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1101330100 = 22521329131223
BaseRepresentation
bin100000110100100…
…1111011010110100
32211202100100212201
41001221033122310
54223420030400
6301141154244
736202102633
oct10151173264
92752310781
101101330100
11515743672
122689bb984
13147228220
14a63a751a
1566a4a06a
hex41a4f6b4

1101330100 has 144 divisors (see below), whose sum is σ = 2694827520. Its totient is φ = 387878400.

The previous prime is 1101330077. The next prime is 1101330101. The reversal of 1101330100 is 10331011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101330101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4938589 + ... + 4938811.

It is an arithmetic number, because the mean of its divisors is an integer number (18714080).

Almost surely, 21101330100 is an apocalyptic number.

1101330100 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 1101330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347413760).

1101330100 is an abundant number, since it is smaller than the sum of its proper divisors (1593497420).

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

1101330100 is a wasteful number, since it uses less digits than its factorization.

1101330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1101330100 is about 33186.2938575551. The cubic root of 1101330100 is about 1032.6960193159.

Adding to 1101330100 its reverse (10331011), we get a palindrome (1111661111).

The spelling of 1101330100 in words is "one billion, one hundred one million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 29 50 52 58 65 100 116 130 131 145 223 260 262 290 325 377 446 524 580 650 655 725 754 892 1115 1300 1310 1450 1508 1703 1885 2230 2620 2899 2900 3275 3406 3770 3799 4460 5575 5798 6467 6550 6812 7540 7598 8515 9425 11150 11596 12934 13100 14495 15196 17030 18850 18995 22300 25868 28990 29213 32335 34060 37700 37990 42575 49387 57980 58426 64670 72475 75980 84071 85150 94975 98774 116852 129340 144950 146065 161675 168142 170300 189950 197548 246935 289900 292130 323350 336284 379769 379900 420355 493870 584260 646700 730325 759538 840710 847177 987740 1234675 1460650 1519076 1681420 1694354 1898845 2101775 2469350 2921300 3388708 3797690 4203550 4235885 4938700 7595380 8407100 8471770 9494225 11013301 16943540 18988450 21179425 22026602 37976900 42358850 44053204 55066505 84717700 110133010 220266020 275332525 550665050 1101330100