Search a number
-
+
12254617126100 = 22521071191144019
BaseRepresentation
bin1011001001010100000000…
…0110011100010011010100
31121101112022100010021020002
42302111000012130103110
53101234423441013400
642021405434430432
72403236556614216
oct262250006342324
947345270107202
1012254617126100
1139a5176988248
12145b03a592418
136ab7b41b404b
143051ab6a85b6
15163b86261ed5
hexb254019c4d4

12254617126100 has 36 divisors (see below), whose sum is σ = 26592790660800. Its totient is φ = 4901796804960.

The previous prime is 12254617126057. The next prime is 12254617126163. The reversal of 12254617126100 is 162171645221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10139891 + ... + 11283909.

Almost surely, 212254617126100 is an apocalyptic number.

12254617126100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12254617126100 is an abundant number, since it is smaller than the sum of its proper divisors (14338173534700).

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

12254617126100 is a wasteful number, since it uses less digits than its factorization.

12254617126100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251152 (or 1251145 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 12254617126100 in words is "twelve trillion, two hundred fifty-four billion, six hundred seventeen million, one hundred twenty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107119 214238 428476 535595 1071190 1144019 2142380 2288038 2677975 4576076 5355950 5720095 10711900 11440190 22880380 28600475 57200950 114401900 122546171261 245092342522 490184685044 612730856305 1225461712610 2450923425220 3063654281525 6127308563050 12254617126100