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146011174001 = 71129312109287
BaseRepresentation
bin1000011111111011110…
…0011011010001110001
3111221212202210011021022
42013332330123101301
54343012330032001
6151024314105225
713356202333640
oct2077674332161
9457782704238
10146011174001
1156a17557140
122436aa1b215
13109cc070aa4
1470d1b09357
153be881511b
hex21fef1b471

146011174001 has 32 divisors (see below), whose sum is σ = 194391982080. Its totient is φ = 106308014400.

The previous prime is 146011173991. The next prime is 146011174033. The reversal of 146011174001 is 100471110641.

It is not a de Polignac number, because 146011174001 - 210 = 146011172977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146011171001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 985421 + ... + 1123866.

It is an arithmetic number, because the mean of its divisors is an integer number (6074749440).

Almost surely, 2146011174001 is an apocalyptic number.

146011174001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146011174001 is a deficient number, since it is larger than the sum of its proper divisors (48380808079).

146011174001 is a wasteful number, since it uses less digits than its factorization.

146011174001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109365.

The product of its (nonzero) digits is 672, while the sum is 26.

Adding to 146011174001 its reverse (100471110641), we get a palindrome (246482284642).

The spelling of 146011174001 in words is "one hundred forty-six billion, eleven million, one hundred seventy-four thousand, one".

Divisors: 1 7 11 29 31 77 203 217 319 341 899 2233 2387 6293 9889 69223 2109287 14765009 23202157 61169323 65387897 162415099 428185261 457715279 672862553 719266867 1896249013 4710037871 5034868069 13273743091 20858739143 146011174001