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106454140001 = 11414515011
BaseRepresentation
bin110001100100100101…
…0010100010001100001
3101011202222020121212222
41203021022110101201
53221004224440001
6120523201400425
710456014155126
oct1431112242141
9334688217788
10106454140001
1141168650000
121876b339115
13a0669c46b1
14521c2c874d
152b80b7c61b
hex18c9294461

106454140001 has 20 divisors (see below), whose sum is σ = 117202913520. Its totient is φ = 96690495000.

The previous prime is 106454139991. The next prime is 106454140007. The reversal of 106454140001 is 100041454601.

It is not a de Polignac number, because 106454140001 - 210 = 106454138977 is a prime.

It is a super-2 number, since 2×1064541400012 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106454140007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21241586 + ... + 21246596.

It is an arithmetic number, because the mean of its divisors is an integer number (5860145676).

Almost surely, 2106454140001 is an apocalyptic number.

106454140001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106454140001 is a deficient number, since it is larger than the sum of its proper divisors (10748773519).

106454140001 is an frugal number, since it uses more digits than its factorization.

106454140001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6506 (or 6473 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 106454140001 its reverse (100041454601), we get a palindrome (206495594602).

The spelling of 106454140001 in words is "one hundred six billion, four hundred fifty-four million, one hundred forty thousand, one".

Divisors: 1 11 121 1331 1451 5011 14641 15961 55121 175571 606331 1931281 6669641 7270961 21244091 73366051 79980571 879786281 9677649091 106454140001