Search a number
-
+
106252601132 = 22437315535449
BaseRepresentation
bin110001011110100100…
…1100000011100101100
3101011020221000101112102
41202331021200130230
53220101131214012
6120451201554232
710451016131216
oct1427511403454
9334227011472
10106252601132
1141074906957
1218713945978
13a03401bb22
1451dd6255b6
152b6d11c2c2
hex18bd26072c

106252601132 has 48 divisors (see below), whose sum is σ = 193032285600. Its totient is φ = 51137630208.

The previous prime is 106252601129. The next prime is 106252601197. The reversal of 106252601132 is 231106252601.

It is a super-2 number, since 2×1062526011322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106252601095 and 106252601104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19496744 + ... + 19502192.

It is an arithmetic number, because the mean of its divisors is an integer number (4021505950).

Almost surely, 2106252601132 is an apocalyptic number.

It is an amenable number.

106252601132 is a deficient number, since it is larger than the sum of its proper divisors (86779684468).

106252601132 is a wasteful number, since it uses less digits than its factorization.

106252601132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7122 (or 7120 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 106252601132 its reverse (231106252601), we get a palindrome (337358853733).

The spelling of 106252601132 in words is "one hundred six billion, two hundred fifty-two million, six hundred one thousand, one hundred thirty-two".

Divisors: 1 2 4 43 73 86 146 172 292 1553 3106 3139 5449 6212 6278 10898 12556 21796 66779 113369 133558 226738 234307 267116 397777 453476 468614 795554 937228 1591108 4874867 8462297 9749734 16924594 17104411 19499468 33849188 34208822 68417644 363878771 617747681 727757542 1235495362 1455515084 2470990724 26563150283 53126300566 106252601132