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13212223100 = 22522912913529
BaseRepresentation
bin11000100111000001…
…01000011001111100
31021002210010110211022
430103200220121330
5204024312114400
610023011443312
7645261020606
oct142340503174
937083113738
1013212223100
11566aa5684a
1226888b6538
1313273486bb
148d4a10176
15524dc2b85
hex31382867c

13212223100 has 72 divisors (see below), whose sum is σ = 29690547600. Its totient is φ = 5097254400.

The previous prime is 13212223069. The next prime is 13212223117. The reversal of 13212223100 is 132221231.

It is a super-2 number, since 2×132122231002 (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 23 ways as a sum of consecutive naturals, for example, 3742136 + ... + 3745664.

Almost surely, 213212223100 is an apocalyptic number.

13212223100 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 13212223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14845273800).

13212223100 is an abundant number, since it is smaller than the sum of its proper divisors (16478324500).

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

13212223100 is a wasteful number, since it uses less digits than its factorization.

13212223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4863 (or 4856 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13212223100 its reverse (132221231), we get a palindrome (13344444331).

The spelling of 13212223100 in words is "thirteen billion, two hundred twelve million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1291 1450 2582 2900 3529 5164 6455 7058 12910 14116 17645 25820 32275 35290 37439 64550 70580 74878 88225 102341 129100 149756 176450 187195 204682 352900 374390 409364 511705 748780 935975 1023410 1871950 2046820 2558525 3743900 4555939 5117050 9111878 10234100 18223756 22779695 45559390 91118780 113898475 132122231 227796950 264244462 455593900 528488924 660611155 1321222310 2642444620 3303055775 6606111550 13212223100