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213002120322 = 23232909359581
BaseRepresentation
bin1100011001011111101…
…0100110110010000010
3202100210111001211111100
43012113322212302002
511442212020322242
6241503554355230
721250251102225
oct3062772466202
9670714054440
10213002120322
1182374164692
1235345b8bb16
1317116c83cb4
14a448c3d5bc
155819b9454c
hex3197ea6c82

213002120322 has 24 divisors (see below), whose sum is σ = 461519901180. Its totient is φ = 70998351840.

The previous prime is 213002120291. The next prime is 213002120341. The reversal of 213002120322 is 223021200312.

213002120322 is a `hidden beast` number, since 2 + 1 + 300 + 21 + 20 + 322 = 666.

213002120322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 212096170521 + 905949801 = 460539^2 + 30099^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 213002120295 and 213002120304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 412572 + ... + 772152.

Almost surely, 2213002120322 is an apocalyptic number.

213002120322 is an abundant number, since it is smaller than the sum of its proper divisors (248517780858).

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

213002120322 is a wasteful number, since it uses less digits than its factorization.

213002120322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392498 (or 392495 counting only the distinct ones).

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

Adding to 213002120322 its reverse (223021200312), we get a palindrome (436023320634).

The spelling of 213002120322 in words is "two hundred thirteen billion, two million, one hundred twenty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 32909 65818 98727 197454 296181 359581 592362 719162 1078743 2157486 3236229 6472458 11833451129 23666902258 35500353387 71000706774 106501060161 213002120322