Search a number
-
+
106263515316 = 223721112834673
BaseRepresentation
bin110001011110111001…
…1001001000010110100
3101011021200112212222110
41202331303021002310
53220111424442231
6120452231531020
710451210656050
oct1427563110264
9334250485873
10106263515316
114107aa90942
1218717529a70
13a03637081a
145200c66c60
152b6e076046
hex18bdcc90b4

106263515316 has 96 divisors (see below), whose sum is σ = 284995243008. Its totient is φ = 30187100160.

The previous prime is 106263515287. The next prime is 106263515317. The reversal of 106263515316 is 613515362601.

It is a super-2 number, since 2×1062635153162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106263515317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22737556 + ... + 22742228.

It is an arithmetic number, because the mean of its divisors is an integer number (2968700448).

Almost surely, 2106263515316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106263515316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142497621504).

106263515316 is an abundant number, since it is smaller than the sum of its proper divisors (178731727692).

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

106263515316 is a wasteful number, since it uses less digits than its factorization.

106263515316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6181 (or 6179 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

Adding to 106263515316 its reverse (613515362601), we get a palindrome (719778877917).

The spelling of 106263515316 in words is "one hundred six billion, two hundred sixty-three million, five hundred fifteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 211 422 633 844 1266 1283 1477 2532 2566 2954 3849 4431 4673 5132 5908 7698 8862 8981 9346 14019 15396 17724 17962 18692 26943 28038 32711 35924 53886 56076 65422 98133 107772 130844 196266 270713 392532 541426 812139 986003 1082852 1624278 1894991 1972006 2958009 3248556 3789982 3944012 5684973 5916018 5995459 6902021 7579964 11369946 11832036 11990918 13804042 17986377 20706063 22739892 23981836 27608084 35972754 41412126 41968213 71945508 82824252 83936426 125904639 167872852 251809278 503618556 1265041849 2530083698 3795125547 5060167396 7590251094 8855292943 15180502188 17710585886 26565878829 35421171772 53131757658 106263515316