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103442202052 = 22734710914717
BaseRepresentation
bin110000001010110100…
…0101011110111000100
3100220000001202022202121
41200111220223313010
53143322200431202
6115304245215324
710321252132000
oct1402550536704
9326001668677
10103442202052
113a962476492
121806a701544
1399a69c04a7
145014295700
152a5652b537
hex1815a2bdc4

103442202052 has 96 divisors (see below), whose sum is σ = 217590912000. Its totient is φ = 42988143744.

The previous prime is 103442202043. The next prime is 103442202103. The reversal of 103442202052 is 250202244301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7021398 + ... + 7036114.

It is an arithmetic number, because the mean of its divisors is an integer number (2266572000).

Almost surely, 2103442202052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103442202052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108795456000).

103442202052 is an abundant number, since it is smaller than the sum of its proper divisors (114148709948).

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

103442202052 is a wasteful number, since it uses less digits than its factorization.

103442202052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14898 (or 14882 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 103442202052 its reverse (250202244301), we get a palindrome (353644446353).

The spelling of 103442202052 in words is "one hundred three billion, four hundred forty-two million, two hundred two thousand, fifty-two".

Divisors: 1 2 4 7 14 28 47 49 94 98 109 188 196 218 329 343 436 658 686 763 1316 1372 1526 2303 3052 4606 5123 5341 9212 10246 10682 14717 16121 20492 21364 29434 32242 35861 37387 58868 64484 71722 74774 103019 143444 149548 206038 251027 412076 502054 691699 721133 1004108 1383398 1442266 1604153 1757189 2766796 2884532 3208306 3514378 4841893 5047931 6416612 7028756 9683786 10095862 11229071 19367572 20191724 22458142 33893251 44916284 67786502 75395191 78603497 135573004 150790382 157206994 237252757 301580764 314413988 474505514 527766337 550224479 949011028 1055532674 1100448958 2111065348 2200897916 3694364359 7388728718 14777457436 25860550513 51721101026 103442202052