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11241000225 = 3252713549011
BaseRepresentation
bin10100111100000010…
…00000110100100001
31002000101220222101200
422132001000310201
5141010144001400
65055233351413
7545363632260
oct123601006441
932011828350
1011241000225
114849284934
122218708569
1310a1b38830
14788cc65d7
1545bce6b00
hex29e040d21

11241000225 has 72 divisors (see below), whose sum is σ = 24780205632. Its totient is φ = 4743446400.

The previous prime is 11241000209. The next prime is 11241000233. The reversal of 11241000225 is 52200014211.

It is not a de Polignac number, because 11241000225 - 24 = 11241000209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11241000198 and 11241000207.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 254031 + ... + 294980.

Almost surely, 211241000225 is an apocalyptic number.

11241000225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11241000225 is an abundant number, since it is smaller than the sum of its proper divisors (13539205407).

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

11241000225 is a wasteful number, since it uses less digits than its factorization.

11241000225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549047 (or 549039 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 11241000225 its reverse (52200014211), we get a palindrome (63441014436).

The spelling of 11241000225 in words is "eleven billion, two hundred forty-one million, two hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 7 9 13 15 21 25 35 39 45 63 65 75 91 105 117 175 195 225 273 315 325 455 525 585 819 975 1365 1575 2275 2925 4095 6825 20475 549011 1647033 2745055 3843077 4941099 7137143 8235165 11529231 13725275 19215385 21411429 24705495 34587693 35685715 41175825 49960001 57646155 64234287 96076925 107057145 123527475 149880003 172938465 178428575 249800005 288230775 321171435 449640009 535285725 749400015 864692325 1249000025 1605857175 2248200045 3747000075 11241000225