Search a number
-
+
106313633104 = 247949228867
BaseRepresentation
bin110001100000011001…
…0010100110101010000
3101011102011212010122211
41203000302110311100
53220212242224404
6120501222041504
710452356654050
oct1430062246520
9334364763584
10106313633104
11410a63020a8
1218730279294
13a04386a713
145207791560
152b73675b04
hex18c0c94d50

106313633104 has 20 divisors (see below), whose sum is σ = 235408759264. Its totient is φ = 45562985568.

The previous prime is 106313633051. The next prime is 106313633131. The reversal of 106313633104 is 401336313601.

It is a super-2 number, since 2×1063136331042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 474614322 + ... + 474614545.

Almost surely, 2106313633104 is an apocalyptic number.

106313633104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106313633104 is an abundant number, since it is smaller than the sum of its proper divisors (129095126160).

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

106313633104 is an equidigital number, since it uses as much as digits as its factorization.

106313633104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949228882 (or 949228876 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 31.

Adding to 106313633104 its reverse (401336313601), we get a palindrome (507649946705).

The spelling of 106313633104 in words is "one hundred six billion, three hundred thirteen million, six hundred thirty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 949228867 1898457734 3796915468 6644602069 7593830936 13289204138 15187661872 26578408276 53156816552 106313633104