Search a number
-
+
1120120131042 = 232119049625171
BaseRepresentation
bin10000010011001100010…
…111001100110111100010
310222002020002122022210100
4100103030113030313202
5121323001223143132
62214324233443230
7143632423006503
oct20231427146742
93862202568710
101120120131042
113a2049681270
12161105b70516
138181c324663
143c2dd700baa
151e20c04b37c
hex104cc5ccde2

1120120131042 has 48 divisors (see below), whose sum is σ = 2647853488800. Its totient is φ = 339392289600.

The previous prime is 1120120131001. The next prime is 1120120131047. The reversal of 1120120131042 is 2401310210211.

1120120131042 is a `hidden beast` number, since 112 + 0 + 1 + 201 + 310 + 42 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1120120131047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1479117 + ... + 2104287.

It is an arithmetic number, because the mean of its divisors is an integer number (55163614350).

Almost surely, 21120120131042 is an apocalyptic number.

1120120131042 is an abundant number, since it is smaller than the sum of its proper divisors (1527733357758).

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

1120120131042 is a wasteful number, since it uses less digits than its factorization.

1120120131042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634239 (or 634236 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1120120131042 its reverse (2401310210211), we get a palindrome (3521430341253).

The spelling of 1120120131042 in words is "one trillion, one hundred twenty billion, one hundred twenty million, one hundred thirty-one thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 9049 18098 27147 54294 81441 99539 162882 199078 298617 597234 625171 895851 1250342 1791702 1875513 3751026 5626539 6876881 11253078 13753762 20630643 41261286 61891929 123783858 5657172379 11314344758 16971517137 33943034274 50914551411 62228896169 101829102822 124457792338 186686688507 373373377014 560060065521 1120120131042