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212220211020100 = 225215720431661603
BaseRepresentation
bin110000010000001101011110…
…010010101100000101000100
31000211102001110101121001021021
4300100031132102230011010
5210304003443010120400
62031204341414000524
762462255444164063
oct6020153622540504
91024361411531237
10212220211020100
11616900a4607948
121b975847346144
1391553842ba80a
143a59727a1a1da
15198050498471a
hexc1035e4ac144

212220211020100 has 72 divisors (see below), whose sum is σ = 463474476929408. Its totient is φ = 84343140086400.

The previous prime is 212220211020001. The next prime is 212220211020101. The reversal of 212220211020100 is 1020112022212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (212220211020101) 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, 320435899 + ... + 321097501.

Almost surely, 2212220211020100 is an apocalyptic number.

212220211020100 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 212220211020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231737238464704).

212220211020100 is an abundant number, since it is smaller than the sum of its proper divisors (251254265909308).

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

212220211020100 is a wasteful number, since it uses less digits than its factorization.

212220211020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682205 (or 682198 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212220211020100 its reverse (1020112022212), we get a palindrome (213240323042312).

The spelling of 212220211020100 in words is "two hundred twelve trillion, two hundred twenty billion, two hundred eleven million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 628 785 1570 3140 3925 7850 15700 20431 40862 81724 102155 204310 408620 510775 661603 1021550 1323206 2043100 2646412 3207667 3308015 6415334 6616030 12830668 13232060 16038335 16540075 32076670 33080150 64153340 66160300 80191675 103871671 160383350 207743342 320766700 415486684 519358355 1038716710 2077433420 2596791775 5193583550 10387167100 13517210893 27034421786 54068843572 67586054465 135172108930 270344217860 337930272325 675860544650 1351721089300 2122202110201 4244404220402 8488808440804 10611010551005 21222021102010 42444042204020 53055052755025 106110105510050 212220211020100