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1021355442225 = 325264110916491
BaseRepresentation
bin11101101110011011000…
…01110100000000110001
310121122022000110021220200
432313031201310000301
5113213213443122400
62101112035425413
7133535066005356
oct16671541640061
93548260407820
101021355442225
1136417757a7a8
12145b41a55269
137540c7209a1
143761076262d
151b87b4c4b00
hexedcd874031

1021355442225 has 72 divisors (see below), whose sum is σ = 1834176917664. Its totient is φ = 543290880000.

The previous prime is 1021355442223. The next prime is 1021355442241. The reversal of 1021355442225 is 5222445531201.

1021355442225 is a `hidden beast` number, since 10 + 213 + 5 + 5 + 4 + 422 + 2 + 5 = 666.

It is not a de Polignac number, because 1021355442225 - 21 = 1021355442223 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1021355442225.

It is not an unprimeable number, because it can be changed into a prime (1021355442223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 157346230 + ... + 157352720.

It is an arithmetic number, because the mean of its divisors is an integer number (25474679412).

Almost surely, 21021355442225 is an apocalyptic number.

1021355442225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1021355442225 is a deficient number, since it is larger than the sum of its proper divisors (812821475439).

1021355442225 is a wasteful number, since it uses less digits than its factorization.

1021355442225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8239 (or 8231 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 1021355442225 in words is "one trillion, twenty-one billion, three hundred fifty-five million, four hundred forty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 641 1091 1923 3205 3273 5455 5769 6491 9615 9819 16025 16365 19473 27275 28845 32455 48075 49095 58419 81825 97365 144225 162275 245475 292095 486825 699331 1460475 2097993 3496655 4160731 6293979 7081681 10489965 12482193 17483275 20803655 21245043 31469895 35408405 37446579 52449825 62410965 63735129 104018275 106225215 157349475 177042025 187232895 312054825 318675645 531126075 936164475 1593378225 4539357521 13618072563 22696787605 40854217689 68090362815 113483938025 204271088445 340451814075 1021355442225