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211103313320 = 23517310446049
BaseRepresentation
bin1100010010011010111…
…1001110110110101000
3202011220011010102222002
43010212233032312220
511424314422011240
6240551324350132
721152223361604
oct3044657166650
9664804112862
10211103313320
118158a3538a9
1234ab60a5348
1316ba377a463
14a3089a6504
15575811ed15
hex3126bceda8

211103313320 has 32 divisors (see below), whose sum is σ = 502922601000. Its totient is φ = 79474188288.

The previous prime is 211103313271. The next prime is 211103313359. The reversal of 211103313320 is 23313301112.

It can be written as a sum of positive squares in 4 ways, for example, as 166583157316 + 44520156004 = 408146^2 + 210998^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 211103313292 and 211103313301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155222345 + ... + 155223704.

Almost surely, 2211103313320 is an apocalyptic number.

211103313320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211103313320 is an abundant number, since it is smaller than the sum of its proper divisors (291819287680).

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

211103313320 is a wasteful number, since it uses less digits than its factorization.

211103313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310446077 (or 310446073 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 211103313320 its reverse (23313301112), we get a palindrome (234416614432).

The spelling of 211103313320 in words is "two hundred eleven billion, one hundred three million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 310446049 620892098 1241784196 1552230245 2483568392 3104460490 5277582833 6208920980 10555165666 12417841960 21110331332 26387914165 42220662664 52775828330 105551656660 211103313320