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1131240220 = 2251131374483
BaseRepresentation
bin100001101101101…
…0101101100011100
32220211121221211221
41003123111230130
54304044141340
6304130223124
740014245305
oct10333255434
92824557757
101131240220
11530612580
12276a24aa4
1315049b316
14aa3517ac
15694a744a
hex436d5b1c

1131240220 has 96 divisors (see below), whose sum is σ = 2748082176. Its totient is φ = 387244800.

The previous prime is 1131240191. The next prime is 1131240269. The reversal of 1131240220 is 220421311.

It is a junction number, because it is equal to n+sod(n) for n = 1131240194 and 1131240203.

It is a congruent number.

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, 250099 + ... + 254581.

It is an arithmetic number, because the mean of its divisors is an integer number (28625856).

Almost surely, 21131240220 is an apocalyptic number.

1131240220 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 1131240220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374041088).

1131240220 is an abundant number, since it is smaller than the sum of its proper divisors (1616841956).

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

1131240220 is a wasteful number, since it uses less digits than its factorization.

1131240220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4571 (or 4569 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1131240220 is about 33633.9147290350. The cubic root of 1131240220 is about 1041.9613566521.

Adding to 1131240220 its reverse (220421311), we get a palindrome (1351661531).

The spelling of 1131240220 in words is "one billion, one hundred thirty-one million, two hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 37 44 55 62 74 110 124 148 155 185 220 310 341 370 407 620 682 740 814 1147 1364 1628 1705 2035 2294 3410 4070 4483 4588 5735 6820 8140 8966 11470 12617 17932 22415 22940 25234 44830 49313 50468 63085 89660 98626 126170 138973 165871 197252 246565 252340 277946 331742 493130 555892 663484 694865 829355 986260 1389730 1528703 1658710 1824581 2779460 3057406 3317420 3649162 5142001 6114812 7298324 7643515 9122905 10284002 15287030 18245810 20568004 25710005 30574060 36491620 51420010 56562011 102840020 113124022 226248044 282810055 565620110 1131240220