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221211102112 = 25721113986563
BaseRepresentation
bin1100111000000100110…
…1011000101110100000
3210010222120201022111221
43032001031120232200
512111020020231422
6245342321344424
721660550225600
oct3160115305640
9703876638457
10221211102112
11858a699a160
1236a57198114
1317b248a7680
14a9c7186c00
155b4a6c03c7
hex3381358ba0

221211102112 has 144 divisors (see below), whose sum is σ = 595182222432. Its totient is φ = 79556359680.

The previous prime is 221211102061. The next prime is 221211102113. The reversal of 221211102112 is 211201112122.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (221211102113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269058 + ... + 717505.

It is an arithmetic number, because the mean of its divisors is an integer number (4133209878).

Almost surely, 2221211102112 is an apocalyptic number.

221211102112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221211102112 is an abundant number, since it is smaller than the sum of its proper divisors (373971120320).

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

221211102112 is a wasteful number, since it uses less digits than its factorization.

221211102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986611 (or 986596 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 221211102112 its reverse (211201112122), we get a palindrome (432412214234).

It can be divided in two parts, 221211 and 102112, that added together give a palindrome (323323).

The spelling of 221211102112 in words is "two hundred twenty-one billion, two hundred eleven million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 49 52 56 77 88 91 98 104 112 143 154 176 182 196 208 224 286 308 352 364 392 416 539 572 616 637 728 784 1001 1078 1144 1232 1274 1456 1568 2002 2156 2288 2464 2548 2912 4004 4312 4576 5096 7007 8008 8624 10192 14014 16016 17248 20384 28028 32032 56056 112112 224224 986563 1973126 3946252 6905941 7892504 10852193 12825319 13811882 15785008 21704386 25650638 27623764 31570016 43408772 48341587 51301276 55247528 75965351 86817544 89777233 96683174 102602552 110495056 141078509 151930702 173635088 179554466 193366348 205205104 220990112 282157018 303861404 347270176 359108932 386732696 410410208 531757457 564314036 607722808 628440631 718217864 773465392 987549563 1063514914 1128628072 1215445616 1256881262 1436435728 1546930784 1975099126 2127029828 2257256144 2430891232 2513762524 2872871456 3950198252 4254059656 4514512288 5027525048 6912846941 7900396504 8508119312 10055050096 13825693882 15800793008 17016238624 20110100192 27651387764 31601586016 55302775528 110605551056 221211102112