Search a number
-
+
10121222230231 = 721737859938189
BaseRepresentation
bin1001001101001000011111…
…0110110001000011010111
31022211120122101020121000011
42103102013312301003113
52311311230342331411
633305343022101051
72063143215323200
oct223220766610327
938746571217004
1010121222230231
1132524280a8872
121175688a1a787
1358557261b638
1426dc269105a7
15128422375c21
hex93487db10d7

10121222230231 has 48 divisors (see below), whose sum is σ = 12804984792000. Its totient is φ = 7943211537408.

The previous prime is 10121222230201. The next prime is 10121222230253. The reversal of 10121222230231 is 13203222212101.

10121222230231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10121222230231 - 219 = 10121221705943 is a prime.

It is a super-2 number, since 2×101212222302312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121222230201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265010685 + ... + 265048873.

It is an arithmetic number, because the mean of its divisors is an integer number (266770516500).

Almost surely, 210121222230231 is an apocalyptic number.

10121222230231 is a deficient number, since it is larger than the sum of its proper divisors (2683762561769).

10121222230231 is a wasteful number, since it uses less digits than its factorization.

10121222230231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46856 (or 46849 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10121222230231 its reverse (13203222212101), we get a palindrome (23324444442332).

The spelling of 10121222230231 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty-two million, two hundred thirty thousand, two hundred thirty-one".

Divisors: 1 7 17 37 49 119 259 629 833 1813 4403 8599 30821 38189 60193 146183 267323 318163 421351 649213 1023281 1412993 1871261 2227141 4544491 5408771 7162967 9890951 15589987 24020881 31811437 37861397 69236657 168146167 265029779 328387211 1177023169 2298710477 5582582587 12150326807 16090973339 39078078109 85052287649 206555555719 273546546763 595366013543 1445888890033 10121222230231