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107217396620880 = 243575133773757
BaseRepresentation
bin11000011000001101111110…
…110101101101111001010000
3112001121212211201101002122020
4120120031332311231321100
5103023122212013332010
61020010554140211440
731404126016200000
oct3030157665557120
9461555751332566
10107217396620880
1131187708271447
1210037549239b80
1347a9731cb1340
141c694c7770000
15c5de85862470
hex61837ed6de50

107217396620880 has 1920 divisors, whose sum is σ = 435330195084288. Its totient is φ = 21680107094016.

The previous prime is 107217396620879. The next prime is 107217396620881. The reversal of 107217396620880 is 88026693712701.

It is an interprime number because it is at equal distance from previous prime (107217396620879) and next prime (107217396620881).

It is a super-2 number, since 2×1072173966208802 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107217396620881) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 141634605462 + ... + 141634606218.

Almost surely, 2107217396620880 is an apocalyptic number.

107217396620880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107217396620880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217665097542144).

107217396620880 is an abundant number, since it is smaller than the sum of its proper divisors (328112798463408).

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

107217396620880 is an equidigital number, since it uses as much as digits as its factorization.

107217396620880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The spelling of 107217396620880 in words is "one hundred seven trillion, two hundred seventeen billion, three hundred ninety-six million, six hundred twenty thousand, eight hundred eighty".