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11220627561 = 31113434871249
BaseRepresentation
bin10100111001100110…
…10011000001101001
31001221222120221100120
422130303103001221
5140434440040221
65053224553453
7545025521613
oct123463230151
931858527316
1011220627561
11483882a620
122211922889
13109a8548c0
14786301db3
1545a1205c6
hex29ccd3069

11220627561 has 64 divisors (see below), whose sum is σ = 18036480000. Its totient is φ = 6113802240.

The previous prime is 11220627559. The next prime is 11220627577. The reversal of 11220627561 is 16572602211.

It is not a de Polignac number, because 11220627561 - 21 = 11220627559 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (11220627361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8983065 + ... + 8984313.

It is an arithmetic number, because the mean of its divisors is an integer number (281820000).

Almost surely, 211220627561 is an apocalyptic number.

11220627561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11220627561 is a deficient number, since it is larger than the sum of its proper divisors (6815852439).

11220627561 is a wasteful number, since it uses less digits than its factorization.

11220627561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806.

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 11220627561 in words is "eleven billion, two hundred twenty million, six hundred twenty-seven thousand, five hundred sixty-one".

Divisors: 1 3 11 13 33 39 43 129 143 429 473 487 559 1249 1419 1461 1677 3747 5357 6149 6331 13739 16071 16237 18447 18993 20941 41217 48711 53707 62823 69641 161121 178607 208923 230351 272233 535821 590777 608263 691053 698191 816699 1772331 1824789 2094573 2994563 6690893 7680101 7907419 8983689 20072679 23040303 23722257 26155309 78465927 86981609 260944827 287708399 340019017 863125197 1020057051 3740209187 11220627561