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212022003231000 = 2332531713710115071
BaseRepresentation
bin110000001101010100111000…
…001011111110100100011000
31000210201002211221200002221100
4300031110320023332210120
5210242232030311343000
62030533321425111400
762442040614603534
oct6015247013764430
91023632757602840
10212022003231000
1161614032470286
121b94334ba88560
13913c787392281
143a4dcc3984bc4
15197a2a3a2aa00
hexc0d5382fe918

212022003231000 has 384 divisors, whose sum is σ = 764328017756160. Its totient is φ = 52824941568000.

The previous prime is 212022003230977. The next prime is 212022003231053. The reversal of 212022003231000 is 132300220212.

212022003231000 is a `hidden beast` number, since 2 + 1 + 20 + 220 + 0 + 323 + 100 + 0 = 666.

It is a super-2 number, since 2×2120220032310002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15903465 + ... + 26018535.

It is an arithmetic number, because the mean of its divisors is an integer number (1990437546240).

Almost surely, 2212022003231000 is an apocalyptic number.

212022003231000 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 212022003231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382164008878080).

212022003231000 is an abundant number, since it is smaller than the sum of its proper divisors (552306014525160).

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

212022003231000 is a wasteful number, since it uses less digits than its factorization.

212022003231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10115252 (or 10115235 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212022003231000 its reverse (132300220212), we get a palindrome (212154303451212).

The spelling of 212022003231000 in words is "two hundred twelve trillion, twenty-two billion, three million, two hundred thirty-one thousand".