Search a number
-
+
1023000100 = 225243733259
BaseRepresentation
bin111100111110011…
…011111000100100
32122021221210022121
4330332123320210
54043342000400
6245302235324
734231233403
oct7476337044
92567853277
101023000100
11485503131
12246725b44
13133c31005
1499c1763a
155ec2621a
hex3cf9be24

1023000100 has 72 divisors (see below), whose sum is σ = 2303359520. Its totient is φ = 394087680.

The previous prime is 1023000089. The next prime is 1023000101. The reversal of 1023000100 is 10003201.

It is not an unprimeable number, because it can be changed into a prime (1023000101) 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, 312271 + ... + 315529.

Almost surely, 21023000100 is an apocalyptic number.

1023000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151679760).

1023000100 is an abundant number, since it is smaller than the sum of its proper divisors (1280359420).

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

1023000100 is a wasteful number, since it uses less digits than its factorization.

1023000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3389 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 1023000100 is about 31984.3727467024. The cubic root of 1023000100 is about 1007.6086614448.

Adding to 1023000100 its reverse (10003201), we get a palindrome (1033003301).

The spelling of 1023000100 in words is "one billion, twenty-three million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 43 50 73 86 100 146 172 215 292 365 430 730 860 1075 1460 1825 2150 3139 3259 3650 4300 6278 6518 7300 12556 13036 15695 16295 31390 32590 62780 65180 78475 81475 140137 156950 162950 237907 280274 313900 325900 475814 560548 700685 951628 1189535 1401370 2379070 2802740 3503425 4758140 5947675 7006850 10230001 11895350 14013700 20460002 23790700 40920004 51150005 102300010 204600020 255750025 511500050 1023000100