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1131140232 = 23321031271201
BaseRepresentation
bin100001101101011…
…1101010010001000
32220211102212200200
41003122331102020
54304032441412
6304124132200
740013350635
oct10332752210
92824385620
101131140232
11530554442
12276997060
13150464961
14aa32718c
15694879dc
hex436bd488

1131140232 has 96 divisors (see below), whose sum is σ = 3120199680. Its totient is φ = 370137600.

The previous prime is 1131140221. The next prime is 1131140261. The reversal of 1131140232 is 2320411311.

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

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, 941232 + ... + 942432.

It is an arithmetic number, because the mean of its divisors is an integer number (32502080).

Almost surely, 21131140232 is an apocalyptic number.

1131140232 is a gapful number since it is divisible by the number (12) 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 1131140232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560099840).

1131140232 is an abundant number, since it is smaller than the sum of its proper divisors (1989059448).

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

1131140232 is a wasteful number, since it uses less digits than its factorization.

1131140232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1131140232 is about 33632.4282798611. The cubic root of 1131140232 is about 1041.9306568060.

Adding to 1131140232 its reverse (2320411311), we get a palindrome (3451551543).

The spelling of 1131140232 in words is "one billion, one hundred thirty-one million, one hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 127 206 254 309 381 412 508 618 762 824 927 1016 1143 1201 1236 1524 1854 2286 2402 2472 3048 3603 3708 4572 4804 7206 7416 9144 9608 10809 13081 14412 21618 26162 28824 39243 43236 52324 78486 86472 104648 117729 123703 152527 156972 235458 247406 305054 313944 371109 457581 470916 494812 610108 742218 915162 941832 989624 1113327 1220216 1372743 1484436 1830324 2226654 2745486 2968872 3660648 4453308 5490972 8906616 10981944 15710281 31420562 47130843 62841124 94261686 125682248 141392529 188523372 282785058 377046744 565570116 1131140232