Search a number
-
+
1122252105 = 35132442703
BaseRepresentation
bin100001011100100…
…0011010101001001
32220012201022110210
41002321003111021
54244244031410
6303205431333
736544662012
oct10271032511
92805638423
101122252105
11526533687
12273a0b549
1314b672200
14a9092009
15687ce220
hex42e43549

1122252105 has 24 divisors (see below), whose sum is σ = 1944355968. Its totient is φ = 552492096.

The previous prime is 1122252101. The next prime is 1122252139. The reversal of 1122252105 is 5012522211.

It is not a de Polignac number, because 1122252105 - 22 = 1122252101 is a prime.

It is a super-3 number, since 3×11222521053 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1122252101) 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 23 ways as a sum of consecutive naturals, for example, 218817 + ... + 223886.

It is an arithmetic number, because the mean of its divisors is an integer number (81014832).

Almost surely, 21122252105 is an apocalyptic number.

1122252105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1122252105 is a deficient number, since it is larger than the sum of its proper divisors (822103863).

1122252105 is a wasteful number, since it uses less digits than its factorization.

1122252105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442737 (or 442724 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 1122252105 is about 33500.0314178957. The cubic root of 1122252105 is about 1039.1944282581.

Adding to 1122252105 its reverse (5012522211), we get a palindrome (6134774316).

The spelling of 1122252105 in words is "one billion, one hundred twenty-two million, two hundred fifty-two thousand, one hundred five".

Divisors: 1 3 5 13 15 39 65 169 195 507 845 2535 442703 1328109 2213515 5755139 6640545 17265417 28775695 74816807 86327085 224450421 374084035 1122252105