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107441144701 = 1161163982337
BaseRepresentation
bin110010000001111111…
…1011100001101111101
3101021022202110122210121
41210003333130031331
53230014413112301
6121205140334541
710522330442632
oct1440377341575
9337282418717
10107441144701
11416247a8270
12189a59a4451
13a193331847
1452b3412189
152bdc6433a1
hex1903fdc37d

107441144701 has 16 divisors (see below), whose sum is σ = 119860953408. Its totient is φ = 95483059200.

The previous prime is 107441144651. The next prime is 107441144731.

107441144701 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 107441144701 - 221 = 107439047549 is a prime.

It is a super-2 number, since 2×1074411447012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107441144731) 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, 381796 + ... + 600541.

It is an arithmetic number, because the mean of its divisors is an integer number (7491309588).

Almost surely, 2107441144701 is an apocalyptic number.

107441144701 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

107441144701 is a deficient number, since it is larger than the sum of its proper divisors (12419808707).

107441144701 is a wasteful number, since it uses less digits than its factorization.

107441144701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982572.

The product of its (nonzero) digits is 12544, while the sum is 34.

The spelling of 107441144701 in words is "one hundred seven billion, four hundred forty-one million, one hundred forty-four thousand, seven hundred one".

Divisors: 1 11 61 163 671 1793 9943 109373 982337 10805707 59922557 160120931 659148127 1761330241 9767376791 107441144701