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1132401330100 = 225220815441621
BaseRepresentation
bin10000011110101000011…
…000010000011110110100
311000020220222212212201201
4100132220120100132310
5122023124220030400
62224115030302244
7144545650326535
oct20365030203664
94006828785651
101132401330100
113a7281035957
12163572ab7984
1382a28803551
143cb467da68c
151e6ca31506a
hex107a86107b4

1132401330100 has 36 divisors (see below), whose sum is σ = 2458492169868. Its totient is φ = 452742784000.

The previous prime is 1132401330059. The next prime is 1132401330131. The reversal of 1132401330100 is 10331042311.

It can be written as a sum of positive squares in 6 ways, for example, as 4468120336 + 1127933209764 = 66844^2 + 1062042^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2512711 + ... + 2928910.

It is an arithmetic number, because the mean of its divisors is an integer number (68291449163).

Almost surely, 21132401330100 is an apocalyptic number.

1132401330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132401330100 is an abundant number, since it is smaller than the sum of its proper divisors (1326090839768).

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

1132401330100 is a wasteful number, since it uses less digits than its factorization.

1132401330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5443716 (or 5443709 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1132401330100 its reverse (10331042311), we get a palindrome (1142732372411).

The spelling of 1132401330100 in words is "one trillion, one hundred thirty-two billion, four hundred one million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2081 4162 8324 10405 20810 41620 52025 104050 208100 5441621 10883242 21766484 27208105 54416210 108832420 136040525 272081050 544162100 11324013301 22648026602 45296053204 56620066505 113240133010 226480266020 283100332525 566200665050 1132401330100