Search a number
-
+
1013121121120 = 2556332007007
BaseRepresentation
bin11101011111000101011…
…10010111101101100000
310120212001011010102212221
432233202232113231200
5113044333001333440
62053231005400424
7133124041304323
oct16574256275540
93525034112787
101013121121120
11360731508449
12144424269114
13746c9797834
143706cd007ba
151b548640d4a
hexebe2b97b60

1013121121120 has 24 divisors (see below), whose sum is σ = 2393498649024. Its totient is φ = 405248448384.

The previous prime is 1013121121099. The next prime is 1013121121141. The reversal of 1013121121120 is 211211213101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1013121121099) and next prime (1013121121141).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1013121121094 and 1013121121103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3166003344 + ... + 3166003663.

It is an arithmetic number, because the mean of its divisors is an integer number (99729110376).

Almost surely, 21013121121120 is an apocalyptic number.

1013121121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013121121120 is an abundant number, since it is smaller than the sum of its proper divisors (1380377527904).

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

1013121121120 is an equidigital number, since it uses as much as digits as its factorization.

1013121121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6332007022 (or 6332007014 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 1013121121120 its reverse (211211213101), we get a palindrome (1224332334221).

The spelling of 1013121121120 in words is "one trillion, thirteen billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 6332007007 12664014014 25328028028 31660035035 50656056056 63320070070 101312112112 126640140140 202624224224 253280280280 506560560560 1013121121120