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1112121090 = 2355597757
BaseRepresentation
bin100001001001001…
…1001111100000010
32212111122121100000
41002102121330002
54234200333330
6302204340430
736362605353
oct10222317402
92774577300
101112121090
11520844043
12270544716
13149535b22
14a79b5d2a
156797c560
hex42499f02

1112121090 has 96 divisors (see below), whose sum is σ = 3049824960. Its totient is φ = 291501504.

The previous prime is 1112121089. The next prime is 1112121103. The reversal of 1112121090 is 901212111.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 139492 + ... + 147248.

It is an arithmetic number, because the mean of its divisors is an integer number (31769010).

Almost surely, 21112121090 is an apocalyptic number.

1112121090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112121090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524912480).

1112121090 is an abundant number, since it is smaller than the sum of its proper divisors (1937703870).

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

1112121090 is an equidigital number, since it uses as much as digits as its factorization.

1112121090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7838 (or 7826 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The square root of 1112121090 is about 33348.4795755369. The cubic root of 1112121090 is about 1036.0578975360.

The spelling of 1112121090 in words is "one billion, one hundred twelve million, one hundred twenty-one thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 81 90 118 135 162 177 243 270 295 354 405 486 531 590 810 885 1062 1215 1593 1770 2430 2655 3186 4779 5310 7757 7965 9558 14337 15514 15930 23271 23895 28674 38785 46542 47790 69813 71685 77570 116355 139626 143370 209439 232710 349065 418878 457663 628317 698130 915326 1047195 1256634 1372989 1884951 2094390 2288315 2745978 3141585 3769902 4118967 4576630 6283170 6864945 8237934 9424755 12356901 13729890 18849510 20594835 24713802 37070703 41189670 61784505 74141406 111212109 123569010 185353515 222424218 370707030 556060545 1112121090