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201211232442 = 23112327617573
BaseRepresentation
bin1011101101100100011…
…1111100000010111010
3201020100202102200001020
42323121013330002322
511244040033414232
6232233555003310
720352126153633
oct2733107740272
9636322380036
10201211232442
117837354a050
1232bb5299536
1315c8824716c
149a4acd688a
15537997ce2c
hex2ed91fc0ba

201211232442 has 96 divisors (see below), whose sum is σ = 459587169216. Its totient is φ = 58237766400.

The previous prime is 201211232437. The next prime is 201211232449. The reversal of 201211232442 is 244232112102.

It is not an unprimeable number, because it can be changed into a prime (201211232449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26565768 + ... + 26573340.

It is an arithmetic number, because the mean of its divisors is an integer number (4787366346).

Almost surely, 2201211232442 is an apocalyptic number.

201211232442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201211232442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229793584608).

201211232442 is an abundant number, since it is smaller than the sum of its proper divisors (258375936774).

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

201211232442 is a wasteful number, since it uses less digits than its factorization.

201211232442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8396 (or 8373 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 201211232442 its reverse (244232112102), we get a palindrome (445443344544).

The spelling of 201211232442 in words is "two hundred one billion, two hundred eleven million, two hundred thirty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 529 759 761 1058 1518 1522 1587 2283 3174 4566 5819 7573 8371 11638 15146 16742 17457 17503 22719 25113 34914 35006 45438 50226 52509 83303 105018 166606 174179 192533 249909 348358 385066 402569 499818 522537 577599 805138 1045074 1155198 1207707 1915969 2415414 3831938 4006117 4428259 5747907 5763053 8012234 8856518 11495814 11526106 12018351 13284777 17289159 24036702 26569554 34578318 44067287 63393583 88134574 126787166 132201861 132550219 190180749 264403722 265100438 380361498 397650657 795301314 1458052409 2916104818 3048655037 4374157227 6097310074 8748314454 9145965111 18291930222 33535205407 67070410814 100605616221 201211232442