Search a number
-
+
1121414010 = 235171926091
BaseRepresentation
bin100001011010111…
…0110101101111010
32220011010201211020
41002311312231322
54244040222020
6303135443310
736534601413
oct10265665572
92804121736
101121414010
11526010a42
12273686536
1314b43a8b2
14a8d1480a
15686b5c40
hex42d76b7a

1121414010 has 96 divisors (see below), whose sum is σ = 3008083392. Its totient is φ = 266595840.

The previous prime is 1121413961. The next prime is 1121414017. The reversal of 1121414010 is 104141211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1121414017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181065 + ... + 187155.

It is an arithmetic number, because the mean of its divisors is an integer number (31334202).

Almost surely, 21121414010 is an apocalyptic number.

1121414010 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 1121414010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504041696).

1121414010 is an abundant number, since it is smaller than the sum of its proper divisors (1886669382).

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

1121414010 is a wasteful number, since it uses less digits than its factorization.

1121414010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6156 (or 6137 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1121414010 is about 33487.5202127599. The cubic root of 1121414010 is about 1038.9356745887.

Adding to 1121414010 its reverse (104141211), we get a palindrome (1225555221).

The spelling of 1121414010 in words is "one billion, one hundred twenty-one million, four hundred fourteen thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 114 170 190 255 285 323 361 510 570 646 722 969 1083 1615 1805 1938 2166 3230 3610 4845 5415 6091 6137 9690 10830 12182 12274 18273 18411 30455 30685 36546 36822 60910 61370 91365 92055 103547 115729 182730 184110 207094 231458 310641 347187 517735 578645 621282 694374 1035470 1157290 1553205 1735935 1967393 2198851 3106410 3471870 3934786 4397702 5902179 6596553 9836965 10994255 11804358 13193106 19673930 21988510 29510895 32982765 37380467 59021790 65965530 74760934 112141401 186902335 224282802 373804670 560707005 1121414010