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11242147005 = 3351722921391
BaseRepresentation
bin10100111100001010…
…11000110010111101
31002000111002020111000
422132011120302331
5141010442201010
65055314120513
7545406446535
oct123605306275
932014066430
1011242147005
114849998491
122218b80139
1310a214a7bb
147891044c5
1545be717c0
hex29e158cbd

11242147005 has 64 divisors (see below), whose sum is σ = 21255091200. Its totient is φ = 5618211840.

The previous prime is 11242146991. The next prime is 11242147009. The reversal of 11242147005 is 50074124211.

It is not a de Polignac number, because 11242147005 - 211 = 11242144957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11242147005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11242147009) 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, 514860 + ... + 536250.

It is an arithmetic number, because the mean of its divisors is an integer number (332110800).

Almost surely, 211242147005 is an apocalyptic number.

11242147005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11242147005 is a deficient number, since it is larger than the sum of its proper divisors (10012944195).

11242147005 is a wasteful number, since it uses less digits than its factorization.

11242147005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21651 (or 21645 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 11242147005 in words is "eleven billion, two hundred forty-two million, one hundred forty-seven thousand, five".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 153 229 255 459 687 765 1145 2061 2295 3435 3893 6183 10305 11679 19465 21391 30915 35037 58395 64173 105111 106955 175185 192519 320865 363647 525555 577557 962595 1090941 1818235 2887785 3272823 4898539 5454705 9818469 14695617 16364115 24492695 44086851 49092345 73478085 83275163 132260553 220434255 249825489 416375815 661302765 749476467 1249127445 2248429401 3747382335 11242147005