Search a number
-
+
10012401000 = 2332537158927
BaseRepresentation
bin10010101001100100…
…10001110101101000
3221211210002200002200
421110302101311220
5131001133313000
64333304300200
7503055001320
oct112462216550
927753080080
1010012401000
114278815078
121b35171660
13c3743cb44
146ada70280
153d900c500
hex254c91d68

10012401000 has 192 divisors, whose sum is σ = 38676718080. Its totient is φ = 2288534400.

The previous prime is 10012400989. The next prime is 10012401011. The reversal of 10012401000 is 10421001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10012400989) and next prime (10012401011).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 16464 + ... + 142463.

It is an arithmetic number, because the mean of its divisors is an integer number (201441240).

Almost surely, 210012401000 is an apocalyptic number.

10012401000 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 10012401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19338359040).

10012401000 is an abundant number, since it is smaller than the sum of its proper divisors (28664317080).

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

10012401000 is a wasteful number, since it uses less digits than its factorization.

10012401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158961 (or 158944 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10012401000 its reverse (10421001), we get a palindrome (10022822001).

The spelling of 10012401000 in words is "ten billion, twelve million, four hundred one thousand".