Search a number
-
+
200121100011 = 33712725732441
BaseRepresentation
bin1011101001100000100…
…1011010011011101011
3201010112210011012111000
42322120021122123223
511234322000200021
6231533453410043
720313121166160
oct2723011323353
9633483135430
10200121100011
1177964164458
1232950199923
1315b4343c9a1
149986206067
155313de5b26
hex2e9825a6eb

200121100011 has 64 divisors (see below), whose sum is σ = 342836674560. Its totient is φ = 113009541120.

The previous prime is 200121100007. The next prime is 200121100027. The reversal of 200121100011 is 110001121002.

It is a happy number.

It is not a de Polignac number, because 200121100011 - 22 = 200121100007 is a prime.

It is a super-2 number, since 2×2001211000112 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 200121099966 and 200121100002.

It is not an unprimeable number, because it can be changed into a prime (200121100411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6152551 + ... + 6184991.

It is an arithmetic number, because the mean of its divisors is an integer number (5356823040).

Almost surely, 2200121100011 is an apocalyptic number.

200121100011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

200121100011 is a deficient number, since it is larger than the sum of its proper divisors (142715574549).

200121100011 is a wasteful number, since it uses less digits than its factorization.

200121100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32841 (or 32835 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 200121100011 its reverse (110001121002), we get a palindrome (310122221013).

The spelling of 200121100011 in words is "two hundred billion, one hundred twenty-one million, one hundred thousand, eleven".

Divisors: 1 3 7 9 21 27 63 127 189 257 381 771 889 1143 1799 2313 2667 3429 5397 6939 8001 16191 24003 32441 32639 48573 97323 97917 227087 228473 291969 293751 681261 685419 875907 881253 2043783 2056257 4120007 6131349 6168771 8337337 12360021 25012011 28840049 37080063 58361359 75036033 86520147 111240189 175084077 225108099 259560441 525252231 778681323 1058841799 1575756693 3176525397 7411892593 9529576191 22235677779 28588728573 66707033337 200121100011