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12233103100 = 22521726327361
BaseRepresentation
bin10110110010010011…
…00101011011111100
31011120112202000200121
423121021211123330
5200023133244400
65341513504324
7612101442421
oct133111453374
934515660617
1012233103100
1152082a4469
122454a120a4
1311cc53c35a
14840979d48
154b8e6821a
hex2d92656fc

12233103100 has 72 divisors (see below), whose sum is σ = 28215256608. Its totient is φ = 4587724800.

The previous prime is 12233103097. The next prime is 12233103109. The reversal of 12233103100 is 130133221.

It is a super-2 number, since 2×122331031002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233103109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433420 + ... + 460780.

It is an arithmetic number, because the mean of its divisors is an integer number (391878564).

Almost surely, 212233103100 is an apocalyptic number.

12233103100 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 12233103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14107628304).

12233103100 is an abundant number, since it is smaller than the sum of its proper divisors (15982153508).

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

12233103100 is a wasteful number, since it uses less digits than its factorization.

12233103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27655 (or 27648 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 12233103100 its reverse (130133221), we get a palindrome (12363236321).

The spelling of 12233103100 in words is "twelve billion, two hundred thirty-three million, one hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 263 340 425 526 850 1052 1315 1700 2630 4471 5260 6575 8942 13150 17884 22355 26300 27361 44710 54722 89420 109444 111775 136805 223550 273610 447100 465137 547220 684025 930274 1368050 1860548 2325685 2736100 4651370 7195943 9302740 11628425 14391886 23256850 28783772 35979715 46513700 71959430 122331031 143918860 179898575 244662062 359797150 489324124 611655155 719594300 1223310310 2446620620 3058275775 6116551550 12233103100