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10230120000 = 263254157181
BaseRepresentation
bin10011000011100001…
…10011111001000000
3222101221202221102100
421201300303321000
5131422402320000
64411042550400
7511340404512
oct114160637100
928357687370
1010230120000
11437a6aa631
121b96068400
13c7058c259
146d0945bb2
153ed1b6a00
hex261c33e40

10230120000 has 420 divisors, whose sum is σ = 37078877836. Its totient is φ = 2695680000.

The previous prime is 10230119993. The next prime is 10230120007. The reversal of 10230120000 is 2103201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10230119993) and next prime (10230120007).

It can be written as a sum of positive squares in 10 ways, for example, as 10199384064 + 30735936 = 100992^2 + 5544^2 .

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 (10230120007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 56519910 + ... + 56520090.

Almost surely, 210230120000 is an apocalyptic number.

10230120000 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 10230120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18539438918).

10230120000 is an abundant number, since it is smaller than the sum of its proper divisors (26848757836).

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

10230120000 is a wasteful number, since it uses less digits than its factorization.

10230120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 348 counting only the distinct ones).

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

Adding to 10230120000 its reverse (2103201), we get a palindrome (10232223201).

The spelling of 10230120000 in words is "ten billion, two hundred thirty million, one hundred twenty thousand".