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1137225357 = 328910114057
BaseRepresentation
bin100001111001000…
…1010111010001101
32221020220000220200
41003302022322031
54312112202412
6304502404113
740116153552
oct10362127215
92836800820
101137225357
11533a30274
12278a30639
131517b5618
14ab06ca29
1569c8a9dc
hex43c8ae8d

1137225357 has 24 divisors (see below), whose sum is σ = 1677681720. Its totient is φ = 742156800.

The previous prime is 1137225347. The next prime is 1137225367. The reversal of 1137225357 is 7535227311.

It is a happy number.

1137225357 is a `hidden beast` number, since 113 + 7 + 2 + 2 + 535 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (1137225347) and next prime (1137225367).

It can be written as a sum of positive squares in 4 ways, for example, as 52577001 + 1084648356 = 7251^2 + 32934^2 .

It is not a de Polignac number, because 1137225357 - 220 = 1136176781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1137225307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73873 + ... + 87929.

It is an arithmetic number, because the mean of its divisors is an integer number (69903405).

Almost surely, 21137225357 is an apocalyptic number.

It is an amenable number.

1137225357 is a deficient number, since it is larger than the sum of its proper divisors (540456363).

1137225357 is a wasteful number, since it uses less digits than its factorization.

1137225357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14253 (or 14250 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 1137225357 is about 33722.7720835639. The cubic root of 1137225357 is about 1043.7957195984.

The spelling of 1137225357 in words is "one billion, one hundred thirty-seven million, two hundred twenty-five thousand, three hundred fifty-seven".

Divisors: 1 3 9 89 101 267 303 801 909 8989 14057 26967 42171 80901 126513 1251073 1419757 3753219 4259271 11259657 12777813 126358373 379075119 1137225357