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211234231242 = 23319449458533
BaseRepresentation
bin1100010010111010001…
…0101001001111001010
3202012020021110202121000
43010232202221033022
511430101430344432
6241012322355430
721155403224526
oct3045642511712
9665207422530
10211234231242
1181647242431
1234b31abbb76
1316bc4927998
14a31c124d86
15576488057c
hex312e8a93ca

211234231242 has 64 divisors (see below), whose sum is σ = 495216720000. Its totient is φ = 66556836864.

The previous prime is 211234231211. The next prime is 211234231259. The reversal of 211234231242 is 242132432112.

211234231242 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 342 + 312 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231408 + ... + 689940.

It is an arithmetic number, because the mean of its divisors is an integer number (7737761250).

Almost surely, 2211234231242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211234231242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247608360000).

211234231242 is an abundant number, since it is smaller than the sum of its proper divisors (283982488758).

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

211234231242 is a wasteful number, since it uses less digits than its factorization.

211234231242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459012 (or 459006 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 211234231242 its reverse (242132432112), we get a palindrome (453366663354).

The spelling of 211234231242 in words is "two hundred eleven billion, two hundred thirty-four million, two hundred thirty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 449 513 898 1026 1347 2694 4041 8082 8531 12123 17062 24246 25593 51186 76779 153558 230337 458533 460674 917066 1375599 2751198 4126797 8253594 8712127 12380391 17424254 24760782 26136381 52272762 78409143 156818286 205881317 235227429 411762634 470454858 617643951 1235287902 1852931853 3705863706 3911745023 5558795559 7823490046 11117591118 11735235069 23470470138 35205705207 70411410414 105617115621 211234231242