Search a number
-
+
202300001302032 = 24351031076477297
BaseRepresentation
bin101101111111110110100011…
…101101110011011000010000
3222112021200122220212002100000
4231333312203231303120100
5203003440400313131112
61554131200531330000
760416456422650234
oct5577664355633020
9875250586762300
10202300001302032
1159505a4886a697
121a833119150900
1388b5a679b968a
1437d552d8745c4
15185c4498d67dc
hexb7fda3b73610

202300001302032 has 480 divisors, whose sum is σ = 599375569508352. Its totient is φ = 66043241644032.

The previous prime is 202300001301943. The next prime is 202300001302037. The reversal of 202300001302032 is 230203100003202.

It is a happy number.

202300001302032 is a `hidden beast` number, since 202 + 300 + 0 + 0 + 130 + 2 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202300001301996 and 202300001302014.

It is not an unprimeable number, because it can be changed into a prime (202300001302037) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27723718608 + ... + 27723725904.

Almost surely, 2202300001302032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202300001302032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299687784754176).

202300001302032 is an abundant number, since it is smaller than the sum of its proper divisors (397075568206320).

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

202300001302032 is a wasteful number, since it uses less digits than its factorization.

202300001302032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8177 (or 8159 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 202300001302032 its reverse (230203100003202), we get a palindrome (432503101305234).

The spelling of 202300001302032 in words is "two hundred two trillion, three hundred billion, one million, three hundred two thousand, thirty-two".