Search a number
-
+
203542130000 = 2454116172999
BaseRepresentation
bin1011110110010000001…
…1100110110101010000
3201110101012102112101102
42331210003212311100
511313323241130000
6233301142123532
720463651362426
oct2754403466520
9643335375342
10203542130000
117935a253970
1233545a205a8
131626a1199a1
149bcc6c9116
1554644043d5
hex2f640e6d50

203542130000 has 200 divisors, whose sum is σ = 538646328000. Its totient is φ = 73870720000.

The previous prime is 203542129997. The next prime is 203542130003. The reversal of 203542130000 is 31245302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (203542129997) and next prime (203542130003).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203542130003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67868501 + ... + 67871499.

It is an arithmetic number, because the mean of its divisors is an integer number (2693231640).

Almost surely, 2203542130000 is an apocalyptic number.

203542130000 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 203542130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269323164000).

203542130000 is an abundant number, since it is smaller than the sum of its proper divisors (335104198000).

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

203542130000 is a wasteful number, since it uses less digits than its factorization.

203542130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3655 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 203542130000 its reverse (31245302), we get a palindrome (203573375302).

The spelling of 203542130000 in words is "two hundred three billion, five hundred forty-two million, one hundred thirty thousand".