Search a number
-
+
1111122040 = 235721733347
BaseRepresentation
bin100001000111010…
…0110000001111000
32212102202211220011
41002032212001320
54233421401130
6302131111304
736351244600
oct10216460170
92772684804
101111122040
11520221486
12270142534
13149276182
14a77d5c00
156783152a
hex423a6078

1111122040 has 96 divisors (see below), whose sum is σ = 3079354320. Its totient is φ = 358536192.

The previous prime is 1111122011. The next prime is 1111122041. The reversal of 1111122040 is 402211111.

It is a self number, because there is not a number n which added to its sum of digits gives 1111122040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111122041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16647 + ... + 49993.

Almost surely, 21111122040 is an apocalyptic number.

1111122040 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 1111122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539677160).

1111122040 is an abundant number, since it is smaller than the sum of its proper divisors (1968232280).

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

1111122040 is a wasteful number, since it uses less digits than its factorization.

1111122040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33389 (or 33378 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 1111122040 is about 33333.4972662636. The cubic root of 1111122040 is about 1035.7475645000.

Adding to 1111122040 its reverse (402211111), we get a palindrome (1513333151).

The spelling of 1111122040 in words is "one billion, one hundred eleven million, one hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 49 56 68 70 85 98 119 136 140 170 196 238 245 280 340 392 476 490 595 680 833 952 980 1190 1666 1960 2380 3332 4165 4760 6664 8330 16660 33320 33347 66694 133388 166735 233429 266776 333470 466858 566899 666940 933716 1133798 1167145 1333880 1634003 1867432 2267596 2334290 2834495 3268006 3968293 4535192 4668580 5668990 6536012 7936586 8170015 9337160 11337980 13072024 15873172 16340030 19841465 22675960 27778051 31746344 32680060 39682930 55556102 65360120 79365860 111112204 138890255 158731720 222224408 277780510 555561020 1111122040