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11101210020 = 223254110311459
BaseRepresentation
bin10100101011010111…
…10000010110100100
31001122122212220021200
422111223300112210
5140213402210040
65033321242500
7542045504535
oct122553602644
931578786250
1011101210020
11478738643a
122199933430
13107bba2b34
147744d868c
1544e8d2630
hex295af05a4

11101210020 has 144 divisors (see below), whose sum is σ = 34552103040. Its totient is φ = 2883340800.

The previous prime is 11101209929. The next prime is 11101210027. The reversal of 11101210020 is 2001210111.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 11101209984 and 11101210011.

It is not an unprimeable number, because it can be changed into a prime (11101210027) 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, 7608051 + ... + 7609509.

It is an arithmetic number, because the mean of its divisors is an integer number (239945160).

Almost surely, 211101210020 is an apocalyptic number.

11101210020 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 11101210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17276051520).

11101210020 is an abundant number, since it is smaller than the sum of its proper divisors (23450893020).

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

11101210020 is a wasteful number, since it uses less digits than its factorization.

11101210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11101210020 its reverse (2001210111), we get a palindrome (13102420131).

Subtracting from 11101210020 its reverse (2001210111), we obtain a palindrome (9099999909).

The spelling of 11101210020 in words is "eleven billion, one hundred one million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1031 1230 1459 1476 1845 2062 2460 2918 3093 3690 4124 4377 5155 5836 6186 7295 7380 8754 9279 10310 12372 13131 14590 15465 17508 18558 20620 21885 26262 29180 30930 37116 42271 43770 46395 52524 59819 61860 65655 84542 87540 92790 119638 126813 131310 169084 179457 185580 211355 239276 253626 262620 299095 358914 380439 422710 507252 538371 598190 634065 717828 760878 845420 897285 1076742 1196380 1268130 1504229 1521756 1794570 1902195 2153484 2536260 2691855 3008458 3589140 3804390 4512687 5383710 6016916 7521145 7608780 9025374 10767420 13538061 15042290 18050748 22563435 27076122 30084580 45126870 54152244 61673389 67690305 90253740 123346778 135380610 185020167 246693556 270761220 308366945 370040334 555060501 616733890 740080668 925100835 1110121002 1233467780 1850201670 2220242004 2775302505 3700403340 5550605010 11101210020