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12453211400 = 2352714959699
BaseRepresentation
bin10111001100100010…
…01110110100001000
31012010212220200111212
423212101032310020
5201001010231100
65415415312252
7620413356530
oct134621166410
935125820455
1012453211400
115310571053
1224b667b688
131236017156
14861cb44c0
154cd445635
hex2e644ed08

12453211400 has 96 divisors (see below), whose sum is σ = 33312600000. Its totient is φ = 4240945920.

The previous prime is 12453211369. The next prime is 12453211403. The reversal of 12453211400 is 411235421.

It is not an unprimeable number, because it can be changed into a prime (12453211403) 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, 178751 + ... + 238449.

It is an arithmetic number, because the mean of its divisors is an integer number (347006250).

Almost surely, 212453211400 is an apocalyptic number.

12453211400 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 12453211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16656300000).

12453211400 is an abundant number, since it is smaller than the sum of its proper divisors (20859388600).

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

12453211400 is a wasteful number, since it uses less digits than its factorization.

12453211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59871 (or 59862 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 12453211400 its reverse (411235421), we get a palindrome (12864446821).

The spelling of 12453211400 in words is "twelve billion, four hundred fifty-three million, two hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 149 175 200 280 298 350 596 700 745 1043 1192 1400 1490 2086 2980 3725 4172 5215 5960 7450 8344 10430 14900 20860 26075 29800 41720 52150 59699 104300 119398 208600 238796 298495 417893 477592 596990 835786 1193980 1492475 1671572 2089465 2387960 2984950 3343144 4178930 5969900 8357860 8895151 10447325 11939800 16715720 17790302 20894650 35580604 41789300 44475755 62266057 71161208 83578600 88951510 124532114 177903020 222378775 249064228 311330285 355806040 444757550 498128456 622660570 889515100 1245321140 1556651425 1779030200 2490642280 3113302850 6226605700 12453211400