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103102100010 = 232572133495153
BaseRepresentation
bin110000000000101011…
…1010011001000101010
3100212010100210100110200
41200001113103020222
53142123114200020
6115210415453030
710306652250600
oct1400127231052
9325110710420
10103102100010
113a7a84a1818
1217b94827176
1399513c1590
144dc1043870
152a3674a590
hex18015d322a

103102100010 has 288 divisors, whose sum is σ = 336845854800. Its totient is φ = 21686870016.

The previous prime is 103102099999. The next prime is 103102100011. The reversal of 103102100010 is 10001201301.

It can be written as a sum of positive squares in 8 ways, for example, as 43546090329 + 59556009681 = 208677^2 + 244041^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 103102099965 and 103102100001.

It is not an unprimeable number, because it can be changed into a prime (103102100011) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20005594 + ... + 20010746.

Almost surely, 2103102100010 is an apocalyptic number.

103102100010 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 103102100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168422927400).

103102100010 is an abundant number, since it is smaller than the sum of its proper divisors (233743754790).

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

103102100010 is a wasteful number, since it uses less digits than its factorization.

103102100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5542 (or 5532 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 103102100010 its reverse (10001201301), we get a palindrome (113103301311).

The spelling of 103102100010 in words is "one hundred three billion, one hundred two million, one hundred thousand, ten".