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1000500500061 = 32413537680973
BaseRepresentation
bin11101000111100100111…
…10100001011001011101
310112122110121012110111100
432203302132201121131
5112343011112000221
62043342405543313
7132166222634616
oct16436236413135
93478417173440
101000500500061
113563454a4007
12141aa1714b39
1373467b9741a
14365d2accc0d
151b05a67c926
hexe8f27a165d

1000500500061 has 24 divisors (see below), whose sum is σ = 1484609378616. Its totient is φ = 648888514560.

The previous prime is 1000500500059. The next prime is 1000500500063. The reversal of 1000500500061 is 1600050050001.

1000500500061 is a `hidden beast` number, since 100 + 0 + 5 + 0 + 0 + 500 + 0 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (1000500500059) and next prime (1000500500063).

It can be written as a sum of positive squares in 4 ways, for example, as 93272824836 + 907227675225 = 305406^2 + 952485^2 .

It is not a de Polignac number, because 1000500500061 - 21 = 1000500500059 is a prime.

It is a super-2 number, since 2×10005005000612 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000500500063) 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, 3710230 + ... + 3970743.

It is an arithmetic number, because the mean of its divisors is an integer number (61858724109).

Almost surely, 21000500500061 is an apocalyptic number.

It is an amenable number.

1000500500061 is a deficient number, since it is larger than the sum of its proper divisors (484108878555).

1000500500061 is a wasteful number, since it uses less digits than its factorization.

1000500500061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7681373 (or 7681370 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 1000500500061 its reverse (1600050050001), we get a palindrome (2600550550062).

The spelling of 1000500500061 in words is "one trillion, five hundred million, five hundred thousand, sixty-one".

Divisors: 1 3 9 41 123 353 369 1059 3177 14473 43419 130257 7680973 23042919 69128757 314919893 944759679 2711383469 2834279037 8134150407 24402451221 111166722229 333500166687 1000500500061