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1213141024100 = 225212131410241
BaseRepresentation
bin10001101001110100110…
…101101111110101100100
311021222022212212022010202
4101221310311233311210
5124334003100232400
62325150450210032
7153434523364445
oct21516465576544
94258285768122
101213141024100
11428543532a95
12177146583918
138a524c64c05
1442a058c32cc
15218536e74d5
hex11a74d6fd64

1213141024100 has 18 divisors (see below), whose sum is σ = 2632516022514. Its totient is φ = 485256409600.

The previous prime is 1213141024063. The next prime is 1213141024127. The reversal of 1213141024100 is 14201413121.

It can be written as a sum of positive squares in 3 ways, for example, as 368330037604 + 844810986496 = 606902^2 + 919136^2 .

It is a super-2 number, since 2×12131410241002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6065705021 + ... + 6065705220.

Almost surely, 21213141024100 is an apocalyptic number.

1213141024100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1213141024100 is an abundant number, since it is smaller than the sum of its proper divisors (1419374998414).

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

1213141024100 is a wasteful number, since it uses less digits than its factorization.

1213141024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12131410255 (or 12131410248 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1213141024100 its reverse (14201413121), we get a palindrome (1227342437221).

The spelling of 1213141024100 in words is "one trillion, two hundred thirteen billion, one hundred forty-one million, twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 12131410241 24262820482 48525640964 60657051205 121314102410 242628204820 303285256025 606570512050 1213141024100