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221300323413100 = 225231541131954161
BaseRepresentation
bin110010010100010101111111…
…001010100110110001101100
31002000120002211001000002211021
4302110111333022212301230
5213001241030243204400
62102355544243103524
764420264213103341
oct6224257712466154
91060502731002737
10221300323413100
1164570a38308628
12209a159a671ba4
1396636b9674939
143c90dc83767c8
151a8b7e143171a
hexc9457f2a6c6c

221300323413100 has 72 divisors (see below), whose sum is σ = 496629017902976. Its totient is φ = 85506295680000.

The previous prime is 221300323413011. The next prime is 221300323413151. The reversal of 221300323413100 is 1314323003122.

It is a super-2 number, since 2×2213003234131002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 64299981 + ... + 67654180.

Almost surely, 2221300323413100 is an apocalyptic number.

221300323413100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221300323413100 is an abundant number, since it is smaller than the sum of its proper divisors (275328694489876).

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

221300323413100 is a wasteful number, since it uses less digits than its factorization.

221300323413100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131954747 (or 131954740 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 221300323413100 its reverse (1314323003122), we get a palindrome (222614646416222).

The spelling of 221300323413100 in words is "two hundred twenty-one trillion, three hundred billion, three hundred twenty-three million, four hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 541 620 775 1082 1550 2164 2705 3100 5410 10820 13525 16771 27050 33542 54100 67084 83855 167710 335420 419275 838550 1677100 131954161 263908322 527816644 659770805 1319541610 2639083220 3298854025 4090578991 6597708050 8181157982 13195416100 16362315964 20452894955 40905789910 71387201101 81811579820 102264474775 142774402202 204528949550 285548804404 356936005505 409057899100 713872011010 1427744022020 1784680027525 2213003234131 3569360055050 4426006468262 7138720110100 8852012936524 11065016170655 22130032341310 44260064682620 55325080853275 110650161706550 221300323413100