Search a number
-
+
1331200101 = 372114012053
BaseRepresentation
bin100111101011000…
…1000000001100101
310102202212222020110
41033112020001211
510211241400401
6340032123233
744663004600
oct11726100145
93382788213
101331200101
11623478380
12311996519
13182a4028a
14c8b23337
157bd049d6
hex4f588065

1331200101 has 48 divisors (see below), whose sum is σ = 2259137088. Its totient is φ = 689472000.

The previous prime is 1331200043. The next prime is 1331200103. The reversal of 1331200101 is 1010021331.

It is not a de Polignac number, because 1331200101 - 211 = 1331198053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331200103) 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 47 ways as a sum of consecutive naturals, for example, 647391 + ... + 649443.

It is an arithmetic number, because the mean of its divisors is an integer number (47065356).

Almost surely, 21331200101 is an apocalyptic number.

1331200101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1331200101 is a deficient number, since it is larger than the sum of its proper divisors (927936987).

1331200101 is a wasteful number, since it uses less digits than its factorization.

1331200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1331200101 is about 36485.6149872796. The cubic root of 1331200101 is about 1100.0551214802.

Adding to 1331200101 its reverse (1010021331), we get a palindrome (2341221432).

The spelling of 1331200101 in words is "one billion, three hundred thirty-one million, two hundred thousand, one hundred one".

Divisors: 1 3 7 11 21 33 49 77 147 231 401 539 1203 1617 2053 2807 4411 6159 8421 13233 14371 19649 22583 30877 43113 58947 67749 92631 100597 158081 216139 301791 474243 648417 823253 1106567 2469759 3319701 5762771 9055783 17288313 27167349 40339397 63390481 121018191 190171443 443733367 1331200101