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106165166001 = 31032411425629
BaseRepresentation
bin110001011011111101…
…1111101111110110001
3101011000211111020002020
41202313323331332301
53214411240303001
6120434355542053
710445605010256
oct1426773757661
9334024436066
10106165166001
114102a517614
12186aa5ba929
13a01bb8746b
1451d1b8542d
152b655ea736
hex18b7efdfb1

106165166001 has 16 divisors (see below), whose sum is σ = 143521023360. Its totient is φ = 69798746880.

The previous prime is 106165165973. The next prime is 106165166017. The reversal of 106165166001 is 100661561601.

It is not a de Polignac number, because 106165166001 - 213 = 106165157809 is a prime.

It is a super-2 number, since 2×1061651660012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106165161001) 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, 638346 + ... + 787283.

It is an arithmetic number, because the mean of its divisors is an integer number (8970063960).

Almost surely, 2106165166001 is an apocalyptic number.

It is an amenable number.

106165166001 is a deficient number, since it is larger than the sum of its proper divisors (37355857359).

106165166001 is a wasteful number, since it uses less digits than its factorization.

106165166001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425976.

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 106165166001 in words is "one hundred six billion, one hundred sixty-five million, one hundred sixty-six thousand, one".

Divisors: 1 3 103 241 309 723 24823 74469 1425629 4276887 146839787 343576589 440519361 1030729767 35388388667 106165166001