Search a number
-
+
1035214511112 = 233271202506751
BaseRepresentation
bin11110001000001111001…
…01111101110000001000
310122222001212201221100100
433010013211331300020
5113430104403323422
62111323155405400
7134535403105125
oct17040745756010
93588055657310
101035214511112
1136a039670341
1214876b2b3860
137680aa87772
143816723174c
151bddd06a7ac
hexf10797dc08

1035214511112 has 48 divisors (see below), whose sum is σ = 2843194798080. Its totient is φ = 340211340000.

The previous prime is 1035214511057. The next prime is 1035214511113. The reversal of 1035214511112 is 2111154125301.

1035214511112 is a `hidden beast` number, since 1 + 0 + 35 + 2 + 1 + 4 + 511 + 112 = 666.

It is not an unprimeable number, because it can be changed into a prime (1035214511113) 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 11 ways as a sum of consecutive naturals, for example, 101248264 + ... + 101258487.

It is an arithmetic number, because the mean of its divisors is an integer number (59233224960).

Almost surely, 21035214511112 is an apocalyptic number.

1035214511112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1035214511112 is an abundant number, since it is smaller than the sum of its proper divisors (1807980286968).

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

1035214511112 is a wasteful number, since it uses less digits than its factorization.

1035214511112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202506834 (or 202506827 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 1035214511112 its reverse (2111154125301), we get a palindrome (3146368636413).

The spelling of 1035214511112 in words is "one trillion, thirty-five billion, two hundred fourteen million, five hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2556 5112 202506751 405013502 607520253 810027004 1215040506 1620054008 1822560759 2430081012 3645121518 4860162024 7290243036 14377979321 14580486072 28755958642 43133937963 57511917284 86267875926 115023834568 129401813889 172535751852 258803627778 345071503704 517607255556 1035214511112