Search a number
-
+
103101054112 = 2573720296131
BaseRepresentation
bin110000000000101001…
…1010011110010100000
3100212010021211012202201
41200001103103302200
53142122332212422
6115210341222544
710306640333410
oct1400123236240
9325107735681
10103101054112
113a7a7947a41
1217b94401a54
1399511164c4
144dc0c50640
152a365e0727
hex18014d3ca0

103101054112 has 96 divisors (see below), whose sum is σ = 238403329920. Its totient is φ = 42963747840.

The previous prime is 103101054097. The next prime is 103101054139. The reversal of 103101054112 is 211450101301.

103101054112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 103101054112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16813287 + ... + 16819417.

It is an arithmetic number, because the mean of its divisors is an integer number (2483368020).

Almost surely, 2103101054112 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 103101054112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119201664960).

103101054112 is an abundant number, since it is smaller than the sum of its proper divisors (135302275808).

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

103101054112 is a wasteful number, since it uses less digits than its factorization.

103101054112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8214 (or 8206 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 103101054112 its reverse (211450101301), we get a palindrome (314551155413).

The spelling of 103101054112 in words is "one hundred three billion, one hundred one million, fifty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 1036 1184 2029 2072 4058 4144 6131 8116 8288 12262 14203 16232 24524 28406 32464 42917 49048 56812 64928 75073 85834 98096 113624 150146 171668 196192 226847 227248 300292 343336 453694 454496 525511 600584 686672 907388 1051022 1201168 1373344 1587929 1814776 2102044 2402336 3175858 3629552 4204088 6351716 7259104 8408176 12439799 12703432 16816352 24879598 25406864 49759196 50813728 87078593 99518392 174157186 199036784 348314372 398073568 460272563 696628744 920545126 1393257488 1841090252 2786514976 3221907941 3682180504 6443815882 7364361008 12887631764 14728722016 25775263528 51550527056 103101054112