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102128780754 = 2327111347831453
BaseRepresentation
bin101111100011101011…
…0011000010111010010
3100202121112022121110100
41133013112120113102
53133124431441004
6114530050113230
710243563212250
oct1370726302722
9322545277410
10102128780754
113a349041640
121796287b816
139827866620
144d2ba7d5d0
1529cb089739
hex17c75985d2

102128780754 has 384 divisors, whose sum is σ = 307290267648. Its totient is φ = 23660398080.

The previous prime is 102128780713. The next prime is 102128780759. The reversal of 102128780754 is 457087821201.

It is not an unprimeable number, because it can be changed into a prime (102128780759) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70287492 + ... + 70288944.

It is an arithmetic number, because the mean of its divisors is an integer number (800235072).

Almost surely, 2102128780754 is an apocalyptic number.

102128780754 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102128780754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153645133824).

102128780754 is an abundant number, since it is smaller than the sum of its proper divisors (205161486894).

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

102128780754 is a wasteful number, since it uses less digits than its factorization.

102128780754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 102128780754 in words is "one hundred two billion, one hundred twenty-eight million, seven hundred eighty thousand, seven hundred fifty-four".