Search a number
-
+
10131213114 = 23211213073559
BaseRepresentation
bin10010110111101111…
…00000101100111010
3222011001122221200100
421123313200230322
5131222042304424
64353151020230
7506026614321
oct113367405472
928131587610
1010131213114
114329895400
121b68b0a676
13c55c3c179
146c175b0b8
153e467adc9
hex25bde0b3a

10131213114 has 72 divisors (see below), whose sum is σ = 24153161760. Its totient is φ = 3066853680.

The previous prime is 10131213097. The next prime is 10131213151. The reversal of 10131213114 is 41131213101.

It is a happy number.

It is a super-2 number, since 2×101312131142 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2844867 + ... + 2848425.

It is an arithmetic number, because the mean of its divisors is an integer number (335460580).

Almost surely, 210131213114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131213114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12076580880).

10131213114 is an abundant number, since it is smaller than the sum of its proper divisors (14021948646).

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

10131213114 is a wasteful number, since it uses less digits than its factorization.

10131213114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4896 (or 4882 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10131213114 its reverse (41131213101), we get a palindrome (51262426215).

The spelling of 10131213114 in words is "ten billion, one hundred thirty-one million, two hundred thirteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 1307 2178 2614 3559 3921 7118 7842 10677 11763 14377 21354 23526 28754 32031 39149 43131 64062 78298 86262 117447 129393 158147 234894 258786 316294 352341 430639 474441 704682 861278 948882 1291917 1423323 2583834 2846646 3875751 4651613 7751502 9303226 13954839 27909678 41864517 51167743 83729034 102335486 153503229 307006458 460509687 562845173 921019374 1125690346 1688535519 3377071038 5065606557 10131213114