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211233312100122 = 2313174125163154409
BaseRepresentation
bin110000000001110110010110…
…100010000100111100011010
31000200220201002201011102222020
4300001312112202010330122
5210141321310344200442
62025131124405035310
762331050250603444
oct6001662642047432
91020821081142866
10211233312100122
116133a5a9926314
121b8365209b5b36
1390b32a6324c40
143a23a65531494
1519649e34899ec
hexc01d96884f1a

211233312100122 has 128 divisors (see below), whose sum is σ = 493498886065920. Its totient is φ = 59676888514560.

The previous prime is 211233312100121. The next prime is 211233312100133. The reversal of 211233312100122 is 221001213332112.

It is a junction number, because it is equal to n+sod(n) for n = 211233312100092 and 211233312100101.

It is not an unprimeable number, because it can be changed into a prime (211233312100121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1367934454 + ... + 1368088862.

It is an arithmetic number, because the mean of its divisors is an integer number (3855460047390).

Almost surely, 2211233312100122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211233312100122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246749443032960).

211233312100122 is an abundant number, since it is smaller than the sum of its proper divisors (282265573965798).

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

211233312100122 is a wasteful number, since it uses less digits than its factorization.

211233312100122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179648.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 211233312100122 its reverse (221001213332112), we get a palindrome (432234525432234).

The spelling of 211233312100122 in words is "two hundred eleven trillion, two hundred thirty-three billion, three hundred twelve million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 17 26 34 39 41 51 78 82 102 123 221 246 442 533 663 697 1066 1326 1394 1599 2091 3198 4182 9061 18122 25163 27183 50326 54366 75489 150978 154409 308818 327119 427771 463227 654238 855542 926454 981357 1031683 1283313 1962714 2007317 2063366 2566626 2624953 3095049 4014634 5249906 5561023 6021951 6190098 6330769 7874859 11122046 12043902 12661538 13411879 15749718 16683069 17538611 18992307 26823758 33366138 34124389 35077222 37984614 40235637 52615833 68248778 80471274 82299997 102373167 105231666 107623073 164599994 204746334 215246146 228001943 246899991 322869219 456003886 493799982 645738438 684005829 1368011658 1399099949 2798199898 3885393667 4197299847 7770787334 8394599694 11656181001 23312362002 50510117671 66051692339 101020235342 132103384678 151530353013 159301140347 198155077017 303060706026 318602280694 396310154034 477903421041 858672000407 955806842082 1717344000814 2070914824511 2576016001221 2708119385899 4141829649022 5152032002442 5416238771798 6212744473533 8124358157697 12425488947066 16248716315394 35205552016687 70411104033374 105616656050061 211233312100122