Search a number
-
+
1121102100 = 2233522771499
BaseRepresentation
bin100001011010010…
…1010100100010100
32220010112212222000
41002310222210110
54244000231400
6303125035300
736532132146
oct10264524424
92803485860
101121102100
11525918668
12273555b30
1314b35b931
14a8c72c96
1568653600
hex42d2a914

1121102100 has 144 divisors (see below), whose sum is σ = 3619560000. Its totient is φ = 297682560.

The previous prime is 1121102093. The next prime is 1121102113. The reversal of 1121102100 is 12011211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 747151 + ... + 748649.

Almost surely, 21121102100 is an apocalyptic number.

1121102100 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 1121102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809780000).

1121102100 is an abundant number, since it is smaller than the sum of its proper divisors (2498457900).

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

1121102100 is a wasteful number, since it uses less digits than its factorization.

1121102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1121102100 is about 33482.8627808316. The cubic root of 1121102100 is about 1038.8393424960.

Adding to 1121102100 its reverse (12011211), we get a palindrome (1133113311).

The spelling of 1121102100 in words is "one billion, one hundred twenty-one million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 277 300 450 540 554 675 831 900 1108 1350 1385 1499 1662 2493 2700 2770 2998 3324 4155 4497 4986 5540 5996 6925 7479 7495 8310 8994 9972 12465 13491 13850 14958 14990 16620 17988 20775 22485 24930 26982 27700 29916 29980 37395 37475 40473 41550 44970 49860 53964 62325 67455 74790 74950 80946 83100 89940 112425 124650 134910 149580 149900 161892 186975 202365 224850 249300 269820 337275 373950 404730 415223 449700 674550 747900 809460 830446 1011825 1245669 1349100 1660892 2023650 2076115 2491338 3737007 4047300 4152230 4982676 6228345 7474014 8304460 10380575 11211021 12456690 14948028 18685035 20761150 22422042 24913380 31141725 37370070 41522300 44844084 56055105 62283450 74740140 93425175 112110210 124566900 186850350 224220420 280275525 373700700 560551050 1121102100