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13110221100 = 223523710311467
BaseRepresentation
bin11000011010110111…
…00001100100101100
31020211200012020101110
430031123201210230
5203322204033400
610004525312020
7642612016644
oct141533414454
936750166343
1013110221100
115618418179
12265a705610
13130c1838a2
148c525b524
1551ae74e50
hex30d6e192c

13110221100 has 144 divisors (see below), whose sum is σ = 39339093248. Its totient is φ = 3368252160.

The previous prime is 13110221051. The next prime is 13110221147. The reversal of 13110221100 is 112201131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1137567 + ... + 1149033.

Almost surely, 213110221100 is an apocalyptic number.

13110221100 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 13110221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19669546624).

13110221100 is an abundant number, since it is smaller than the sum of its proper divisors (26228872148).

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

13110221100 is a wasteful number, since it uses less digits than its factorization.

13110221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11624 (or 11617 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 13110221100 its reverse (112201131), we get a palindrome (13222422231).

The spelling of 13110221100 in words is "thirteen billion, one hundred ten million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 103 111 148 150 185 206 222 300 309 370 412 444 515 555 618 740 925 1030 1110 1236 1545 1850 2060 2220 2575 2775 3090 3700 3811 5150 5550 6180 7622 7725 10300 11100 11433 11467 15244 15450 19055 22866 22934 30900 34401 38110 45732 45868 57165 57335 68802 76220 95275 114330 114670 137604 172005 190550 228660 229340 285825 286675 344010 381100 424279 571650 573350 688020 848558 860025 1143300 1146700 1181101 1272837 1697116 1720050 2121395 2362202 2545674 3440100 3543303 4242790 4724404 5091348 5905505 6364185 7086606 8485580 10606975 11811010 12728370 14173212 17716515 21213950 23622020 25456740 29527525 31820925 35433030 42427900 43700737 59055050 63641850 70866060 87401474 88582575 118110100 127283700 131102211 174802948 177165150 218503685 262204422 354330300 437007370 524408844 655511055 874014740 1092518425 1311022110 2185036850 2622044220 3277555275 4370073700 6555110550 13110221100