Search a number
-
+
1001001011112 = 233234634014667
BaseRepresentation
bin11101001000100000100…
…11110100011110101000
310112200202111000001120200
432210100103310132220
5112400022224323422
62043504205352200
7132214511130534
oct16442023643650
93480674001520
101001001011112
11356581a7a403
12142001268660
137351779accb
143663d378bc4
151b0895972ac
hexe9104f47a8

1001001011112 has 48 divisors (see below), whose sum is σ = 2711827940640. Its totient is φ = 333570568608.

The previous prime is 1001001011057. The next prime is 1001001011113. The reversal of 1001001011112 is 2111101001001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001001011094 and 1001001011103.

It is not an unprimeable number, because it can be changed into a prime (1001001011113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1757998 + ... + 2256669.

It is an arithmetic number, because the mean of its divisors is an integer number (56496415430).

Almost surely, 21001001011112 is an apocalyptic number.

1001001011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001001011112 is an abundant number, since it is smaller than the sum of its proper divisors (1710826929528).

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

1001001011112 is a wasteful number, since it uses less digits than its factorization.

1001001011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4018142 (or 4018135 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1001001011112 its reverse (2111101001001), we get a palindrome (3112102012113).

The spelling of 1001001011112 in words is "one trillion, one billion, one million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3463 6926 10389 13852 20778 27704 31167 41556 62334 83112 124668 249336 4014667 8029334 12044001 16058668 24088002 32117336 36132003 48176004 72264006 96352008 144528012 289056024 13902791821 27805583642 41708375463 55611167284 83416750926 111222334568 125125126389 166833501852 250250252778 333667003704 500500505556 1001001011112