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1131003144 = 2332127712301
BaseRepresentation
bin100001101101001…
…1011110100001000
32220211011220122100
41003122123310020
54304014100034
6304121153400
740012240155
oct10332336410
92824156570
101131003144
11530470447
1227692b860
1315041743b
14aa2cd22c
156945c099
hex4369bd08

1131003144 has 48 divisors (see below), whose sum is σ = 3065781420. Its totient is φ = 376675200.

The previous prime is 1131003067. The next prime is 1131003179. The reversal of 1131003144 is 4413001311.

It can be written as a sum of positive squares in 2 ways, for example, as 1130976900 + 26244 = 33630^2 + 162^2 .

It is a super-2 number, since 2×11310031442 = 2558336223475769472, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 85794 + ... + 98094.

Almost surely, 21131003144 is an apocalyptic number.

It is an amenable number.

1131003144 is an abundant number, since it is smaller than the sum of its proper divisors (1934778276).

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

1131003144 is a wasteful number, since it uses less digits than its factorization.

1131003144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13590 (or 13583 counting only the distinct ones).

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

The square root of 1131003144 is about 33630.3901850692. The cubic root of 1131003144 is about 1041.8885630094. Note that the first 3 decimals are identical.

Adding to 1131003144 its reverse (4413001311), we get a palindrome (5544004455).

The spelling of 1131003144 in words is "one billion, one hundred thirty-one million, three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1277 2554 3831 5108 7662 10216 11493 12301 15324 22986 24602 30648 36903 45972 49204 73806 91944 98408 110709 147612 221418 295224 442836 885672 15708377 31416754 47125131 62833508 94250262 125667016 141375393 188500524 282750786 377001048 565501572 1131003144