Search a number
-
+
10232414224011 = 347231521751563
BaseRepresentation
bin1001010011100110101101…
…1010100011111010001011
31100020012122112121010110000
42110321223122203322023
52320121441020132021
633432412312254043
72104160522555160
oct224715332437213
940205575533400
1010232414224011
1132955a7086501
12119313a9a1323
13592bb2a687b5
1427537413c067
1512b27de26b26
hex94e6b6a3e8b

10232414224011 has 80 divisors (see below), whose sum is σ = 18230172516864. Its totient is φ = 5592396370176.

The previous prime is 10232414223991. The next prime is 10232414224031. The reversal of 10232414224011 is 11042241423201.

10232414224011 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 2 + 414 + 2 + 240 + 1 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (10232414223991) and next prime (10232414224031).

It is not a de Polignac number, because 10232414224011 - 26 = 10232414223947 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10232414224031) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 198419116 + ... + 198470678.

Almost surely, 210232414224011 is an apocalyptic number.

10232414224011 is a deficient number, since it is larger than the sum of its proper divisors (7997758292853).

10232414224011 is a wasteful number, since it uses less digits than its factorization.

10232414224011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66822 (or 66813 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10232414224011 its reverse (11042241423201), we get a palindrome (21274655647212).

The spelling of 10232414224011 in words is "ten trillion, two hundred thirty-two billion, four hundred fourteen million, two hundred twenty-four thousand, eleven".

Divisors: 1 3 7 9 21 23 27 63 69 81 161 189 207 483 567 621 1449 1863 4347 13041 15217 45651 51563 106519 136953 154689 319557 349991 360941 410859 464067 958671 1049973 1082823 1185949 1232577 1392201 2449937 2876013 3149919 3248469 3557847 4176603 7349811 8301643 8628039 9449757 9745407 10673541 22049433 24904929 28349271 29236221 32020623 66148299 74714787 96061869 198444897 224144361 672433083 784634171 2353902513 5492439197 7061707539 16477317591 18046585933 21185122617 49431952773 54139757799 63555367851 126326101531 148295858319 162419273397 378978304593 444887574957 487257820191 1136934913779 1461773460573 3410804741337 10232414224011