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140101100001 = 3217729878041
BaseRepresentation
bin1000001001111010101…
…1010010000111100001
3111101121212221021212200
42002132223102013201
54243411340200001
6144210032443413
713056556462332
oct2023653220741
9441555837780
10140101100001
1154464467065
122319b6a9569
13102997cc395
146ad0c28289
15399ea42086
hex209ead21e1

140101100001 has 12 divisors (see below), whose sum is σ = 202379900580. Its totient is φ = 93395358720.

The previous prime is 140101099991. The next prime is 140101100021. The reversal of 140101100001 is 100001101041.

It can be written as a sum of positive squares in 2 ways, for example, as 59231390625 + 80869709376 = 243375^2 + 284376^2 .

It is not a de Polignac number, because 140101100001 - 211 = 140101097953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (140101100021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279460 + ... + 598581.

It is an arithmetic number, because the mean of its divisors is an integer number (16864991715).

Almost surely, 2140101100001 is an apocalyptic number.

It is an amenable number.

140101100001 is a deficient number, since it is larger than the sum of its proper divisors (62278800579).

140101100001 is a wasteful number, since it uses less digits than its factorization.

140101100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895776 (or 895773 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 140101100001 its reverse (100001101041), we get a palindrome (240102201042).

The spelling of 140101100001 in words is "one hundred forty billion, one hundred one million, one hundred thousand, one".

Divisors: 1 3 9 17729 53187 159561 878041 2634123 7902369 15566788889 46700366667 140101100001