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1332123040100 = 225230494369049
BaseRepresentation
bin10011011000101000101…
…110000111100101100100
311201100102221111222010002
4103120220232013211210
5133311141444240400
62455545135520432
7165146152004456
oct23305056074544
94640387458102
101332123040100
11473a4a800716
12196211389118
1398807286488
144869195a2d6
15249b9117ed5
hex13628b87964

1332123040100 has 36 divisors (see below), whose sum is σ = 2891655742500. Its totient is φ = 532674332160.

The previous prime is 1332123040067. The next prime is 1332123040109. The reversal of 1332123040100 is 10403212331.

It can be written as a sum of positive squares in 6 ways, for example, as 348959569984 + 983163470116 = 590728^2 + 991546^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1332123040109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1879625 + ... + 2489424.

It is an arithmetic number, because the mean of its divisors is an integer number (80323770625).

Almost surely, 21332123040100 is an apocalyptic number.

1332123040100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332123040100 is an abundant number, since it is smaller than the sum of its proper divisors (1559532702400).

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

1332123040100 is a wasteful number, since it uses less digits than its factorization.

1332123040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372112 (or 4372105 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1332123040100 its reverse (10403212331), we get a palindrome (1342526252431).

The spelling of 1332123040100 in words is "one trillion, three hundred thirty-two billion, one hundred twenty-three million, forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3049 6098 12196 15245 30490 60980 76225 152450 304900 4369049 8738098 17476196 21845245 43690490 87380980 109226225 218452450 436904900 13321230401 26642460802 53284921604 66606152005 133212304010 266424608020 333030760025 666061520050 1332123040100