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12204344100 = 223521319164701
BaseRepresentation
bin10110101110110111…
…11000001100100100
31011111112121220202110
423113123320030210
5144443303002400
65335005241020
7611302133064
oct132733701444
934445556673
1012204344100
1151a30413a3
122447263170
1311c65b01b0
1483ac113a4
154b6686e50
hex2d76f8324

12204344100 has 144 divisors (see below), whose sum is σ = 40029174080. Its totient is φ = 2846016000.

The previous prime is 12204344099. The next prime is 12204344101. The reversal of 12204344100 is 144340221.

It is an interprime number because it is at equal distance from previous prime (12204344099) and next prime (12204344101).

It is a super-2 number, since 2×122043441002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12204344101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8251 + ... + 156450.

Almost surely, 212204344100 is an apocalyptic number.

12204344100 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 12204344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20014587040).

12204344100 is an abundant number, since it is smaller than the sum of its proper divisors (27824829980).

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

12204344100 is a wasteful number, since it uses less digits than its factorization.

12204344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164750 (or 164743 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12204344100 its reverse (144340221), we get a palindrome (12348684321).

The spelling of 12204344100 in words is "twelve billion, two hundred four million, three hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 25 26 30 38 39 50 52 57 60 65 75 76 78 95 100 114 130 150 156 190 195 228 247 260 285 300 325 380 390 475 494 570 650 741 780 950 975 988 1140 1235 1300 1425 1482 1900 1950 2470 2850 2964 3705 3900 4940 5700 6175 7410 12350 14820 18525 24700 37050 74100 164701 329402 494103 658804 823505 988206 1647010 1976412 2141113 2470515 3129319 3294020 4117525 4282226 4941030 6258638 6423339 8235050 8564452 9387957 9882060 10705565 12352575 12517276 12846678 15646595 16470100 18775914 21411130 24705150 25693356 31293190 32116695 37551828 40681147 42822260 46939785 49410300 53527825 62586380 64233390 78232975 81362294 93879570 107055650 122043441 128466780 156465950 160583475 162724588 187759140 203405735 214111300 234698925 244086882 312931900 321166950 406811470 469397850 488173764 610217205 642333900 813622940 938795700 1017028675 1220434410 2034057350 2440868820 3051086025 4068114700 6102172050 12204344100