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200105145502542 = 23276340912504587
BaseRepresentation
bin101101011111111010011100…
…000111011000101101001110
3222020111212100122110000100100
4231133322130013120231032
5202212010314222040132
61545331011302311530
760102056022326250
oct5537723407305516
9866455318400310
10200105145502542
115883a12a9a6695
121a5398744285a6
138786aacb12c87
14375b1d81bdcd0
1518202d9dc237c
hexb5fe9c1d8b4e

200105145502542 has 48 divisors (see below), whose sum is σ = 495499434797952. Its totient is φ = 57172785722640.

The previous prime is 200105145502513. The next prime is 200105145502543. The reversal of 200105145502542 is 245205541501002.

200105145502542 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 0 + 5 + 145 + 502 + 5 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 200105145502497 and 200105145502506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200105145502543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78643173 + ... + 81147759.

It is an arithmetic number, because the mean of its divisors is an integer number (10322904891624).

Almost surely, 2200105145502542 is an apocalyptic number.

200105145502542 is an abundant number, since it is smaller than the sum of its proper divisors (295394289295410).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200105145502542 is a wasteful number, since it uses less digits than its factorization.

200105145502542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138693 (or 3138690 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 200105145502542 in words is "two hundred trillion, one hundred five billion, one hundred forty-five million, five hundred two thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 634091 1268182 1902273 2504587 3804546 4438637 5009174 5706819 7513761 8877274 11413638 13315911 15027522 17532109 22541283 26631822 35064218 39947733 45082566 52596327 79895466 105192654 157788981 315577962 1588136075417 3176272150834 4764408226251 9528816452502 11116952527919 14293224678753 22233905055838 28586449357506 33350857583757 66701715167514 100052572751271 200105145502542