Search a number
-
+
1201103442 = 2327111137669
BaseRepresentation
bin100011110010111…
…0110001001010010
310002201002101011200
41013211312021102
54424440302232
6315103452030
741523132210
oct10745661122
93081071150
101201103442
11566a9a880
122962b7016
13161abc7c6
14b5739cb0
15706a777c
hex47976252

1201103442 has 96 divisors (see below), whose sum is σ = 3273678720. Its totient is φ = 309173760.

The previous prime is 1201103417. The next prime is 1201103467. The reversal of 1201103442 is 2443011021.

1201103442 is a `hidden beast` number, since 120 + 1 + 103 + 442 = 666.

It is an interprime number because it is at equal distance from previous prime (1201103417) and next prime (1201103467).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 152784 + ... + 160452.

It is an arithmetic number, because the mean of its divisors is an integer number (34100820).

Almost surely, 21201103442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201103442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636839360).

1201103442 is an abundant number, since it is smaller than the sum of its proper divisors (2072575278).

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

1201103442 is a wasteful number, since it uses less digits than its factorization.

1201103442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7808 (or 7805 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1201103442 is about 34656.9393051377. The cubic root of 1201103442 is about 1062.9841866466.

Adding to 1201103442 its reverse (2443011021), we get a palindrome (3644114463).

The spelling of 1201103442 in words is "one billion, two hundred one million, one hundred three thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 113 126 154 198 226 231 339 462 678 693 791 1017 1243 1386 1582 2034 2373 2486 3729 4746 7119 7458 7669 8701 11187 14238 15338 17402 22374 23007 26103 46014 52206 53683 69021 78309 84359 107366 138042 156618 161049 168718 253077 322098 483147 506154 590513 759231 866597 966294 1181026 1518462 1733194 1771539 2599791 3543078 5199582 5314617 6066179 7799373 9532567 10629234 12132358 15598746 18198537 19065134 28597701 36397074 54595611 57195402 66727969 85793103 109191222 133455938 171586206 200183907 400367814 600551721 1201103442