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12220233022100 = 2252245741497281
BaseRepresentation
bin1011000111010011111010…
…1001011111101010010100
31121021020120001100210202202
42301310332221133222110
53100204014123201400
641553521512024032
72400611523554105
oct261647651375224
947236501323682
1012220233022100
113991631a61a74
121454443392018
136a849476338c
14303668cc23ac
15162d227de4d5
hexb1d3ea5fa94

12220233022100 has 36 divisors (see below), whose sum is σ = 26518066893948. Its totient is φ = 4888063488000.

The previous prime is 12220233022057. The next prime is 12220233022111. The reversal of 12220233022100 is 122033202221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 279255174916 + 11940977847184 = 528446^2 + 3455572^2 .

It is a super-2 number, since 2×122202330221002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24325460 + ... + 24822740.

Almost surely, 212220233022100 is an apocalyptic number.

12220233022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220233022100 is an abundant number, since it is smaller than the sum of its proper divisors (14297833871848).

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

12220233022100 is a wasteful number, since it uses less digits than its factorization.

12220233022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743036 (or 743029 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12220233022100 its reverse (122033202221), we get a palindrome (12342266224321).

The spelling of 12220233022100 in words is "twelve trillion, two hundred twenty billion, two hundred thirty-three million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 245741 491482 497281 982964 994562 1228705 1989124 2457410 2486405 4914820 4972810 6143525 9945620 12287050 12432025 24574100 24864050 49728100 122202330221 244404660442 488809320884 611011651105 1222023302210 2444046604420 3055058255525 6110116511050 12220233022100