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11001320100 = 22335216572459
BaseRepresentation
bin10100011111011101…
…01101001010100100
31001101200220222002000
422033232231022210
5140012314220400
65015352245300
7536423451351
oct121756551244
931350828060
1011001320100
114735a5a691
1221703a0830
13106429a484
14765135628
15445c50600
hex28fbad2a4

11001320100 has 144 divisors (see below), whose sum is σ = 35402942400. Its totient is φ = 2930722560.

The previous prime is 11001320063. The next prime is 11001320107. The reversal of 11001320100 is 102310011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11001320107) 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, 4472671 + ... + 4475129.

Almost surely, 211001320100 is an apocalyptic number.

11001320100 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 11001320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17701471200).

11001320100 is an abundant number, since it is smaller than the sum of its proper divisors (24401622300).

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

11001320100 is a wasteful number, since it uses less digits than its factorization.

11001320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4139 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11001320100 its reverse (102310011), we get a palindrome (11103630111).

The spelling of 11001320100 in words is "eleven billion, one million, three hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 1657 2459 2700 3314 4918 4971 6628 7377 8285 9836 9942 12295 14754 14913 16570 19884 22131 24590 24855 29508 29826 33140 36885 41425 44262 44739 49180 49710 59652 61475 66393 73770 74565 82850 88524 89478 99420 110655 122950 124275 132786 147540 149130 165700 178956 184425 221310 223695 245900 248550 265572 298260 331965 368850 372825 442620 447390 497100 553275 663930 737700 745650 894780 1106550 1118475 1327860 1491300 1659825 2213100 2236950 3319650 4074563 4473900 6639300 8149126 12223689 16298252 20372815 24447378 36671067 40745630 48894756 61118445 73342134 81491260 101864075 110013201 122236890 146684268 183355335 203728150 220026402 244473780 305592225 366710670 407456300 440052804 550066005 611184450 733421340 916776675 1100132010 1222368900 1833553350 2200264020 2750330025 3667106700 5500660050 11001320100