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101211221110212 = 2232119311423206303
BaseRepresentation
bin10111000000110100010010…
…111000011010110111000100
3111021100200212000112002200200
4113000310102320122313010
5101231221040101011322
6555131443150410500
730214161260540313
oct2700642270326704
9437320760462620
10101211221110212
112a28148a822474
12b4274b5200a30
13446223c3c4125
141adc91372627a
15ba7b096738ac
hex5c0d12e1adc4

101211221110212 has 72 divisors (see below), whose sum is σ = 256077583017984. Its totient is φ = 33705680174976.

The previous prime is 101211221110159. The next prime is 101211221110231. The reversal of 101211221110212 is 212011122112101.

It is a happy number.

101211221110212 is a `hidden beast` number, since 1 + 0 + 121 + 1 + 221 + 110 + 212 = 666.

It is a super-2 number, since 2×1012112211102122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 490491853 + ... + 490698155.

It is an arithmetic number, because the mean of its divisors is an integer number (3556633097472).

Almost surely, 2101211221110212 is an apocalyptic number.

101211221110212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101211221110212 is an abundant number, since it is smaller than the sum of its proper divisors (154866361907772).

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

101211221110212 is a wasteful number, since it uses less digits than its factorization.

101211221110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218929 (or 218924 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101211221110212 its reverse (212011122112101), we get a palindrome (313222343222313).

The spelling of 101211221110212 in words is "one hundred one trillion, two hundred eleven billion, two hundred twenty-one million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1193 2386 3579 4772 7158 10737 11423 14316 21474 22846 34269 42948 45692 68538 102807 137076 205614 206303 411228 412606 618909 825212 1237818 1856727 2475636 3713454 7426908 13627639 27255278 40882917 54510556 81765834 122648751 163531668 245297502 246119479 490595004 492238958 738358437 984477916 1476716874 2215075311 2356599169 2953433748 4430150622 4713198338 7069797507 8860301244 9426396676 14139595014 21209392521 28279190028 42418785042 84837570084 2811422808617 5622845617234 8434268425851 11245691234468 16868536851702 25302805277553 33737073703404 50605610555106 101211221110212