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1131210030 = 235194346153
BaseRepresentation
bin100001101101100…
…1110010100101110
32220211120102102210
41003123032110232
54304042210110
6304125431250
740014061266
oct10333162456
92824512383
101131210030
115305a1925
12276a0b526
1315048a662
14aa3447a6
156949d520
hex436ce52e

1131210030 has 64 divisors (see below), whose sum is σ = 2924317440. Its totient is φ = 279127296.

The previous prime is 1131210029. The next prime is 1131210037. The reversal of 1131210030 is 300121311.

1131210030 is digitally balanced in base 4 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11312100302 = 2559272263945201800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1131209988 and 1131210015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131210037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1434 + ... + 47586.

It is an arithmetic number, because the mean of its divisors is an integer number (45692460).

Almost surely, 21131210030 is an apocalyptic number.

1131210030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131210030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462158720).

1131210030 is an abundant number, since it is smaller than the sum of its proper divisors (1793107410).

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

1131210030 is a wasteful number, since it uses less digits than its factorization.

1131210030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46225.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1131210030 is about 33633.4659230951. The cubic root of 1131210030 is about 1041.9520874469.

Adding to 1131210030 its reverse (300121311), we get a palindrome (1431331341).

The spelling of 1131210030 in words is "one billion, one hundred thirty-one million, two hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 43 57 86 95 114 129 190 215 258 285 430 570 645 817 1290 1634 2451 4085 4902 8170 12255 24510 46153 92306 138459 230765 276918 461530 692295 876907 1384590 1753814 1984579 2630721 3969158 4384535 5261442 5953737 8769070 9922895 11907474 13153605 19845790 26307210 29768685 37707001 59537370 75414002 113121003 188535005 226242006 377070010 565605015 1131210030