Search a number
-
+
1150531100 = 225217732127
BaseRepresentation
bin100010010010011…
…1011011000011100
32222011221000221222
41010210323120130
54324013443400
6310055512512
740340232035
oct10444733034
92864830858
101150531100
11540499054
12281388738
13154493a44
14acb33a8c
156b018185
hex4493b61c

1150531100 has 108 divisors (see below), whose sum is σ = 2701327104. Its totient is φ = 423843840.

The previous prime is 1150531051. The next prime is 1150531121. The reversal of 1150531100 is 11350511.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9059237 + ... + 9059363.

It is an arithmetic number, because the mean of its divisors is an integer number (25012288).

Almost surely, 21150531100 is an apocalyptic number.

1150531100 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 1150531100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350663552).

1150531100 is an abundant number, since it is smaller than the sum of its proper divisors (1550796004).

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

1150531100 is a wasteful number, since it uses less digits than its factorization.

1150531100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 17.

The square root of 1150531100 is about 33919.4796540277. The cubic root of 1150531100 is about 1047.8508118053.

Adding to 1150531100 its reverse (11350511), we get a palindrome (1161881611).

The spelling of 1150531100 in words is "one billion, one hundred fifty million, five hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 73 85 100 127 146 170 254 292 340 365 425 508 635 730 850 1241 1270 1460 1700 1825 2159 2482 2540 3175 3650 4318 4964 5329 6205 6350 7300 8636 9271 10658 10795 12410 12700 18542 21316 21590 24820 26645 31025 37084 43180 46355 53290 53975 62050 90593 92710 106580 107950 124100 133225 157607 181186 185420 215900 231775 266450 315214 362372 452965 463550 532900 630428 676783 788035 905930 927100 1353566 1576070 1811860 2264825 2707132 3152140 3383915 3940175 4529650 6767830 7880350 9059300 11505311 13535660 15760700 16919575 23010622 33839150 46021244 57526555 67678300 115053110 230106220 287632775 575265550 1150531100