Search a number
-
+
102678069150 = 233523741181277
BaseRepresentation
bin101111110100000010…
…1101111111110011110
3100211000210220100111000
41133220011233332132
53140241041203100
6115100351211130
710263313121166
oct1375005577636
9324023810430
10102678069150
113a600103098
1217a96816aa6
1398b45b7c47
144d809c55a6
152a0e3db900
hex17e816ff9e

102678069150 has 384 divisors, whose sum is σ = 300394523520. Its totient is φ = 25754112000.

The previous prime is 102678069133. The next prime is 102678069227. The reversal of 102678069150 is 51960876201.

It is a super-3 number, since 3×1026780691503 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102678069096 and 102678069105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 370678812 + ... + 370679088.

It is an arithmetic number, because the mean of its divisors is an integer number (782277405).

Almost surely, 2102678069150 is an apocalyptic number.

102678069150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102678069150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150197261760).

102678069150 is an abundant number, since it is smaller than the sum of its proper divisors (197716454370).

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

102678069150 is a wasteful number, since it uses less digits than its factorization.

102678069150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 102678069150 in words is "one hundred two billion, six hundred seventy-eight million, sixty-nine thousand, one hundred fifty".