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1100153000 = 23534126833
BaseRepresentation
bin100000110010011…
…0000000010101000
32211200010120012102
41001210300002220
54223114344000
6301100032532
736156101102
oct10144600250
92750116172
101100153000
1151500a261
12268532748
13146c0550b
14a617c572
15668b63d5
hex419300a8

1100153000 has 64 divisors (see below), whose sum is σ = 2637245520. Its totient is φ = 429312000.

The previous prime is 1100152981. The next prime is 1100153027. The reversal of 1100153000 is 3510011.

It can be written as a sum of positive squares in 8 ways, for example, as 124590244 + 975562756 = 11162^2 + 31234^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27584 + ... + 54416.

Almost surely, 21100153000 is an apocalyptic number.

1100153000 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 1100153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318622760).

1100153000 is an abundant number, since it is smaller than the sum of its proper divisors (1537092520).

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

1100153000 is a wasteful number, since it uses less digits than its factorization.

1100153000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26895 (or 26881 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 1100153000 is about 33168.5543851402. The cubic root of 1100153000 is about 1032.3279734975.

Adding to 1100153000 its reverse (3510011), we get a palindrome (1103663011).

The spelling of 1100153000 in words is "one billion, one hundred million, one hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 820 1000 1025 1640 2050 4100 5125 8200 10250 20500 26833 41000 53666 107332 134165 214664 268330 536660 670825 1073320 1100153 1341650 2200306 2683300 3354125 4400612 5366600 5500765 6708250 8801224 11001530 13416500 22003060 26833000 27503825 44006120 55007650 110015300 137519125 220030600 275038250 550076500 1100153000