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211202002112 = 26192370910651
BaseRepresentation
bin1100010010110010011…
…1101100110011000000
3202012011000211100112112
43010230213230303000
511430020203031422
6241005211514452
721154532253203
oct3045447546300
9665130740475
10211202002112
118163002a192
1234b23158a28
1316bbb0521aa
14a317b3593a
155761b15ee2
hex312c9eccc0

211202002112 has 112 divisors (see below), whose sum is σ = 461035603200. Its totient is φ = 95549414400.

The previous prime is 211202002091. The next prime is 211202002117. The reversal of 211202002112 is 211200202112.

It is a super-2 number, since 2×2112020021122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211202002117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19823987 + ... + 19834637.

Almost surely, 2211202002112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211202002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230517801600).

211202002112 is an abundant number, since it is smaller than the sum of its proper divisors (249833601088).

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

211202002112 is a wasteful number, since it uses less digits than its factorization.

211202002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11414 (or 11404 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211202002112 its reverse (211200202112), we get a palindrome (422402204224).

The spelling of 211202002112 in words is "two hundred eleven billion, two hundred two million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 152 184 304 368 437 608 709 736 874 1216 1418 1472 1748 2836 3496 5672 6992 10651 11344 13471 13984 16307 21302 22688 26942 27968 32614 42604 45376 53884 65228 85208 107768 130456 170416 202369 215536 244973 260912 309833 340832 404738 431072 489946 521824 619666 681664 809476 862144 979892 1043648 1239332 1618952 1959784 2478664 3237904 3919568 4654487 4957328 6475808 7551559 7839136 9308974 9914656 12951616 15103118 15678272 18617948 19829312 30206236 37235896 60412472 74471792 120824944 143479621 148943584 173685857 241649888 286959242 297887168 347371714 483299776 573918484 694743428 1147836968 1389486856 2295673936 2778973712 3300031283 4591347872 5557947424 6600062566 9182695744 11115894848 13200125132 26400250264 52800500528 105601001056 211202002112