Search a number
-
+
1121222100 = 2235237831217
BaseRepresentation
bin100001011010100…
…0111110111010100
32220010202222120110
41002311013313110
54244013101400
6303131403020
736533142045
oct10265076724
92803688513
101121222100
1152599a839
122735b3470
1314b3a143b
14a8ca48cc
1568678e50
hex42d47dd4

1121222100 has 144 divisors (see below), whose sum is σ = 3374659008. Its totient is φ = 287170560.

The previous prime is 1121222093. The next prime is 1121222117. The reversal of 1121222100 is 12221211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 920692 + ... + 921908.

It is an arithmetic number, because the mean of its divisors is an integer number (23435132).

Almost surely, 21121222100 is an apocalyptic number.

1121222100 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 1121222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687329504).

1121222100 is an abundant number, since it is smaller than the sum of its proper divisors (2253436908).

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

1121222100 is a wasteful number, since it uses less digits than its factorization.

1121222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1121222100 is about 33484.6546943522. The cubic root of 1121222100 is about 1038.8764061061.

Adding to 1121222100 its reverse (12221211), we get a palindrome (1133443311).

The spelling of 1121222100 in words is "one billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 83 100 111 148 150 166 185 222 249 300 332 370 415 444 498 555 740 830 925 996 1110 1217 1245 1660 1850 2075 2220 2434 2490 2775 3071 3651 3700 4150 4868 4980 5550 6085 6142 6225 7302 8300 9213 11100 12170 12284 12450 14604 15355 18255 18426 24340 24900 30425 30710 36510 36852 45029 46065 60850 61420 73020 76775 90058 91275 92130 101011 121700 135087 153550 180116 182550 184260 202022 225145 230325 270174 303033 307100 365100 404044 450290 460650 505055 540348 606066 675435 900580 921300 1010110 1125725 1212132 1350870 1515165 2020220 2251450 2525275 2701740 3030330 3377175 3737407 4502900 5050550 6060660 6754350 7474814 7575825 10101100 11212221 13508700 14949628 15151650 18687035 22424442 30303300 37374070 44848884 56061105 74748140 93435175 112122210 186870350 224244420 280305525 373740700 560611050 1121222100