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11125465000 = 235413171161
BaseRepresentation
bin10100101110010000…
…10001111110101000
31001201100112011212021
422113020101332220
5140241104340000
65035545154224
7542461615006
oct122710217650
931640464767
1011125465000
11479a042581
1221a5a8b974
131083c15bb0
1477780da76
15451ac411a
hex297211fa8

11125465000 has 80 divisors (see below), whose sum is σ = 28072279620. Its totient is φ = 4107840000.

The previous prime is 11125464997. The next prime is 11125465007. The reversal of 11125465000 is 56452111.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 5209086276 + 5916378724 = 72174^2 + 76918^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11125465007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20581 + ... + 150580.

Almost surely, 211125465000 is an apocalyptic number.

11125465000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11125465000 is an abundant number, since it is smaller than the sum of its proper divisors (16946814620).

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

11125465000 is a wasteful number, since it uses less digits than its factorization.

11125465000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171200 (or 171181 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 11125465000 in words is "eleven billion, one hundred twenty-five million, four hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 625 650 1000 1250 1300 1625 2500 2600 3250 5000 6500 8125 13000 16250 32500 65000 171161 342322 684644 855805 1369288 1711610 2225093 3423220 4279025 4450186 6846440 8558050 8900372 11125465 17116100 17800744 21395125 22250930 34232200 42790250 44501860 55627325 85580500 89003720 106975625 111254650 171161000 213951250 222509300 278136625 427902500 445018600 556273250 855805000 1112546500 1390683125 2225093000 2781366250 5562732500 11125465000