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1131113040 = 243510345757
BaseRepresentation
bin100001101101011…
…0110101001010000
32220211101111101120
41003122312221100
54304031104130
6304123402240
740013205441
oct10332665120
92824344346
101131113040
11530535a72
12276983380
13150455475
14aa31b2c8
156947e910
hex436b6a50

1131113040 has 80 divisors (see below), whose sum is σ = 3540571008. Its totient is φ = 298695168.

The previous prime is 1131113033. The next prime is 1131113059. The reversal of 1131113040 is 403111311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1842 + ... + 47598.

Almost surely, 21131113040 is an apocalyptic number.

1131113040 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 1131113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770285504).

1131113040 is an abundant number, since it is smaller than the sum of its proper divisors (2409457968).

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

1131113040 is a wasteful number, since it uses less digits than its factorization.

1131113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45876 (or 45870 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1131113040 is about 33632.0240247298. The cubic root of 1131113040 is about 1041.9223075891.

Adding to 1131113040 its reverse (403111311), we get a palindrome (1534224351).

The spelling of 1131113040 in words is "one billion, one hundred thirty-one million, one hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 412 515 618 824 1030 1236 1545 1648 2060 2472 3090 4120 4944 6180 8240 12360 24720 45757 91514 137271 183028 228785 274542 366056 457570 549084 686355 732112 915140 1098168 1372710 1830280 2196336 2745420 3660560 4712971 5490840 9425942 10981680 14138913 18851884 23564855 28277826 37703768 47129710 56555652 70694565 75407536 94259420 113111304 141389130 188518840 226222608 282778260 377037680 565556520 1131113040