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213002001212 = 227111353479949
BaseRepresentation
bin1100011001011111101…
…0001001101100111100
3202100210110211210002212
43012113322021230330
511442212003014322
6241503552035552
721250250065040
oct3062772115474
9670713753085
10213002001212
1182374093150
1235345b32bb8
1317116c41a10
14a448c0c020
155819b6e0e2
hex3197e89b3c

213002001212 has 96 divisors (see below), whose sum is σ = 500624140800. Its totient is φ = 76582091520.

The previous prime is 213002001203. The next prime is 213002001229. The reversal of 213002001212 is 212100200312.

It is a happy number.

213002001212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2130020012123 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21404414 + ... + 21414362.

It is an arithmetic number, because the mean of its divisors is an integer number (5214834800).

Almost surely, 2213002001212 is an apocalyptic number.

213002001212 is a gapful number since it is divisible by the number (22) 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 213002001212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250312070400).

213002001212 is an abundant number, since it is smaller than the sum of its proper divisors (287622139588).

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

213002001212 is a wasteful number, since it uses less digits than its factorization.

213002001212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15331 (or 15329 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 213002001212 its reverse (212100200312), we get a palindrome (425102201524).

Subtracting from 213002001212 its reverse (212100200312), we obtain a square (901800900 = 300302).

The spelling of 213002001212 in words is "two hundred thirteen billion, two million, one thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 5347 9949 10694 19898 21388 37429 39796 58817 69511 69643 74858 109439 117634 129337 139022 139286 149716 218878 235268 258674 278044 278572 411719 437756 486577 517348 764621 766073 823438 905359 973154 1422707 1529242 1532146 1646876 1810718 1946308 2845414 3058484 3064292 3621436 5352347 5690828 9958949 10704694 19917898 21409388 39835796 53197303 106394606 212789212 372381121 585170333 691564939 744762242 1170340666 1383129878 1489524484 2340681332 2766259756 4096192331 4840954573 7607214329 8192384662 9681909146 15214428658 16384769324 19363818292 30428857316 53250500303 106501000606 213002001212