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100274253103341 = 3218161555710929
BaseRepresentation
bin10110110011001011101011…
…001111001000000011101101
3111011001010101002220200121200
4112303023223033020003231
5101120343132243301331
6553133204514320113
730056401320101142
oct2663135317100355
9434033332820550
10100274253103341
1129a50087806989
12b2b59a4589039
1343c4a8aa8c255
141aa942a7063c9
15b8d56b9235e6
hex5b32eb3c80ed

100274253103341 has 12 divisors (see below), whose sum is σ = 145640812060380. Its totient is φ = 66480167802240.

The previous prime is 100274253103337. The next prime is 100274253103351. The reversal of 100274253103341 is 143301352472001.

100274253103341 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 7 + 4 + 2 + 5 + 310 + 334 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39667701132900 + 60606551970441 = 6298230^2 + 7785021^2 .

It is not a de Polignac number, because 100274253103341 - 22 = 100274253103337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100274253103296 and 100274253103305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100274253103351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30777853836 + ... + 30777857093.

It is an arithmetic number, because the mean of its divisors is an integer number (12136734338365).

Almost surely, 2100274253103341 is an apocalyptic number.

It is an amenable number.

100274253103341 is a deficient number, since it is larger than the sum of its proper divisors (45366558957039).

100274253103341 is a wasteful number, since it uses less digits than its factorization.

100274253103341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61555711116 (or 61555711113 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 100274253103341 in words is "one hundred trillion, two hundred seventy-four billion, two hundred fifty-three million, one hundred three thousand, three hundred forty-one".

Divisors: 1 3 9 181 543 1629 61555710929 184667132787 554001398361 11141583678149 33424751034447 100274253103341