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101014043243301 = 36673274974897
BaseRepresentation
bin10110111101111100101010…
…001010100011001100100101
3111020122211220100120122000000
4112331330222022203030211
5101220003230032241201
6554501113312411513
730164011105403466
oct2675745212431445
9436584810518000
10101014043243301
112a2058a6a86671
12b3b5246846b99
1344497779814b6
141ad316a38ad6d
15ba2918d5bd86
hex5bdf2a2a3325

101014043243301 has 56 divisors (see below), whose sum is σ = 151734023199000. Its totient is φ = 67217273819136.

The previous prime is 101014043243273. The next prime is 101014043243353. The reversal of 101014043243301 is 103342340410101.

101014043243301 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 4 + 0 + 4 + 324 + 330 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8355996174276 + 92658047069025 = 2890674^2 + 9625905^2 .

It is not a de Polignac number, because 101014043243301 - 213 = 101014043235109 is a prime.

It is a super-2 number, since 2×1010140432433012 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101014043243371) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1348668685 + ... + 1348743581.

Almost surely, 2101014043243301 is an apocalyptic number.

It is an amenable number.

101014043243301 is a deficient number, since it is larger than the sum of its proper divisors (50719979955699).

101014043243301 is an frugal number, since it uses more digits than its factorization.

101014043243301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78337 (or 78322 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 101014043243301 its reverse (103342340410101), we get a palindrome (204356383653402).

The spelling of 101014043243301 in words is "one hundred one trillion, fourteen billion, forty-three million, two hundred forty-three thousand, three hundred one".

Divisors: 1 3 9 27 81 243 673 729 2019 2749 6057 8247 18171 24741 54513 74223 74897 163539 222669 224691 490617 668007 674073 1850077 2004021 2022219 5550231 6066657 16650693 18199971 49952079 50405681 54599913 149856237 151217043 205891853 449568711 453651129 617675559 1348706133 1360953387 1853026677 4082860161 5559080031 12248580483 16677240093 36745741449 50031720279 138565217069 150095160837 415695651207 1247086953621 3741260860863 11223782582589 33671347747767 101014043243301