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230402130000 = 24354753127163
BaseRepresentation
bin1101011010010100001…
…0011000000001010000
3211000201010020220112020
43112211002120001100
512233330421130000
6253502325131440
722434402535350
oct3264502300120
9730633226466
10230402130000
1189792aa5479
12387a1259b80
131895aac0203
14b219ac6b60
155ed7532ba0
hex35a5098050

230402130000 has 800 divisors, whose sum is σ = 878234075136. Its totient is φ = 50948352000.

The previous prime is 230402129989. The next prime is 230402130031. The reversal of 230402130000 is 31204032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1413509919 + ... + 1413510081.

Almost surely, 2230402130000 is an apocalyptic number.

230402130000 is a gapful number since it is divisible by the number (20) 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 230402130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439117037568).

230402130000 is an abundant number, since it is smaller than the sum of its proper divisors (647831945136).

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

230402130000 is a wasteful number, since it uses less digits than its factorization.

230402130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 230402130000 its reverse (31204032), we get a palindrome (230433334032).

The spelling of 230402130000 in words is "two hundred thirty billion, four hundred two million, one hundred thirty thousand".