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101112110200212 = 22371443659406513
BaseRepresentation
bin10110111111010111111111…
…011010010011010110010100
3111021000020000210212012122020
4112333113333122103112110
5101223110100202401322
6555014132343533140
730204052230651036
oct2677277732232624
9437006023765566
10101112110200212
112a2434502478a1
12b41025515a1b0
134455aa5b5b257
141ad7bd07c1c56
15ba525850d05c
hex5bf5ff693594

101112110200212 has 96 divisors (see below), whose sum is σ = 240155722920960. Its totient is φ = 33103930728960.

The previous prime is 101112110200121. The next prime is 101112110200229. The reversal of 101112110200212 is 212002011211101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101112110200191 and 101112110200200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248527068 + ... + 248933580.

It is an arithmetic number, because the mean of its divisors is an integer number (2501622113760).

Almost surely, 2101112110200212 is an apocalyptic number.

101112110200212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101112110200212 is an abundant number, since it is smaller than the sum of its proper divisors (139043612720748).

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

101112110200212 is a wasteful number, since it uses less digits than its factorization.

101112110200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407693 (or 407691 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101112110200212 its reverse (212002011211101), we get a palindrome (313114121411313).

The spelling of 101112110200212 in words is "one hundred one trillion, one hundred twelve billion, one hundred ten million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 71 142 213 284 426 443 659 852 886 1318 1329 1772 1977 2636 2658 3954 5316 7908 31453 46789 62906 93578 94359 125812 140367 187156 188718 280734 291937 377436 406513 561468 583874 813026 875811 1167748 1219539 1626052 1751622 2439078 3503244 4878156 20727527 28862423 41455054 57724846 62182581 82910108 86587269 115449692 124365162 173174538 180085259 248730324 267892067 346349076 360170518 535784134 540255777 720341036 803676201 1071568268 1080511554 1607352402 2161023108 3214704804 12786053389 19020336757 25572106778 38040673514 38358160167 51144213556 57061010271 76081347028 76716320334 114122020542 118676185681 153432640668 228244041084 237352371362 356028557043 474704742724 712057114086 1424114228172 8426009183351 16852018366702 25278027550053 33704036733404 50556055100106 101112110200212