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12200102100 = 22325213555669
BaseRepresentation
bin10110101110010111…
…01100100011010100
31011111020122101211100
423113023230203110
5144441211231400
65334334310100
7611221104534
oct132713544324
934436571740
1012200102100
1151a070430a
122445958330
1311c5756434
1483a4294c4
154b60ea100
hex2d72ec8d4

12200102100 has 54 divisors (see below), whose sum is σ = 38240545070. Its totient is φ = 3253360320.

The previous prime is 12200102087. The next prime is 12200102107. The reversal of 12200102100 is 120100221.

It can be written as a sum of positive squares in 3 ways, for example, as 3992004 + 12196110096 = 1998^2 + 110436^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200102107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6776935 + ... + 6778734.

Almost surely, 212200102100 is an apocalyptic number.

12200102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200102100 is an abundant number, since it is smaller than the sum of its proper divisors (26040442970).

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

12200102100 is a wasteful number, since it uses less digits than its factorization.

12200102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13555689 (or 13555679 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12200102100 its reverse (120100221), we get a palindrome (12320202321).

The spelling of 12200102100 in words is "twelve billion, two hundred million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 13555669 27111338 40667007 54222676 67778345 81334014 122001021 135556690 162668028 203335035 244002042 271113380 338891725 406670070 488004084 610005105 677783450 813340140 1016675175 1220010210 1355566900 2033350350 2440020420 3050025525 4066700700 6100051050 12200102100