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102411300000 = 25355541631
BaseRepresentation
bin101111101100000110…
…0000110110010100000
3100210100012221002000010
41133120030012302200
53134214243100000
6115014101324520
710253563454442
oct1373014066240
9323305832003
10102411300000
113a483566519
1217a21406740
139871253889
144d573c2492
1529e5c93d50
hex17d8306ca0

102411300000 has 288 divisors, whose sum is σ = 337170169728. Its totient is φ = 27216000000.

The previous prime is 102411299959. The next prime is 102411300007. The reversal of 102411300000 is 3114201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (102411300007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162299685 + ... + 162300315.

It is an arithmetic number, because the mean of its divisors is an integer number (1170729756).

Almost surely, 2102411300000 is an apocalyptic number.

102411300000 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 102411300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168585084864).

102411300000 is an abundant number, since it is smaller than the sum of its proper divisors (234758869728).

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

102411300000 is an frugal number, since it uses more digits than its factorization.

102411300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102411300000 its reverse (3114201), we get a palindrome (102414414201).

The spelling of 102411300000 in words is "one hundred two billion, four hundred eleven million, three hundred thousand".