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12213465400 = 23524110114747
BaseRepresentation
bin10110101111111101…
…01011000100111000
31011112011210022211101
423113332223010320
5200003121343100
65335532541144
7611442512563
oct132776530470
934464708741
1012213465400
1151a8201364
12244a3217b4
1311c8454b06
1483c1074da
154b738986a
hex2d7fab138

12213465400 has 96 divisors (see below), whose sum is σ = 29378900880. Its totient is φ = 4718720000.

The previous prime is 12213465389. The next prime is 12213465401. The reversal of 12213465400 is 456431221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12213465401) 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, 820827 + ... + 835573.

Almost surely, 212213465400 is an apocalyptic number.

12213465400 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 12213465400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14689450440).

12213465400 is an abundant number, since it is smaller than the sum of its proper divisors (17165435480).

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

12213465400 is a wasteful number, since it uses less digits than its factorization.

12213465400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14905 (or 14896 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 12213465400 its reverse (456431221), we get a palindrome (12669896621).

The spelling of 12213465400 in words is "twelve billion, two hundred thirteen million, four hundred sixty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 101 164 200 202 205 328 404 410 505 808 820 1010 1025 1640 2020 2050 2525 4040 4100 4141 5050 8200 8282 10100 14747 16564 20200 20705 29494 33128 41410 58988 73735 82820 103525 117976 147470 165640 207050 294940 368675 414100 589880 604627 737350 828200 1209254 1474700 1489447 2418508 2949400 2978894 3023135 4837016 5957788 6046270 7447235 11915576 12092540 14894470 15115675 24185080 29788940 30231350 37236175 59577880 60462700 61067327 74472350 120925400 122134654 148944700 244269308 297889400 305336635 488538616 610673270 1221346540 1526683175 2442693080 3053366350 6106732700 12213465400