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1122001400 = 2352133971087
BaseRepresentation
bin100001011100000…
…0110000111111000
32220012020120120102
41002320012013320
54244213021100
6303200214532
736542566052
oct10270060770
92805216512
101122001400
11526382293
1227390a448
1314b5b5070
14a90288d2
156877ecd5
hex42e061f8

1122001400 has 96 divisors (see below), whose sum is σ = 2818986240. Its totient is φ = 412853760.

The previous prime is 1122001399. The next prime is 1122001403. The reversal of 1122001400 is 41002211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122001403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1031657 + ... + 1032743.

It is an arithmetic number, because the mean of its divisors is an integer number (29364440).

Almost surely, 21122001400 is an apocalyptic number.

1122001400 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 1122001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409493120).

1122001400 is an abundant number, since it is smaller than the sum of its proper divisors (1696984840).

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

1122001400 is a wasteful number, since it uses less digits than its factorization.

1122001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1122001400 is about 33496.2893467321. The cubic root of 1122001400 is about 1039.1170390390.

Adding to 1122001400 its reverse (41002211), we get a palindrome (1163003611).

The spelling of 1122001400 in words is "one billion, one hundred twenty-two million, one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 397 520 650 794 1087 1300 1588 1985 2174 2600 3176 3970 4348 5161 5435 7940 8696 9925 10322 10870 14131 15880 19850 20644 21740 25805 27175 28262 39700 41288 43480 51610 54350 56524 70655 79400 103220 108700 113048 129025 141310 206440 217400 258050 282620 353275 431539 516100 565240 706550 863078 1032200 1413100 1726156 2157695 2826200 3452312 4315390 5610007 8630780 10788475 11220014 17261560 21576950 22440028 28050035 43153900 44880056 56100070 86307800 112200140 140250175 224400280 280500350 561000700 1122001400