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10120110030 = 2345171947823
BaseRepresentation
bin10010110110011010…
…01001111111001110
3222010021202212010000
421123031021333032
5131211222010110
64352113025130
7505533341652
oct113315117716
928107685100
1010120110030
1143235a14a8
121b652551a6
13c538524b4
146c00aaa62
153e36d61c0
hex25b349fce

10120110030 has 320 divisors, whose sum is σ = 31011932160. Its totient is φ = 2352208896.

The previous prime is 10120110001. The next prime is 10120110041. The reversal of 10120110030 is 3001102101.

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 = 10120109994 and 10120110021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12296199 + ... + 12297021.

It is an arithmetic number, because the mean of its divisors is an integer number (96912288).

Almost surely, 210120110030 is an apocalyptic number.

10120110030 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 10120110030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15505966080).

10120110030 is an abundant number, since it is smaller than the sum of its proper divisors (20891822130).

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

10120110030 is a wasteful number, since it uses less digits than its factorization.

10120110030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 916 counting only the distinct ones).

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

Adding to 10120110030 its reverse (3001102101), we get a palindrome (13121212131).

The spelling of 10120110030 in words is "ten billion, one hundred twenty million, one hundred ten thousand, thirty".