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12032202100 = 225247254469
BaseRepresentation
bin10110011010010110…
…01101010101110100
31011001112201012022211
423031023031111310
5144120220431400
65305535503204
7604112013262
oct131513152564
934045635284
1012032202100
115114956586
1223b9687b04
131199a2ac19
14822001432
154a64d1dba
hex2cd2cd574

12032202100 has 54 divisors (see below), whose sum is σ = 26677717430. Its totient is φ = 4710392640.

The previous prime is 12032202097. The next prime is 12032202107. The reversal of 12032202100 is 120223021.

It can be written as a sum of positive squares in 3 ways, for example, as 1611059044 + 10421143056 = 40138^2 + 102084^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032202107) 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, 193666 + ... + 248134.

Almost surely, 212032202100 is an apocalyptic number.

12032202100 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 12032202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13338858715).

12032202100 is an abundant number, since it is smaller than the sum of its proper divisors (14645515330).

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

12032202100 is a wasteful number, since it uses less digits than its factorization.

12032202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54577 (or 54523 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12032202100 its reverse (120223021), we get a palindrome (12152425121).

The spelling of 12032202100 in words is "twelve billion, thirty-two million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2209 2350 4418 4700 8836 11045 22090 44180 54469 55225 108938 110450 217876 220900 272345 544690 1089380 1361725 2560043 2723450 5120086 5446900 10240172 12800215 25600430 51200860 64001075 120322021 128002150 240644042 256004300 481288084 601610105 1203220210 2406440420 3008050525 6016101050 12032202100