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1137134001330 = 232523935279909
BaseRepresentation
bin10000100011000010011…
…101111101110010110010
311000201010211020111011100
4100203002131331302302
5122112322301020310
62230220412025230
7145104145350045
oct20430235756262
94021124214140
101137134001330
113a928a553898
12164473a62216
1383301163122
143d075190c5c
151e8a5a62ec0
hex108c277dcb2

1137134001330 has 48 divisors (see below), whose sum is σ = 2957784462360. Its totient is φ = 303108958464.

The previous prime is 1137134001317. The next prime is 1137134001331. The reversal of 1137134001330 is 331004317311.

1137134001330 is a `hidden beast` number, since 113 + 7 + 13 + 400 + 133 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 368753777001 + 768380224329 = 607251^2 + 876573^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1137134001294 and 1137134001303.

It is not an unprimeable number, because it can be changed into a prime (1137134001331) 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, 2424585 + ... + 2855324.

Almost surely, 21137134001330 is an apocalyptic number.

1137134001330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1137134001330 is an abundant number, since it is smaller than the sum of its proper divisors (1820650461030).

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

1137134001330 is a wasteful number, since it uses less digits than its factorization.

1137134001330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5282315 (or 5282312 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

Adding to 1137134001330 its reverse (331004317311), we get a palindrome (1468138318641).

The spelling of 1137134001330 in words is "one trillion, one hundred thirty-seven billion, one hundred thirty-four million, one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2393 4786 7179 11965 14358 21537 23930 35895 43074 71790 107685 215370 5279909 10559818 15839727 26399545 31679454 47519181 52799090 79198635 95038362 158397270 237595905 475191810 12634822237 25269644474 37904466711 63174111185 75808933422 113713400133 126348222370 189522333555 227426800266 379044667110 568567000665 1137134001330