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212122022122100 = 22528572475169453
BaseRepresentation
bin110000001110110010000001…
…110001110001001001110100
31000211001200000102212012220102
4300032302001301301021310
5210300401400130401400
62031051302305053232
762452211311262246
oct6016620161611164
91024050012765812
10212122022122100
1161652498529562
121b95a804027218
139149036a8747c
143a54a91322096
15197cba97479d5
hexc0ec81c71274

212122022122100 has 36 divisors (see below), whose sum is σ = 460841899962444. Its totient is φ = 84749802036480.

The previous prime is 212122022122099. The next prime is 212122022122121. The reversal of 212122022122100 is 1221220221212.

It can be written as a sum of positive squares in 6 ways, for example, as 10063131995536 + 202058890126564 = 3172244^2 + 14214742^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1237499027 + ... + 1237670426.

Almost surely, 2212122022122100 is an apocalyptic number.

212122022122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122022122100 is an abundant number, since it is smaller than the sum of its proper divisors (248719877840344).

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

212122022122100 is a wasteful number, since it uses less digits than its factorization.

212122022122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475170324 (or 2475170317 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 212122022122100 its reverse (1221220221212), we get a palindrome (213343242343312).

The spelling of 212122022122100 in words is "two hundred twelve trillion, one hundred twenty-two billion, twenty-two million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 857 1714 3428 4285 8570 17140 21425 42850 85700 2475169453 4950338906 9900677812 12375847265 24751694530 49503389060 61879236325 123758472650 247516945300 2121220221221 4242440442442 8484880884884 10606101106105 21212202212210 42424404424420 53030505530525 106061011061050 212122022122100