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102222020211132 = 223596711231918919
BaseRepresentation
bin10111001111100001101011…
…001100111111000110111100
3111101221022220100100200200110
4113033201223030333012330
5101344301144133224012
61001224051531230020
730350203645251513
oct2717415314770674
9441838810320613
10102222020211132
112a63112a539758
12b56b38b8a8310
134506658aa69c3
141b358020a567a
15bc4068ee373c
hex5cf86b33f1bc

102222020211132 has 96 divisors (see below), whose sum is σ = 246400380979200. Its totient is φ = 32967134050752.

The previous prime is 102222020211121. The next prime is 102222020211133. The reversal of 102222020211132 is 231112020222201.

It is a junction number, because it is equal to n+sod(n) for n = 102222020211099 and 102222020211108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222020211133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52311169 + ... + 54230087.

It is an arithmetic number, because the mean of its divisors is an integer number (2566670635200).

Almost surely, 2102222020211132 is an apocalyptic number.

102222020211132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102222020211132 is an abundant number, since it is smaller than the sum of its proper divisors (144178360768068).

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

102222020211132 is a wasteful number, since it uses less digits than its factorization.

102222020211132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920175 (or 1920173 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 102222020211132 its reverse (231112020222201), we get a palindrome (333334040433333).

The spelling of 102222020211132 in words is "one hundred two trillion, two hundred twenty-two billion, twenty million, two hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 59 67 118 134 177 201 236 268 354 402 708 804 1123 2246 3369 3953 4492 6738 7906 11859 13476 15812 23718 47436 66257 75241 132514 150482 198771 225723 265028 300964 397542 451446 795084 902892 1918919 3837838 4439219 5756757 7675676 8878438 11513514 13317657 17756876 23027028 26635314 53270628 113216221 128567573 226432442 257135146 339648663 385702719 452864884 514270292 679297326 771405438 1358594652 1542810876 2154946037 4309892074 6464838111 7585486807 8619784148 12929676222 15170973614 22756460421 25859352444 30341947228 45512920842 91025841684 127141816183 144381384479 254283632366 288762768958 381425448549 433144153437 508567264732 577525537916 762850897098 866288306874 1525701794196 1732576613748 8518501684261 17037003368522 25555505052783 34074006737044 51111010105566 102222020211132