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212121201010200 = 23352794475130823
BaseRepresentation
bin110000001110110001010000…
…110101011110011000011000
31000211001120220012210102010120
4300032301100311132120120
5210300343204424311300
62031051045013513240
762452152051036066
oct6016612065363030
91024046805712116
10212121201010200
1161652106a88a89
121b95a615042820
139148c35922041
143a54a1425d036
15197cb5c6003a0
hexc0ec50d5e618

212121201010200 has 96 divisors (see below), whose sum is σ = 665899466611200. Its totient is φ = 55849632658560.

The previous prime is 212121201010171. The next prime is 212121201010207. The reversal of 212121201010200 is 2010102121212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212121201010200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212121201010207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2237518012 + ... + 2237612811.

It is an arithmetic number, because the mean of its divisors is an integer number (6936452777200).

Almost surely, 2212121201010200 is an apocalyptic number.

212121201010200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212121201010200 is an abundant number, since it is smaller than the sum of its proper divisors (453778265601000).

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

212121201010200 is a wasteful number, since it uses less digits than its factorization.

212121201010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4475130921 (or 4475130912 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212121201010200 its reverse (2010102121212), we get a palindrome (214131303131412).

The spelling of 212121201010200 in words is "two hundred twelve trillion, one hundred twenty-one billion, two hundred one million, ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 79 100 120 150 158 200 237 300 316 395 474 600 632 790 948 1185 1580 1896 1975 2370 3160 3950 4740 5925 7900 9480 11850 15800 23700 47400 4475130823 8950261646 13425392469 17900523292 22375654115 26850784938 35801046584 44751308230 53701569876 67126962345 89502616460 107403139752 111878270575 134253924690 179005232920 223756541150 268507849380 335634811725 353535335017 447513082300 537015698760 671269623450 707070670034 895026164600 1060606005051 1342539246900 1414141340068 1767676675085 2121212010102 2685078493800 2828282680136 3535353350170 4242424020204 5303030025255 7070706700340 8484848040408 8838383375425 10606060050510 14141413400680 17676766750850 21212120101020 26515150126275 35353533501700 42424240202040 53030300252550 70707067003400 106060600505100 212121201010200