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212022312103032 = 2332341103461197297
BaseRepresentation
bin110000001101010101001010…
…100110001110110001111000
31000210201010122110212102201020
4300031111022212032301320
5210242233143344244112
62030533412221222440
762442051355144224
oct6015251246166170
91023633573772636
10212022312103032
1161614180854422
121b943417401a20
13913c8063783a2
143a4dd129c7784
15197a2c0bdd48c
hexc0d54a98ec78

212022312103032 has 256 divisors, whose sum is σ = 573336749905920. Its totient is φ = 65170183372800.

The previous prime is 212022312102989. The next prime is 212022312103057. The reversal of 212022312103032 is 230301213220212.

It is a super-3 number, since 3×2120223121030323 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 212022312102993 and 212022312103011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1074536608 + ... + 1074733904.

It is an arithmetic number, because the mean of its divisors is an integer number (2239596679320).

Almost surely, 2212022312103032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212022312103032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286668374952960).

212022312103032 is an abundant number, since it is smaller than the sum of its proper divisors (361314437802888).

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

212022312103032 is a wasteful number, since it uses less digits than its factorization.

212022312103032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197934 (or 197930 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 212022312103032 its reverse (230301213220212), we get a palindrome (442323525323244).

The spelling of 212022312103032 in words is "two hundred twelve trillion, twenty-two billion, three hundred twelve million, one hundred three thousand, thirty-two".