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214463040100 = 22522144630401
BaseRepresentation
bin1100011110111011111…
…1100100101001100100
3202111120022001020200021
43013232333210221210
512003210014240400
6242304543124524
721331410522451
oct3075677445144
9674508036607
10214463040100
1182a53882301
12356932a3744
13172ba84227a
14a546c8c828
1558a306e71a
hex31eefe4a64

214463040100 has 18 divisors (see below), whose sum is σ = 465384797234. Its totient is φ = 85785216000.

The previous prime is 214463040083. The next prime is 214463040101. The reversal of 214463040100 is 1040364412.

It can be written as a sum of positive squares in 3 ways, for example, as 46743304804 + 167719735296 = 216202^2 + 409536^2 .

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

It is not an unprimeable number, because it can be changed into a prime (214463040101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1072315101 + ... + 1072315300.

Almost surely, 2214463040100 is an apocalyptic number.

214463040100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214463040100 is an abundant number, since it is smaller than the sum of its proper divisors (250921757134).

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

214463040100 is a wasteful number, since it uses less digits than its factorization.

214463040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144630415 (or 2144630408 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The spelling of 214463040100 in words is "two hundred fourteen billion, four hundred sixty-three million, forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2144630401 4289260802 8578521604 10723152005 21446304010 42892608020 53615760025 107231520050 214463040100