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13212301400 = 23521729133999
BaseRepresentation
bin11000100111000001…
…11011100001011000
31021002210021110020022
430103200323201120
5204024322121100
610023013250012
7645261465104
oct142340734130
937083243208
1013212301400
11566aaaa661
122688933908
13132737522c
148d4a30904
15524ddae85
hex31383b858

13212301400 has 96 divisors (see below), whose sum is σ = 33647400000. Its totient is φ = 4802488320.

The previous prime is 13212301393. The next prime is 13212301409. The reversal of 13212301400 is 410321231.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212301409) 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, 31601 + ... + 165599.

It is an arithmetic number, because the mean of its divisors is an integer number (350493750).

Almost surely, 213212301400 is an apocalyptic number.

13212301400 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 13212301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16823700000).

13212301400 is an abundant number, since it is smaller than the sum of its proper divisors (20435098600).

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

13212301400 is a wasteful number, since it uses less digits than its factorization.

13212301400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134061 (or 134052 counting only the distinct ones).

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

Adding to 13212301400 its reverse (410321231), we get a palindrome (13622622631).

The spelling of 13212301400 in words is "thirteen billion, two hundred twelve million, three hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 29 34 40 50 58 68 85 100 116 136 145 170 200 232 290 340 425 493 580 680 725 850 986 1160 1450 1700 1972 2465 2900 3400 3944 4930 5800 9860 12325 19720 24650 49300 98600 133999 267998 535996 669995 1071992 1339990 2277983 2679980 3349975 3885971 4555966 5359960 6699950 7771942 9111932 11389915 13399900 15543884 18223864 19429855 22779830 26799800 31087768 38859710 45559660 56949575 66061507 77719420 91119320 97149275 113899150 132123014 155438840 194298550 227798300 264246028 330307535 388597100 455596600 528492056 660615070 777194200 1321230140 1651537675 2642460280 3303075350 6606150700 13212301400