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121613052 = 223112341977
BaseRepresentation
bin1110011111110…
…10101011111100
322110211120202010
413033322223330
5222113104202
620022331220
73004460001
oct717725374
9273746663
10121613052
1162713760
1234889b10
131c2701b2
14122198a8
15aa2376c
hex73faafc

121613052 has 96 divisors (see below), whose sum is σ = 331236864. Its totient is φ = 34355200.

The previous prime is 121613021. The next prime is 121613059. The reversal of 121613052 is 250316121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121613059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123988 + ... + 124964.

It is an arithmetic number, because the mean of its divisors is an integer number (3450384).

Almost surely, 2121613052 is an apocalyptic number.

121613052 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 121613052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165618432).

121613052 is an abundant number, since it is smaller than the sum of its proper divisors (209623812).

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

121613052 is a wasteful number, since it uses less digits than its factorization.

121613052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 121613052 is about 11027.8307930436. The cubic root of 121613052 is about 495.4426567832.

Adding to 121613052 its reverse (250316121), we get a palindrome (371929173).

The spelling of 121613052 in words is "one hundred twenty-one million, six hundred thirteen thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 41 44 46 66 69 82 92 123 132 138 164 246 253 276 451 492 506 759 902 943 977 1012 1353 1518 1804 1886 1954 2706 2829 2931 3036 3772 3908 5412 5658 5862 10373 10747 11316 11724 20746 21494 22471 31119 32241 40057 41492 42988 44942 62238 64482 67413 80114 89884 120171 124476 128964 134826 160228 240342 247181 269652 440627 480684 494362 741543 881254 921311 988724 1321881 1483086 1762508 1842622 2643762 2763933 2966172 3685244 5287524 5527866 10134421 11055732 20268842 30403263 40537684 60806526 121613052