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106199224957 = 7283451911863
BaseRepresentation
bin110001011100111110…
…1111001001001111101
3101011010012120121012001
41202321331321021331
53214444000144312
6120442013542301
710446500342440
oct1427175711175
9334105517161
10106199224957
114104776a611
12186b9aa4991
13a025c50aa7
1451d64cd657
152b685c7057
hex18b9f7927d

106199224957 has 16 divisors (see below), whose sum is σ = 121836636160. Its totient is φ = 90678537072.

The previous prime is 106199224921. The next prime is 106199224969. The reversal of 106199224957 is 759422991601.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106199224957 is a prime.

It is a super-2 number, since 2×1061992249572 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106199224898 and 106199224907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106199224907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8946208 + ... + 8958070.

It is an arithmetic number, because the mean of its divisors is an integer number (7614789760).

Almost surely, 2106199224957 is an apocalyptic number.

It is an amenable number.

106199224957 is a deficient number, since it is larger than the sum of its proper divisors (15637411203).

106199224957 is a wasteful number, since it uses less digits than its factorization.

106199224957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16672.

The product of its (nonzero) digits is 2449440, while the sum is 55.

The spelling of 106199224957 in words is "one hundred six billion, one hundred ninety-nine million, two hundred twenty-four thousand, nine hundred fifty-seven".

Divisors: 1 7 283 1981 4519 11863 31633 83041 1278877 3357229 8952139 23500603 53608897 375262279 15171317851 106199224957