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12211211031102 = 234537122987473
BaseRepresentation
bin1011000110110010010011…
…1001010101001000111110
31121020101021021220011210000
42301230210321111020332
53100032030010443402
641545430343255130
72400142123112256
oct261544471251076
947211237804700
1012211211031102
113988822310666
121452745a4a4a6
136a7687583675
143030509c4966
1516299571bc1c
hexb1b24e5523e

12211211031102 has 160 divisors (see below), whose sum is σ = 28394858162880. Its totient is φ = 3920117160960.

The previous prime is 12211211031077. The next prime is 12211211031169. The reversal of 12211211031102 is 20113011211221.

It is a happy number.

12211211031102 is a `hidden beast` number, since 1 + 221 + 121 + 10 + 311 + 0 + 2 = 666.

12211211031102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122112110311022 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 139556038 + ... + 139643510.

It is an arithmetic number, because the mean of its divisors is an integer number (177467863518).

Almost surely, 212211211031102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211211031102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14197429081440).

12211211031102 is an abundant number, since it is smaller than the sum of its proper divisors (16183647131778).

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

12211211031102 is a wasteful number, since it uses less digits than its factorization.

12211211031102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87840 (or 87831 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 12211211031102 its reverse (20113011211221), we get a palindrome (32324222242323).

The spelling of 12211211031102 in words is "twelve trillion, two hundred eleven billion, two hundred eleven million, thirty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 53 54 71 81 106 142 159 162 213 229 318 426 458 477 639 687 954 1278 1374 1431 1917 2061 2862 3763 3834 4122 4293 5751 6183 7526 8586 11289 11502 12137 12366 16259 18549 22578 24274 32518 33867 36411 37098 48777 67734 72822 87473 97554 101601 109233 146331 174946 203202 218466 262419 292662 304803 327699 438993 524838 609606 655398 787257 861727 877986 983097 1316979 1574514 1723454 1966194 2361771 2585181 2633958 4636069 4723542 5170362 6210583 7085313 7755543 9272138 12421166 13908207 14170626 15511086 18631749 20031317 23266629 27816414 37263498 40062634 41724621 46533258 55895247 60093951 69799887 83449242 111790494 120187902 125173863 139599774 167685741 180281853 250347726 329160899 335371482 360563706 375521589 503057223 540845559 658321798 751043178 987482697 1006114446 1061659801 1081691118 1422223507 1622536677 1974965394 2123319602 2844447014 2962448091 3184979403 3245073354 4266670521 5924896182 6369958806 8533341042 8887344273 9554938209 12800011563 17774688546 19109876418 25600023126 26662032819 28664814627 38400034689 53324065638 57329629254 75377845871 76800069378 85994443881 115200104067 150755691742 171988887762 226133537613 230400208134 452267075226 678400612839 1356801225678 2035201838517 4070403677034 6105605515551 12211211031102