9065451184.

Adding to 103100052 its reverse (250001301), we get a palindrome (353101353).

The spelling of 103100052 in words is "one hundred three million, one hundred thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 583 636 1166 1749 2332 3498 6996 14737 29474 44211 58948 88422 162107 176844 324214 486321 648428 781061 972642 1562122 1945284 2343183 3124244 4686366 8591671 9372732 17183342 25775013 34366684 51550026 103100052