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103121442 = 23237672311
BaseRepresentation
bin1100010010110…
…00001000100010
321012001010000200
412021120020202
5202344341232
614122130030
72361342414
oct611301042
9235033020
10103121442
1153233736
122a650916
1318497508
14d9a49b4
1590be77c
hex6258222

103121442 has 48 divisors (see below), whose sum is σ = 232994112. Its totient is φ = 32931360.

The previous prime is 103121429. The next prime is 103121467. The reversal of 103121442 is 244121301.

103121442 is a `hidden beast` number, since 103 + 121 + 442 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43467 + ... + 45777.

It is an arithmetic number, because the mean of its divisors is an integer number (4854044).

Almost surely, 2103121442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103121442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116497056).

103121442 is an abundant number, since it is smaller than the sum of its proper divisors (129872670).

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

103121442 is a wasteful number, since it uses less digits than its factorization.

103121442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 103121442 is about 10154.8728204739. The cubic root of 103121442 is about 468.9389706353.

Adding to 103121442 its reverse (244121301), we get a palindrome (347242743).

The spelling of 103121442 in words is "one hundred three million, one hundred twenty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 37 67 74 111 134 201 222 333 402 603 666 1206 2311 2479 4622 4958 6933 7437 13866 14874 20799 22311 41598 44622 85507 154837 171014 256521 309674 464511 513042 769563 929022 1393533 1539126 2787066 5728969 11457938 17186907 34373814 51560721 103121442