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100220222212012 = 22726117375764007
BaseRepresentation
bin10110110010011001010110…
…101111101000011110101100
3111010211221220121021000121101
4112302121112233220132230
5101114002003341241022
6553052311241012444
730052446351101500
oct2662312657503654
9433757817230541
10100220222212012
1129a2a180780591
12b2a7425784124
1343bc959ba3236
141aa6982900300
15b8be58255627
hex5b2656be87ac

100220222212012 has 144 divisors (see below), whose sum is σ = 208841736898368. Its totient is φ = 41947054087680.

The previous prime is 100220222212007. The next prime is 100220222212027. The reversal of 100220222212012 is 210212222022001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1565737713 + ... + 1565801719.

It is an arithmetic number, because the mean of its divisors is an integer number (1450289839572).

Almost surely, 2100220222212012 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 100220222212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104420868449184).

100220222212012 is an abundant number, since it is smaller than the sum of its proper divisors (108621514686356).

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

100220222212012 is a wasteful number, since it uses less digits than its factorization.

100220222212012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65016 (or 65007 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 100220222212012 its reverse (210212222022001), we get a palindrome (310432444234013).

The spelling of 100220222212012 in words is "one hundred trillion, two hundred twenty billion, two hundred twenty-two million, two hundred twelve thousand, twelve".

Divisors: 1 2 4 7 14 28 49 61 98 122 173 196 244 346 427 692 757 854 1211 1514 1708 2422 2989 3028 4844 5299 5978 8477 10553 10598 11956 16954 21106 21196 33908 37093 42212 46177 64007 73871 74186 92354 128014 130961 147742 148372 184708 256028 261922 295484 323239 448049 517097 523844 646478 896098 916727 1034194 1292956 1792196 1833454 2068388 2262673 3136343 3666908 3904427 4525346 6272686 6417089 7808854 7988621 9050692 11073211 12545372 12834178 15617708 15977242 22146422 25668356 27330989 31954484 44292844 48453299 54661978 55920347 77512477 96906598 109323956 111840694 155024954 191316923 193813196 223681388 310049908 339173093 382633846 391442429 542587339 675465871 678346186 765267692 782884858 1085174678 1350931742 1356692372 1565769716 2170349356 2374211651 2701863484 2955651239 4728261097 4748423302 5911302478 8382420727 9456522194 9496846604 11822604956 16764841454 18913044388 20689558673 33097827679 33529682908 41379117346 58676945089 66195655358 82758234692 117353890178 132391310716 144826910711 234707780356 289653821422 410738615623 511327664347 579307642844 821477231246 1022655328694 1642954462492 2045310657388 3579293650429 7158587300858 14317174601716 25055055553003 50110111106006 100220222212012