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106400914171 = 377014102283
BaseRepresentation
bin110001100010111111…
…1010001101011111011
3101011122021002110202221
41203011333101223323
53220402113223141
6120514020504511
710454466563566
oct1430577215373
9334567073687
10106400914171
11411405a6712
121875554b137
13a058979c16
1452151d14dd
152b7b166bd1
hex18c5fd1afb

106400914171 has 8 divisors (see below), whose sum is σ = 109432527984. Its totient is φ = 103377506400.

The previous prime is 106400914157. The next prime is 106400914181. The reversal of 106400914171 is 171419004601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106400914171 - 213 = 106400905979 is a prime.

It is a super-2 number, since 2×1064009141712 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106400914181) 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 7 ways as a sum of consecutive naturals, for example, 2025205 + ... + 2077078.

It is an arithmetic number, because the mean of its divisors is an integer number (13679065998).

Almost surely, 2106400914171 is an apocalyptic number.

106400914171 is a deficient number, since it is larger than the sum of its proper divisors (3031613813).

106400914171 is an equidigital number, since it uses as much as digits as its factorization.

106400914171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4103021.

The product of its (nonzero) digits is 6048, while the sum is 34.

Adding to 106400914171 its reverse (171419004601), we get a palindrome (277819918772).

The spelling of 106400914171 in words is "one hundred six billion, four hundred million, nine hundred fourteen thousand, one hundred seventy-one".

Divisors: 1 37 701 25937 4102283 151784471 2875700383 106400914171