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1102201984 = 27135931117
BaseRepresentation
bin100000110110010…
…0100010010000000
32211210222122212201
41001230210102000
54224130430414
6301212002544
736212363602
oct10154442200
92753878781
101102201984
11516189734
12269160454
13147472030
14a6553172
1566b6d574
hex41b24480

1102201984 has 64 divisors (see below), whose sum is σ = 2370808440. Its totient is φ = 507396096.

The previous prime is 1102201949. The next prime is 1102201999. The reversal of 1102201984 is 4891022011.

It can be written as a sum of positive squares in 4 ways, for example, as 516561984 + 585640000 = 22728^2 + 24200^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 986194 + ... + 987310.

Almost surely, 21102201984 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 1102201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185404220).

1102201984 is an abundant number, since it is smaller than the sum of its proper divisors (1268606456).

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

1102201984 is a wasteful number, since it uses less digits than its factorization.

1102201984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 1102201984 is about 33199.4274649428. The cubic root of 1102201984 is about 1032.9684637108.

Adding to 1102201984 its reverse (4891022011), we get a palindrome (5993223995).

The spelling of 1102201984 in words is "one billion, one hundred two million, two hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 593 832 1117 1186 1664 2234 2372 4468 4744 7709 8936 9488 14521 15418 17872 18976 29042 30836 35744 37952 58084 61672 71488 75904 116168 123344 142976 232336 246688 464672 493376 662381 929344 986752 1324762 1858688 2649524 5299048 8610953 10598096 17221906 21196192 34443812 42392384 68887624 84784768 137775248 275550496 551100992 1102201984