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2111200020 = 2232537359883
BaseRepresentation
bin111110111010110…
…0101101100010100
312110010121001222100
41331311211230110
513310431400040
6545254202100
7103213622046
oct17565455424
95403531870
102111200020
11993798906
124ab053330
1327850c9a7
14160563a96
15c552ab30
hex7dd65b14

2111200020 has 144 divisors (see below), whose sum is σ = 6602843520. Its totient is φ = 545626368.

The previous prime is 2111200019. The next prime is 2111200027. The reversal of 2111200020 is 200021112.

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 = 2111199975 and 2111200011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111200027) 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, 2390499 + ... + 2391381.

It is an arithmetic number, because the mean of its divisors is an integer number (45853080).

Almost surely, 22111200020 is an apocalyptic number.

2111200020 is a gapful number since it is divisible by the number (20) 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 2111200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301421760).

2111200020 is an abundant number, since it is smaller than the sum of its proper divisors (4491643500).

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

2111200020 is a wasteful number, since it uses less digits than its factorization.

2111200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2111200020 is about 45947.7966827573. The cubic root of 2111200020 is about 1282.8517189075.

Adding to 2111200020 its reverse (200021112), we get a palindrome (2311221132).

The spelling of 2111200020 in words is "two billion, one hundred eleven million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 359 370 444 555 666 718 740 883 1077 1110 1332 1436 1665 1766 1795 2154 2220 2649 3231 3330 3532 3590 4308 4415 5298 5385 6462 6660 7180 7947 8830 10596 10770 12924 13245 13283 15894 16155 17660 21540 26490 26566 31788 32310 32671 39735 39849 52980 53132 64620 65342 66415 79470 79698 98013 119547 130684 132830 158940 159396 163355 196026 199245 239094 265660 294039 316997 326710 392052 398490 478188 490065 588078 597735 633994 653420 796980 950991 980130 1176156 1195470 1267988 1470195 1584985 1901982 1960260 2390940 2852973 2940390 3169970 3803964 4754955 5705946 5880780 6339940 9509910 11411892 11728889 14264865 19019820 23457778 28529730 35186667 46915556 57059460 58644445 70373334 105560001 117288890 140746668 175933335 211120002 234577780 351866670 422240004 527800005 703733340 1055600010 2111200020