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200123126511 = 37211578321401
BaseRepresentation
bin1011101001100001000…
…1001001001011101111
3201010112220222011022120
42322120101021023233
511234323010022021
6231534005044023
720313144336300
oct2723021111357
9633486864276
10200123126511
1177965318a50
12329509b6613
1315b4399c1b9
1499865b27a7
1553141962c6
hex2e984492ef

200123126511 has 48 divisors (see below), whose sum is σ = 338687163648. Its totient is φ = 103937232000.

The previous prime is 200123126509. The next prime is 200123126519. The reversal of 200123126511 is 115621321002.

It is a happy number.

200123126511 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 200123126511 - 21 = 200123126509 is a prime.

It is a super-2 number, since 2×2001231265112 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200123126519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9340411 + ... + 9361811.

It is an arithmetic number, because the mean of its divisors is an integer number (7055982576).

Almost surely, 2200123126511 is an apocalyptic number.

200123126511 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

200123126511 is a deficient number, since it is larger than the sum of its proper divisors (138564037137).

200123126511 is a wasteful number, since it uses less digits than its factorization.

200123126511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27212 (or 27205 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 200123126511 its reverse (115621321002), we get a palindrome (315744447513).

The spelling of 200123126511 in words is "two hundred billion, one hundred twenty-three million, one hundred twenty-six thousand, five hundred eleven".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 1617 5783 17349 21401 40481 63613 64203 121443 149807 190839 235411 283367 445291 449421 706233 850101 1048649 1335873 1647877 3117037 3145947 4943631 9351111 11535139 34605417 123761983 371285949 866333881 1361381813 2599001643 4084145439 6064337167 9529672691 18193011501 28589018073 66707708837 200123126511