Search a number
-
+
1151101320 = 2335193131613
BaseRepresentation
bin100010010011100…
…0110100110001000
32222020000000011020
41010213012212020
54324140220240
6310120032440
740345125345
oct10447064610
92866000136
101151101320
11540848506
12281602720
13154633455
14acc417cc
156b0cc0d0
hex449c6988

1151101320 has 128 divisors (see below), whose sum is σ = 3648931200. Its totient is φ = 289695744.

The previous prime is 1151101319. The next prime is 1151101327. The reversal of 1151101320 is 231011511.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1151101320.

It is not an unprimeable number, because it can be changed into a prime (1151101327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 712834 + ... + 714446.

It is an arithmetic number, because the mean of its divisors is an integer number (28507275).

Almost surely, 21151101320 is an apocalyptic number.

1151101320 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 1151101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824465600).

1151101320 is an abundant number, since it is smaller than the sum of its proper divisors (2497829880).

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

1151101320 is a wasteful number, since it uses less digits than its factorization.

1151101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 1151101320 is about 33927.8841073239. The cubic root of 1151101320 is about 1048.0238932649.

Adding to 1151101320 its reverse (231011511), we get a palindrome (1382112831).

The spelling of 1151101320 in words is "one billion, one hundred fifty-one million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 313 380 456 570 626 760 939 1140 1252 1565 1613 1878 2280 2504 3130 3226 3756 4695 4839 5947 6260 6452 7512 8065 9390 9678 11894 12520 12904 16130 17841 18780 19356 23788 24195 29735 30647 32260 35682 37560 38712 47576 48390 59470 61294 64520 71364 89205 91941 96780 118940 122588 142728 153235 178410 183882 193560 237880 245176 306470 356820 367764 459705 504869 612940 713640 735528 919410 1009738 1225880 1514607 1838820 2019476 2524345 3029214 3677640 4038952 5048690 6058428 7573035 9592511 10097380 12116856 15146070 19185022 20194760 28777533 30292140 38370044 47962555 57555066 60584280 76740088 95925110 115110132 143887665 191850220 230220264 287775330 383700440 575550660 1151101320