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12505414100 = 2252413050101
BaseRepresentation
bin10111010010110000…
…10111100111010100
31012021112010212011012
423221120113213110
5201102341222400
65424522231352
7621616160144
oct135130274724
935245125135
1012505414100
115337a86783
122510055558
131243a9401a
14868bc2924
154d2d07d35
hex2e96179d4

12505414100 has 36 divisors (see below), whose sum is σ = 27798629628. Its totient is φ = 4880160000.

The previous prime is 12505414079. The next prime is 12505414109. The reversal of 12505414100 is 141450521.

It can be written as a sum of positive squares in 6 ways, for example, as 5585170756 + 6920243344 = 74734^2 + 83188^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12505414109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1520951 + ... + 1529150.

Almost surely, 212505414100 is an apocalyptic number.

12505414100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12505414100 is an abundant number, since it is smaller than the sum of its proper divisors (15293215528).

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

12505414100 is a wasteful number, since it uses less digits than its factorization.

12505414100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050156 (or 3050149 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

Adding to 12505414100 its reverse (141450521), we get a palindrome (12646864621).

The spelling of 12505414100 in words is "twelve billion, five hundred five million, four hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 3050101 6100202 12200404 15250505 30501010 61002020 76252525 125054141 152505050 250108282 305010100 500216564 625270705 1250541410 2501082820 3126353525 6252707050 12505414100