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1100332141152 = 25336307315691
BaseRepresentation
bin10000000000110000111…
…010000000101001100000
310220012011001001021201220
4100000300322000221200
5121011440012004102
62201252520255040
7142332153611046
oct20006072005140
93805131037656
101100332141152
11394714898612
12159303011480
137c9b784a7ba
143b383646396
151d94ec0d1bc
hex10030e80a60

1100332141152 has 48 divisors (see below), whose sum is σ = 2888460574272. Its totient is φ = 366766116480.

The previous prime is 1100332141147. The next prime is 1100332141157. The reversal of 1100332141152 is 2511412330011.

It is an interprime number because it is at equal distance from previous prime (1100332141147) and next prime (1100332141157).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100332141157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3327627 + ... + 3643317.

It is an arithmetic number, because the mean of its divisors is an integer number (60176261964).

Almost surely, 21100332141152 is an apocalyptic number.

1100332141152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100332141152 is an abundant number, since it is smaller than the sum of its proper divisors (1788128433120).

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

1100332141152 is a wasteful number, since it uses less digits than its factorization.

1100332141152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352011 (or 352003 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 1100332141152 its reverse (2511412330011), we get a palindrome (3611744471163).

The spelling of 1100332141152 in words is "one trillion, one hundred billion, three hundred thirty-two million, one hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 36307 72614 108921 145228 217842 290456 315691 435684 580912 631382 871368 947073 1161824 1262764 1742736 1894146 2525528 3485472 3788292 5051056 7576584 10102112 15153168 30306336 11461793137 22923586274 34385379411 45847172548 68770758822 91694345096 137541517644 183388690192 275083035288 366777380384 550166070576 1100332141152