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2021112012200 = 235259439390161
BaseRepresentation
bin11101011010010011101…
…010011101110110101000
321011012211202211012011212
4131122103222131312220
5231103214133342300
64144252552412252
7266010016435031
oct35322352356650
97135752735155
102021112012200
1170a17004a056
122878563a7088
13118789437398
146db7271da88
15378916a3935
hex1d693a9dda8

2021112012200 has 96 divisors (see below), whose sum is σ = 4789628712000. Its totient is φ = 792929971200.

The previous prime is 2021112012103. The next prime is 2021112012209. The reversal of 2021112012200 is 22102111202.

It is not an unprimeable number, because it can be changed into a prime (2021112012209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4985120 + ... + 5375280.

It is an arithmetic number, because the mean of its divisors is an integer number (49891965750).

Almost surely, 22021112012200 is an apocalyptic number.

2021112012200 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 2021112012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394814356000).

2021112012200 is an abundant number, since it is smaller than the sum of its proper divisors (2768516699800).

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

2021112012200 is a wasteful number, since it uses less digits than its factorization.

2021112012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390675 (or 390666 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2021112012200 its reverse (22102111202), we get a palindrome (2043214123402).

The spelling of 2021112012200 in words is "two trillion, twenty-one billion, one hundred twelve million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 200 236 295 439 472 590 878 1180 1475 1756 2195 2360 2950 3512 4390 5900 8780 10975 11800 17560 21950 25901 43900 51802 87800 103604 129505 207208 259010 390161 518020 647525 780322 1036040 1295050 1560644 1950805 2590100 3121288 3901610 5180200 7803220 9754025 15606440 19508050 23019499 39016100 46038998 78032200 92077996 115097495 171280679 184155992 230194990 342561358 460389980 575487475 685122716 856403395 920779960 1150974950 1370245432 1712806790 2301949900 3425613580 4282016975 4603899800 6851227160 8564033950 10105560061 17128067900 20211120122 34256135800 40422240244 50527800305 80844480488 101055600610 202111201220 252639001525 404222402440 505278003050 1010556006100 2021112012200