Search a number
-
+
202113113203188 = 22321119831572061427
BaseRepresentation
bin101101111101001000100000…
…010100010010000111110100
3222111121211021100220222211100
4231331020200110102013310
5202442410123440000223
61553505252111010100
760400122234221265
oct5575104024220764
9874554240828740
10202113113203188
1159443765363940
121a802a60809930
1388a1252cbb9c5
1437ca480d2a96c
15185765c61a043
hexb7d2205121f4

202113113203188 has 288 divisors, whose sum is σ = 597526509565440. Its totient is φ = 56958684606720.

The previous prime is 202113113203163. The next prime is 202113113203189. The reversal of 202113113203188 is 881302311311202.

202113113203188 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 1 + 3 + 11 + 320 + 318 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202113113203189) 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, 97014531 + ... + 99075957.

It is an arithmetic number, because the mean of its divisors is an integer number (2074744824880).

Almost surely, 2202113113203188 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 202113113203188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298763254782720).

202113113203188 is an abundant number, since it is smaller than the sum of its proper divisors (395413396362252).

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

202113113203188 is a wasteful number, since it uses less digits than its factorization.

202113113203188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061707 (or 2061702 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 202113113203188 in words is "two hundred two trillion, one hundred thirteen billion, one hundred thirteen million, two hundred three thousand, one hundred eighty-eight".