Search a number
-
+
210137713800 = 233527233214733
BaseRepresentation
bin1100001110110100101…
…1110000110010001000
3202002101212011220102220
43003231023300302020
511420330223320200
6240311432254040
721116260044630
oct3035513606210
9662355156386
10210137713800
1181134296673
1234886841320
1316a7b6c61b1
14a2566516c0
1556ed4864a0
hex30ed2f0c88

210137713800 has 192 divisors, whose sum is σ = 747686609280. Its totient is φ = 47825111040.

The previous prime is 210137713783. The next prime is 210137713801. The reversal of 210137713800 is 8317731012.

It is a super-2 number, since 2×2101377138002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (210137713801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 871234 + ... + 1085966.

It is an arithmetic number, because the mean of its divisors is an integer number (3894201090).

Almost surely, 2210137713800 is an apocalyptic number.

210137713800 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 210137713800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373843304640).

210137713800 is an abundant number, since it is smaller than the sum of its proper divisors (537548895480).

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

210137713800 is a wasteful number, since it uses less digits than its factorization.

210137713800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214992 (or 214983 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The spelling of 210137713800 in words is "two hundred ten billion, one hundred thirty-seven million, seven hundred thirteen thousand, eight hundred".