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11032132100 = 22521112837817
BaseRepresentation
bin10100100011001000…
…01111101000000100
31001110211220101012012
422101210033220010
5140043211211400
65022412513352
7540246401303
oct122144175004
931424811165
1011032132100
114751395150
12217a77b858
13106a797c22
1476927643a
154487d9d35
hex29190fa04

11032132100 has 72 divisors (see below), whose sum is σ = 26139764448. Its totient is φ = 4008044800.

The previous prime is 11032132087. The next prime is 11032132109. The reversal of 11032132100 is 123123011.

It is not an unprimeable number, because it can be changed into a prime (11032132109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1407392 + ... + 1415208.

It is an arithmetic number, because the mean of its divisors is an integer number (363052284).

Almost surely, 211032132100 is an apocalyptic number.

11032132100 is a gapful number since it is divisible by the number (10) 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 11032132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13069882224).

11032132100 is an abundant number, since it is smaller than the sum of its proper divisors (15107632348).

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

11032132100 is a wasteful number, since it uses less digits than its factorization.

11032132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9125 (or 9118 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11032132100 its reverse (123123011), we get a palindrome (11155255111).

The spelling of 11032132100 in words is "eleven billion, thirty-two million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1283 2566 5132 6415 7817 12830 14113 15634 25660 28226 31268 32075 39085 56452 64150 70565 78170 85987 128300 141130 156340 171974 195425 282260 343948 352825 390850 429935 705650 781700 859870 1411300 1719740 2149675 4299350 8598700 10029211 20058422 40116844 50146055 100292110 110321321 200584220 220642642 250730275 441285284 501460550 551606605 1002921100 1103213210 2206426420 2758033025 5516066050 11032132100