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1131214032 = 243313712837
BaseRepresentation
bin100001101101100…
…1111010011010000
32220211120121221000
41003123033103100
54304042322112
6304125502000
740014106044
oct10333172320
92824517830
101131214032
115305a4933
12276a11900
1315048c420
14aa346024
156949e7dc
hex436cf4d0

1131214032 has 160 divisors (see below), whose sum is σ = 3547272960. Its totient is φ = 343042560.

The previous prime is 1131214031. The next prime is 1131214057. The reversal of 1131214032 is 2304121311.

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 = 1131213996 and 1131214014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131214031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397318 + ... + 400154.

It is an arithmetic number, because the mean of its divisors is an integer number (22170456).

Almost surely, 21131214032 is an apocalyptic number.

1131214032 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 1131214032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773636480).

1131214032 is an abundant number, since it is smaller than the sum of its proper divisors (2416058928).

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

1131214032 is a wasteful number, since it uses less digits than its factorization.

1131214032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 2926 counting only the distinct ones).

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

The square root of 1131214032 is about 33633.5254173570. The cubic root of 1131214032 is about 1041.9533161864.

Adding to 1131214032 its reverse (2304121311), we get a palindrome (3435335343).

The spelling of 1131214032 in words is "one billion, one hundred thirty-one million, two hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 71 72 78 104 108 117 142 144 156 208 213 216 234 284 312 351 426 432 468 568 624 639 702 852 923 936 1136 1278 1404 1704 1846 1872 1917 2556 2769 2808 2837 3408 3692 3834 5112 5538 5616 5674 7384 7668 8307 8511 10224 11076 11348 14768 15336 16614 17022 22152 22696 24921 25533 30672 33228 34044 36881 44304 45392 49842 51066 66456 68088 73762 76599 99684 102132 110643 132912 136176 147524 153198 199368 201427 204264 221286 295048 306396 331929 398736 402854 408528 442572 590096 604281 612792 663858 805708 885144 995787 1208562 1225584 1327716 1611416 1770288 1812843 1991574 2417124 2618551 2655432 3222832 3625686 3983148 4834248 5237102 5310864 5438529 7251372 7855653 7966296 9668496 10474204 10877058 14502744 15711306 15932592 20948408 21754116 23566959 29005488 31422612 41896816 43508232 47133918 62845224 70700877 87016464 94267836 125690448 141401754 188535672 282803508 377071344 565607016 1131214032