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1134145100 = 22521138521
BaseRepresentation
bin100001110011001…
…1010111001001100
32221001002112121002
41003212122321030
54310320120400
6304312355432
740051034324
oct10346327114
92831075532
101134145100
11532217000
122779a5b78
13150c7759a
14aa8aa284
156987ced5
hex4399ae4c

1134145100 has 72 divisors (see below), whose sum is σ = 2707337136. Its totient is φ = 412368000.

The previous prime is 1134145091. The next prime is 1134145163. The reversal of 1134145100 is 15414311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128840 + ... + 137360.

Almost surely, 21134145100 is an apocalyptic number.

1134145100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134145100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353668568).

1134145100 is an abundant number, since it is smaller than the sum of its proper divisors (1573192036).

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

1134145100 is a wasteful number, since it uses less digits than its factorization.

1134145100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8568 (or 8539 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1134145100 is about 33677.0708346198. The cubic root of 1134145100 is about 1042.8524687707.

Adding to 1134145100 its reverse (15414311), we get a palindrome (1149559411).

The spelling of 1134145100 in words is "one billion, one hundred thirty-four million, one hundred forty-five thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 1331 2420 2662 3025 5324 6050 6655 8521 12100 13310 17042 26620 33275 34084 42605 66550 85210 93731 133100 170420 187462 213025 374924 426050 468655 852100 937310 1031041 1874620 2062082 2343275 4124164 4686550 5155205 9373100 10310410 11341451 20620820 22682902 25776025 45365804 51552050 56707255 103104100 113414510 226829020 283536275 567072550 1134145100