Search a number
-
+
1011000210320 = 24522955185601
BaseRepresentation
bin11101011011001000100…
…11101111001110010000
310120122120100021000020002
432231210103233032100
5113031012023212240
62052240323105132
7133020345666032
oct16554423571620
93518510230202
101011000210320
1135a843297801
12143b31b121a8
137444c267b29
1436d0b36dc52
151b472347d15
hexeb644ef390

1011000210320 has 40 divisors (see below), whose sum is σ = 2360840053560. Its totient is φ = 402634137600.

The previous prime is 1011000210313. The next prime is 1011000210349. The reversal of 1011000210320 is 230120001101.

It can be written as a sum of positive squares in 4 ways, for example, as 65757370624 + 945242839696 = 256432^2 + 972236^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27574481 + ... + 27611120.

It is an arithmetic number, because the mean of its divisors is an integer number (59021001339).

Almost surely, 21011000210320 is an apocalyptic number.

1011000210320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011000210320 is an abundant number, since it is smaller than the sum of its proper divisors (1349839843240).

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

1011000210320 is a wasteful number, since it uses less digits than its factorization.

1011000210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55185843 (or 55185837 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1011000210320 its reverse (230120001101), we get a palindrome (1241120211421).

The spelling of 1011000210320 in words is "one trillion, eleven billion, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 229 458 916 1145 1832 2290 3664 4580 9160 18320 55185601 110371202 220742404 275928005 441484808 551856010 882969616 1103712020 2207424040 4414848080 12637502629 25275005258 50550010516 63187513145 101100021032 126375026290 202200042064 252750052580 505500105160 1011000210320