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21202112000121 = 31323292939073067
BaseRepresentation
bin1001101001000100000000…
…10110101011000001111001
32210001220100122021100010220
410310202000112223001321
510234333411133000441
6113032041002130253
74315542046311453
oct464420026530171
983056318240126
1021202112000121
116834846539078
1224651404b0989
13baa4732cb650
1453428b0772d3
1526b7b01a9466
hex1348805ab079

21202112000121 has 128 divisors (see below), whose sum is σ = 33022432235520. Its totient is φ = 11991545330688.

The previous prime is 21202112000107. The next prime is 21202112000143. The reversal of 21202112000121 is 12100021120212.

It is not a de Polignac number, because 21202112000121 - 219 = 21202111475833 is a prime.

It is a super-3 number, since 3×212021120001213 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 21202112000121.

It is not an unprimeable number, because it can be changed into a prime (21202112000921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6912979230 + ... + 6912982296.

It is an arithmetic number, because the mean of its divisors is an integer number (257987751840).

Almost surely, 221202112000121 is an apocalyptic number.

It is an amenable number.

21202112000121 is a deficient number, since it is larger than the sum of its proper divisors (11820320235399).

21202112000121 is a wasteful number, since it uses less digits than its factorization.

21202112000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4335.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21202112000121 its reverse (12100021120212), we get a palindrome (33302133120333).

The spelling of 21202112000121 in words is "twenty-one trillion, two hundred two billion, one hundred twelve million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 13 23 29 39 69 87 293 299 377 667 879 897 907 1131 2001 2721 3067 3809 6739 8497 8671 9201 11427 11791 20217 20861 25491 26013 26303 35373 39871 62583 70541 78909 87607 88943 110461 119613 195431 211623 262821 265751 266829 271193 331383 341939 586293 604969 797253 813579 898631 917033 1025817 1156259 1814907 2045689 2540603 2695893 2751099 2781769 3454763 3468777 6112273 6137067 7621809 7706779 7864597 8345307 10364289 11682203 18336819 20668513 23120337 23593791 26060299 26593957 35046609 36162997 62005539 63980687 78180897 79459549 79781871 80671301 100188127 108488991 177255917 191942061 238378647 242013903 268690669 300564381 338783887 531767751 599386877 806072007 815058317 831748931 1016351661 1048726913 1798160631 1855439923 2304326921 2445174951 2495246793 3146180739 5566319769 6912980763 7792029401 10595758121 18746341291 23376088203 23636691193 24120718999 31787274363 56239023873 70910073579 72362156997 243702436783 307276985509 543643897439 731107310349 921830956527 1630931692317 7067370666707 21202112000121