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100540244405441 is a prime number
BaseRepresentation
bin10110110111000011011001…
…100011011010110011000001
3111011222112221111110212021002
4112313003121203122303001
5101134222410031433231
6553455314535141345
730114535660624001
oct2667033143326301
9434875844425232
10100540244405441
112a042972985085
12b339458514855
134413b9ab7a379
141ab8260c64001
15b954385b60cb
hex5b70d98dacc1

100540244405441 has 2 divisors, whose sum is σ = 100540244405442. Its totient is φ = 100540244405440.

The previous prime is 100540244405429. The next prime is 100540244405449. The reversal of 100540244405441 is 144504442045001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60310134721600 + 40230109683841 = 7765960^2 + 6342721^2 .

It is a cyclic number.

It is not a de Polignac number, because 100540244405441 - 222 = 100540240211137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100540244405395 and 100540244405404.

It is not a weakly prime, because it can be changed into another prime (100540244405449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50270122202720 + 50270122202721.

It is an arithmetic number, because the mean of its divisors is an integer number (50270122202721).

Almost surely, 2100540244405441 is an apocalyptic number.

It is an amenable number.

100540244405441 is a deficient number, since it is larger than the sum of its proper divisors (1).

100540244405441 is an equidigital number, since it uses as much as digits as its factorization.

100540244405441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 204800, while the sum is 38.

The spelling of 100540244405441 in words is "one hundred trillion, five hundred forty billion, two hundred forty-four million, four hundred five thousand, four hundred forty-one".