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13413410100 = 22325214903789
BaseRepresentation
bin11000111111000000…
…00110010100110100
31021121210200211111200
430133200012110310
5204432313110400
610054555532500
7653253050616
oct143740062464
937553624450
1013413410100
11576357a5a2
12272415a130
131359c2a06c
14913620db6
155378b3b00
hex31f806534

13413410100 has 54 divisors (see below), whose sum is σ = 42043591590. Its totient is φ = 3576909120.

The previous prime is 13413410071. The next prime is 13413410113. The reversal of 13413410100 is 101431431.

It can be written as a sum of positive squares in 3 ways, for example, as 755810064 + 12657600036 = 27492^2 + 112506^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7450995 + ... + 7452794.

Almost surely, 213413410100 is an apocalyptic number.

13413410100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13413410100 is an abundant number, since it is smaller than the sum of its proper divisors (28630181490).

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

13413410100 is a wasteful number, since it uses less digits than its factorization.

13413410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14903809 (or 14903799 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13413410100 its reverse (101431431), we get a palindrome (13514841531).

The spelling of 13413410100 in words is "thirteen billion, four hundred thirteen million, four hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 14903789 29807578 44711367 59615156 74518945 89422734 134134101 149037890 178845468 223556835 268268202 298075780 372594725 447113670 536536404 670670505 745189450 894227340 1117784175 1341341010 1490378900 2235568350 2682682020 3353352525 4471136700 6706705050 13413410100