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12211102103100 = 22352129193150683
BaseRepresentation
bin1011000110110001111001…
…1001110011011000111100
31121020100222200221001122120
42301230132121303120330
53100031314114244400
641545411452442540
72400136331204025
oct261543631633074
947210880831576
1012211102103100
11398877688141a
121452715479450
136a766ab35224
1430304034bc4c
1516298ada1ca0
hexb1b1e67363c

12211102103100 has 72 divisors (see below), whose sum is σ = 35333534759040. Its totient is φ = 3256040806080.

The previous prime is 12211102103033. The next prime is 12211102103119. The reversal of 12211102103100 is 130120111221.

It is a super-2 number, since 2×122111021031002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12211102103100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2300359 + ... + 5451041.

It is an arithmetic number, because the mean of its divisors is an integer number (490743538320).

Almost surely, 212211102103100 is an apocalyptic number.

12211102103100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211102103100 is an abundant number, since it is smaller than the sum of its proper divisors (23122432655940).

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

12211102103100 is a wasteful number, since it uses less digits than its factorization.

12211102103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3163619 (or 3163612 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12211102103100 its reverse (130120111221), we get a palindrome (12341222214321).

The spelling of 12211102103100 in words is "twelve trillion, two hundred eleven billion, one hundred two million, one hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 12919 25838 38757 51676 64595 77514 129190 155028 193785 258380 322975 387570 645950 775140 968925 1291900 1937850 3150683 3875700 6301366 9452049 12602732 15753415 18904098 31506830 37808196 47260245 63013660 78767075 94520490 157534150 189040980 236301225 315068300 472602450 945204900 40703673677 81407347354 122111021031 162814694708 203518368385 244222042062 407036736770 488444084124 610555105155 814073473540 1017591841925 1221110210310 2035183683850 2442220420620 3052775525775 4070367367700 6105551051550 12211102103100