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1131045168 = 2431131431607
BaseRepresentation
bin100001101101010…
…0110000100110000
32220211021001021210
41003122212010300
54304021421133
6304122120120
740012503531
oct10332460460
92824231253
101131045168
11530499a80
12276950040
131504305c6
14aa300688
1569469763
hex436a6130

1131045168 has 160 divisors (see below), whose sum is σ = 3368927232. Its totient is φ = 323769600.

The previous prime is 1131045131. The next prime is 1131045187. The reversal of 1131045168 is 8615401311.

It is a super-2 number, since 2×11310451682 = 2558526344112296448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 703021 + ... + 704627.

Almost surely, 21131045168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131045168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684463616).

1131045168 is an abundant number, since it is smaller than the sum of its proper divisors (2237882064).

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

1131045168 is a wasteful number, since it uses less digits than its factorization.

1131045168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 1131045168 is about 33631.0149713029. The cubic root of 1131045168 is about 1041.9014671241.

Adding to 1131045168 its reverse (8615401311), we get a palindrome (9746446479).

The spelling of 1131045168 in words is "one billion, one hundred thirty-one million, forty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 43 44 48 62 66 86 88 93 124 129 132 172 176 186 248 258 264 341 344 372 473 496 516 528 682 688 744 946 1023 1032 1333 1364 1419 1488 1607 1892 2046 2064 2666 2728 2838 3214 3784 3999 4092 4821 5332 5456 5676 6428 7568 7998 8184 9642 10664 11352 12856 14663 15996 16368 17677 19284 21328 22704 25712 29326 31992 35354 38568 43989 49817 53031 58652 63984 69101 70708 77136 87978 99634 106062 117304 138202 141416 149451 175956 199268 207303 212124 234608 276404 282832 298902 351912 398536 414606 424248 547987 552808 597804 703824 760111 797072 829212 848496 1095974 1105616 1195608 1520222 1643961 1658424 2142131 2191948 2280333 2391216 3040444 3287922 3316848 4284262 4383896 4560666 6080888 6426393 6575844 8568524 8767792 9121332 12161776 12852786 13151688 17137048 18242664 23563441 25705572 26303376 34274096 36485328 47126882 51411144 70690323 94253764 102822288 141380646 188507528 282761292 377015056 565522584 1131045168