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106328823601 = 71113106222601
BaseRepresentation
bin110001100000110110…
…0010001011100110001
3101011110020102220002211
41203001230101130301
53220230134323401
6120502523412121
710452633042160
oct1430154213461
9334406386084
10106328823601
1141103937a30
1218735384041
13a046a58990
1452097c73d7
152b74b76951
hex18c1b11731

106328823601 has 16 divisors (see below), whose sum is σ = 142763177088. Its totient is φ = 76480272000.

The previous prime is 106328823569. The next prime is 106328823631.

106328823601 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 106328823601 - 25 = 106328823569 is a prime.

It is a super-2 number, since 2×1063288236012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106328823631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53110300 + ... + 53112301.

It is an arithmetic number, because the mean of its divisors is an integer number (8922698568).

Almost surely, 2106328823601 is an apocalyptic number.

106328823601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106328823601 is a deficient number, since it is larger than the sum of its proper divisors (36434353487).

106328823601 is a wasteful number, since it uses less digits than its factorization.

106328823601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106222632.

The product of its (nonzero) digits is 82944, while the sum is 40.

It can be divided in two parts, 106328 and 823601, that added together give a palindrome (929929).

The spelling of 106328823601 in words is "one hundred six billion, three hundred twenty-eight million, eight hundred twenty-three thousand, six hundred one".

Divisors: 1 7 11 13 77 91 143 1001 106222601 743558207 1168448611 1380893813 8179140277 9666256691 15189831943 106328823601