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1135131030 = 2335113112329
BaseRepresentation
bin100001110101000…
…1011100110010110
32221002221122001000
41003222023212112
54311043143110
6304345444130
740062311625
oct10352134626
92832848030
101135131030
1153282a820
122781a0646
13151231287
14aaa856bc
15699c51c0
hex43a8b996

1135131030 has 128 divisors (see below), whose sum is σ = 3408998400. Its totient is φ = 266284800.

The previous prime is 1135131001. The next prime is 1135131047. The reversal of 1135131030 is 301315311.

1135131030 is a `hidden beast` number, since 1 + 1 + 351 + 310 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1135130994 and 1135131012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85906 + ... + 98234.

It is an arithmetic number, because the mean of its divisors is an integer number (26632800).

Almost surely, 21135131030 is an apocalyptic number.

1135131030 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 1135131030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704499200).

1135131030 is an abundant number, since it is smaller than the sum of its proper divisors (2273867370).

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

1135131030 is a wasteful number, since it uses less digits than its factorization.

1135131030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12387 (or 12381 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 1135131030 is about 33691.7056558435. The cubic root of 1135131030 is about 1043.1545705449.

Adding to 1135131030 its reverse (301315311), we get a palindrome (1436446341).

The spelling of 1135131030 in words is "one billion, one hundred thirty-five million, one hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 31 33 45 54 55 62 66 90 93 99 110 135 155 165 186 198 270 279 297 310 330 341 465 495 558 594 682 837 930 990 1023 1395 1485 1674 1705 2046 2790 2970 3069 3410 4185 5115 6138 8370 9207 10230 12329 15345 18414 24658 30690 36987 46035 61645 73974 92070 110961 123290 135619 184935 221922 271238 332883 369870 382199 406857 554805 665766 678095 764398 813714 1109610 1146597 1220571 1356190 1664415 1910995 2034285 2293194 2441142 3328830 3439791 3661713 3821990 4068570 4204189 5732985 6102855 6879582 7323426 8408378 10319373 11465970 12205710 12612567 17198955 18308565 20638746 21020945 25225134 34397910 36617130 37837701 42041890 51596865 63062835 75675402 103193730 113513103 126125670 189188505 227026206 378377010 567565515 1135131030