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211102101201112 = 231121731260581983
BaseRepresentation
bin101111111111111100001001…
…110000001110000011011000
31000200110011102101201011011221
4233333330021300032003120
5210132144100401413422
62024550544432101424
762315423601425332
oct5777741160160330
91020404371634157
10211102101201112
1161299997786900
121b815002694874
1390a3ac5611124
143a1b5792da452
1519613b41863c7
hexbfff09c0e0d8

211102101201112 has 48 divisors (see below), whose sum is σ = 437585824105920. Its totient is φ = 95400844397760.

The previous prime is 211102101201109. The next prime is 211102101201179.

211102101201112 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 630123528 + ... + 630458455.

It is an arithmetic number, because the mean of its divisors is an integer number (9116371335540).

Almost surely, 2211102101201112 is an apocalyptic number.

211102101201112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211102101201112 is an abundant number, since it is smaller than the sum of its proper divisors (226483722904808).

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

211102101201112 is a wasteful number, since it uses less digits than its factorization.

211102101201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260582184 (or 1260582169 counting only the distinct ones).

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

It can be divided in two parts, 21110210 and 1201112, that added together give a palindrome (22311322).

The spelling of 211102101201112 in words is "two hundred eleven trillion, one hundred two billion, one hundred one million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 121 173 242 346 484 692 968 1384 1903 3806 7612 15224 20933 41866 83732 167464 1260581983 2521163966 5042327932 10084655864 13866401813 27732803626 55465607252 110931214504 152530419943 218080683059 305060839886 436161366118 610121679772 872322732236 1220243359544 1744645464472 2398887513649 4797775027298 9595550054596 19191100109192 26387762650139 52775525300278 105551050600556 211102101201112