Search a number
-
+
10103031000 = 2332531995641
BaseRepresentation
bin10010110100011000…
…00000010011011000
3222002002122011002100
421122030000103120
5131142333443000
64350303003400
7505235226606
oct113214002330
928062564070
1010103031000
1143149967a7
121b5b599560
13c5015276a
146bbb02876
153e1e60a00
hex25a3004d8

10103031000 has 192 divisors, whose sum is σ = 34325928000. Its totient is φ = 2680128000.

The previous prime is 10103030989. The next prime is 10103031011. The reversal of 10103031000 is 13030101.

It is an interprime number because it is at equal distance from previous prime (10103030989) and next prime (10103031011).

It is a super-2 number, since 2×101030310002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1788180 + ... + 1793820.

It is an arithmetic number, because the mean of its divisors is an integer number (178780875).

Almost surely, 210103031000 is an apocalyptic number.

10103031000 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 10103031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17162964000).

10103031000 is an abundant number, since it is smaller than the sum of its proper divisors (24222897000).

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

10103031000 is a wasteful number, since it uses less digits than its factorization.

10103031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5867 (or 5850 counting only the distinct ones).

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

Adding to 10103031000 its reverse (13030101), we get a palindrome (10116061101).

The spelling of 10103031000 in words is "ten billion, one hundred three million, thirty-one thousand".