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106200125056 = 27829688477
BaseRepresentation
bin110001011101000000…
…1010100111010000000
3101011010021021022220001
41202322001110322000
53214444213000211
6120442045125344
710446511111564
oct1427201247200
9334107238801
10106200125056
11410482248a3
12186ba259854
13a0261a76ac
1451d66856a4
152b68703ac1
hex18ba054e80

106200125056 has 16 divisors (see below), whose sum is σ = 211570561890. Its totient is φ = 53100062464.

The previous prime is 106200125047. The next prime is 106200125107. The reversal of 106200125056 is 650521002601.

It can be written as a sum of positive squares in only one way, i.e., 97728763456 + 8471361600 = 312616^2 + 92040^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×1062001250562 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414844111 + ... + 414844366.

Almost surely, 2106200125056 is an apocalyptic number.

106200125056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106200125056 is a deficient number, since it is larger than the sum of its proper divisors (105370436834).

106200125056 is an frugal number, since it uses more digits than its factorization.

106200125056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829688491 (or 829688479 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 106200125056 its reverse (650521002601), we get a palindrome (756721127657).

The spelling of 106200125056 in words is "one hundred six billion, two hundred million, one hundred twenty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 128 829688477 1659376954 3318753908 6637507816 13275015632 26550031264 53100062528 106200125056