Search a number
-
+
12300212002100 = 22521197115278463
BaseRepresentation
bin1011001011111101110111…
…0001000101110100110100
31121112212222220220221202012
42302333131301011310310
53103011313233031400
642054350035103352
72406442501640651
oct262773561056464
947485886827665
1012300212002100
113a12544011450
121467a44141b58
136b2b9c418709
14307494d48c28
15164e54009d35
hexb2fddc45d34

12300212002100 has 72 divisors (see below), whose sum is σ = 29418141785088. Its totient is φ = 4426692940800.

The previous prime is 12300212002097. The next prime is 12300212002153. The reversal of 12300212002100 is 120021200321.

It is a happy number.

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, 57532532 + ... + 57745931.

Almost surely, 212300212002100 is an apocalyptic number.

12300212002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12300212002100 is an abundant number, since it is smaller than the sum of its proper divisors (17117929782988).

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

12300212002100 is a wasteful number, since it uses less digits than its factorization.

12300212002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115278585 (or 115278578 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12300212002100 its reverse (120021200321), we get a palindrome (12420233202421).

The spelling of 12300212002100 in words is "twelve trillion, three hundred billion, two hundred twelve million, two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 97 100 110 194 220 275 388 485 550 970 1067 1100 1940 2134 2425 4268 4850 5335 9700 10670 21340 26675 53350 106700 115278463 230556926 461113852 576392315 1152784630 1268063093 2305569260 2536126186 2881961575 5072252372 5763923150 6340315465 11182010911 11527846300 12680630930 22364021822 25361261860 31701577325 44728043644 55910054555 63403154650 111820109110 123002120021 126806309300 223640218220 246004240042 279550272775 492008480084 559100545550 615010600105 1118201091100 1230021200210 2460042400420 3075053000525 6150106001050 12300212002100