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13214130100 = 2252132141301
BaseRepresentation
bin11000100111001111…
…11001111110110100
31021002220201100201221
430103213321332310
5204030304130400
610023120400124
7645313152433
oct142347717664
937086640657
1013214130100
115671039586
122689476044
1313278656c2
148d4d8911a
1552514cc1a
hex3139f9fb4

13214130100 has 18 divisors (see below), whose sum is σ = 28674662534. Its totient is φ = 5285652000.

The previous prime is 13214130067. The next prime is 13214130119. The reversal of 13214130100 is 103141231.

It can be written as a sum of positive squares in 3 ways, for example, as 783664036 + 12430466064 = 27994^2 + 111492^2 .

It is a super-2 number, since 2×132141301002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66070551 + ... + 66070750.

Almost surely, 213214130100 is an apocalyptic number.

13214130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13214130100 is an abundant number, since it is smaller than the sum of its proper divisors (15460532434).

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

13214130100 is a wasteful number, since it uses less digits than its factorization.

13214130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132141315 (or 132141308 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13214130100 its reverse (103141231), we get a palindrome (13317271331).

The spelling of 13214130100 in words is "thirteen billion, two hundred fourteen million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 132141301 264282602 528565204 660706505 1321413010 2642826020 3303532525 6607065050 13214130100