Search a number
-
+
200011022100 = 2232521937973259
BaseRepresentation
bin1011101001000110010…
…1011111111100010100
3201010021010000122222100
42322101211133330110
511234110310201400
6231514522202100
720310313431261
oct2722145377424
9633233018870
10200011022100
117790800a27a
123291b353330
1315b266ab026
149975750268
155309400100
hex2e9195ff14

200011022100 has 432 divisors, whose sum is σ = 684952340800. Its totient is φ = 48641679360.

The previous prime is 200011022077. The next prime is 200011022111. The reversal of 200011022100 is 1220110002.

It is a super-2 number, since 2×2000110221002 (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61370271 + ... + 61373529.

Almost surely, 2200011022100 is an apocalyptic number.

200011022100 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 200011022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342476170400).

200011022100 is an abundant number, since it is smaller than the sum of its proper divisors (484941318700).

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

200011022100 is a wasteful number, since it uses less digits than its factorization.

200011022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200011022100 its reverse (1220110002), we get a palindrome (201231132102).

The spelling of 200011022100 in words is "two hundred billion, eleven million, twenty-two thousand, one hundred".