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100102302000 = 24325323241793
BaseRepresentation
bin101110100111010001…
…1111110100100110000
3100120101022010211012200
41131032203332210300
53120002142131000
6113553015423200
710142425346031
oct1351643764460
9316338124180
10100102302000
11394a915a108
1217498084b00
139593a7ac7c
144bb8890a88
15290d1e6500
hex174e8fe930

100102302000 has 240 divisors, whose sum is σ = 364826524608. Its totient is φ = 25533235200.

The previous prime is 100102301989. The next prime is 100102302007. The reversal of 100102302000 is 203201001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100102302007) 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, 293104 + ... + 534896.

Almost surely, 2100102302000 is an apocalyptic number.

100102302000 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 100102302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182413262304).

100102302000 is an abundant number, since it is smaller than the sum of its proper divisors (264724222608).

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

100102302000 is a wasteful number, since it uses less digits than its factorization.

100102302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241845 (or 241826 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100102302000 its reverse (203201001), we get a palindrome (100305503001).

The spelling of 100102302000 in words is "one hundred billion, one hundred two million, three hundred two thousand".