Search a number
-
+
1006356030350 = 2521117831936719
BaseRepresentation
bin11101010010011110111…
…11100110001110001110
310120012120200102012222112
432221033133212032032
5112442004120432400
62050151422144022
7132464304055526
oct16511737461616
93505520365875
101006356030350
1135887a81a640
12143056722012
1373b8c04c548
14369ca652686
151b29e779835
hexea4f7e638e

1006356030350 has 192 divisors, whose sum is σ = 2199819202560. Its totient is φ = 338458214400.

The previous prime is 1006356030331. The next prime is 1006356030479. The reversal of 1006356030350 is 530306536001.

It is a super-2 number, since 2×10063560303502 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149774291 + ... + 149781009.

It is an arithmetic number, because the mean of its divisors is an integer number (11457391680).

Almost surely, 21006356030350 is an apocalyptic number.

1006356030350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006356030350 is an abundant number, since it is smaller than the sum of its proper divisors (1193463172210).

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

1006356030350 is a wasteful number, since it uses less digits than its factorization.

1006356030350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7035 (or 7030 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 32.

The spelling of 1006356030350 in words is "one trillion, six billion, three hundred fifty-six million, thirty thousand, three hundred fifty".