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1010346430101 = 337431012095837
BaseRepresentation
bin11101011001111010101…
…01110000111010010101
310120120212210001112100220
432230331111300322111
5113023142141230401
62052051410224553
7132665216646201
oct16547525607225
93516783045326
101010346430101
1135a538246a78
1214398ab85159
137437698c328
1436c885c7b01
151b434c55336
hexeb3d570e95

1010346430101 has 32 divisors (see below), whose sum is σ = 1429730383488. Its totient is φ = 633780806400.

The previous prime is 1010346430033. The next prime is 1010346430103.

1010346430101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1010346430101 - 210 = 1010346429077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010346430103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565846 + ... + 1529991.

It is an arithmetic number, because the mean of its divisors is an integer number (44679074484).

Almost surely, 21010346430101 is an apocalyptic number.

It is an amenable number.

1010346430101 is a deficient number, since it is larger than the sum of its proper divisors (419383953387).

1010346430101 is a wasteful number, since it uses less digits than its factorization.

1010346430101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096021.

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 1010346430101 in words is "one trillion, ten billion, three hundred forty-six million, four hundred thirty thousand, one hundred one".

Divisors: 1 3 37 43 101 111 129 303 1591 3737 4343 4773 11211 13029 160691 482073 2095837 6287511 77545969 90120991 211679537 232637907 270362973 635038611 3334476667 7832142869 9102220091 10003430001 23496428607 27306660273 336782143367 1010346430101