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211011313320 = 23325586142537
BaseRepresentation
bin1100010010000101000…
…0010001111010101000
3202011122202000100200200
43010201100101322220
511424122344011240
6240534240432200
721150025366203
oct3044120217250
9664582010620
10211011313320
1181542426945
1234a8b318660
1316b8a6a80a2
14a2da69893a
15574eeea930
hex3121411ea8

211011313320 has 48 divisors (see below), whose sum is σ = 685786769460. Its totient is φ = 56269683456.

The previous prime is 211011313319. The next prime is 211011313327. The reversal of 211011313320 is 23313110112.

211011313320 is a `hidden beast` number, since 21 + 1 + 0 + 11 + 313 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 206346696516 + 4664616804 = 454254^2 + 68298^2 .

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 = 211011313293 and 211011313302.

It is not an unprimeable number, because it can be changed into a prime (211011313327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 293070909 + ... + 293071628.

Almost surely, 2211011313320 is an apocalyptic number.

211011313320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211011313320 is an abundant number, since it is smaller than the sum of its proper divisors (474775456140).

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

211011313320 is a wasteful number, since it uses less digits than its factorization.

211011313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586142554 (or 586142547 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 211011313320 its reverse (23313110112), we get a palindrome (234324423432).

The spelling of 211011313320 in words is "two hundred eleven billion, eleven million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 586142537 1172285074 1758427611 2344570148 2930712685 3516855222 4689140296 5275282833 5861425370 7033710444 8792138055 10550565666 11722850740 14067420888 17584276110 21101131332 23445701480 26376414165 35168552220 42202262664 52752828330 70337104440 105505656660 211011313320