Search a number
-
+
102000140000 = 255411541857
BaseRepresentation
bin101111011111110101…
…1101001111011100000
3100202021120020222111222
41132333223221323200
53132344013440000
6114505212554212
710240441612313
oct1367753517340
9322246228458
10102000140000
113a292468970
1217927782968
139807005735
144d1895497a
1529beb28a85
hex17bfae9ee0

102000140000 has 240 divisors, whose sum is σ = 274573995696. Its totient is φ = 36979200000.

The previous prime is 102000139973. The next prime is 102000140041. The reversal of 102000140000 is 41000201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 102000140000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119019572 + ... + 119020428.

Almost surely, 2102000140000 is an apocalyptic number.

102000140000 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 102000140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137286997848).

102000140000 is an abundant number, since it is smaller than the sum of its proper divisors (172573855696).

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

102000140000 is an equidigital number, since it uses as much as digits as its factorization.

102000140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 102000140000 its reverse (41000201), we get a palindrome (102041140201).

The spelling of 102000140000 in words is "one hundred two billion, one hundred forty thousand".