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101213320100 = 22521012133201
BaseRepresentation
bin101111001000011001…
…0001011001110100100
3100200020201201101112012
41132100302023032210
53124241102220400
6114255144413352
710212106011614
oct1362062131644
9320221641465
10101213320100
1139a1930a492
1217748177258
13970ccb8a29
144c8225aa44
152975a06d35
hex1790c8b3a4

101213320100 has 18 divisors (see below), whose sum is σ = 219632904834. Its totient is φ = 40485328000.

The previous prime is 101213320097. The next prime is 101213320127. The reversal of 101213320100 is 1023312101.

It can be written as a sum of positive squares in 3 ways, for example, as 14258176 + 101199061924 = 3776^2 + 318118^2 .

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 5 ways as a sum of consecutive naturals, for example, 506066501 + ... + 506066700.

Almost surely, 2101213320100 is an apocalyptic number.

101213320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101213320100 is an abundant number, since it is smaller than the sum of its proper divisors (118419584734).

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

101213320100 is a wasteful number, since it uses less digits than its factorization.

101213320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012133215 (or 1012133208 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 101213320100 its reverse (1023312101), we get a palindrome (102236632201).

The spelling of 101213320100 in words is "one hundred one billion, two hundred thirteen million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1012133201 2024266402 4048532804 5060666005 10121332010 20242664020 25303330025 50606660050 101213320100