Search a number
-
+
211212010101200 = 24523698931427521
BaseRepresentation
bin110000000001100010100000…
…110101011001100111010000
31000200211200010010200202222012
4300001202200311121213100
5210140444144041214300
62025113242525202052
762326364335602353
oct6001424065314720
91020750103622865
10211212010101200
1161331568464229
121b832376a00328
1390b128cc92554
143a22a0436829a
151964198286435
hexc018a0d599d0

211212010101200 has 60 divisors (see below), whose sum is σ = 507438581583948. Its totient is φ = 84484516454400.

The previous prime is 211212010101173. The next prime is 211212010101217. The reversal of 211212010101200 is 2101010212112.

It can be written as a sum of positive squares in 6 ways, for example, as 4057130549824 + 207154879551376 = 2014232^2 + 14392876^2 .

It is a super-2 number, since 2×2112120101012002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147243440 + ... + 148670960.

Almost surely, 2211212010101200 is an apocalyptic number.

211212010101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212010101200 is an abundant number, since it is smaller than the sum of its proper divisors (296226571482748).

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

211212010101200 is a wasteful number, since it uses less digits than its factorization.

211212010101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797432 (or 1797421 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211212010101200 its reverse (2101010212112), we get a palindrome (213313020313312).

The spelling of 211212010101200 in words is "two hundred eleven trillion, two hundred twelve billion, ten million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 369893 739786 1427521 1479572 1849465 2855042 2959144 3698930 5710084 5918288 7137605 7397860 9247325 11420168 14275210 14795720 18494650 22840336 28550420 29591440 35688025 36989300 57100840 71376050 73978600 114201680 142752100 147957200 285504200 571008400 528030025253 1056060050506 2112120101012 2640150126265 4224240202024 5280300252530 8448480404048 10560600505060 13200750631325 21121201010120 26401501262650 42242402020240 52803002525300 105606005050600 211212010101200