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101202102202212 = 2232112295071113521
BaseRepresentation
bin10111000000101011110011…
…010110100010111101100100
3111021022211022111200120120100
4113000223303112202331210
5101231043401130432322
6555123334240504100
730213416302233564
oct2700536326427544
9437284274616510
10101202102202212
112a2786303a5970
12b42578b31b030
13446141810cc8b
141adc2ca5dada4
15ba7773d09dac
hex5c0af35a2f64

101202102202212 has 72 divisors (see below), whose sum is σ = 279073930236192. Its totient is φ = 30667142534400.

The previous prime is 101202102202199. The next prime is 101202102202213. The reversal of 101202102202212 is 212202201202101.

It is a happy number.

101202102202212 is a `hidden beast` number, since 1 + 0 + 1 + 20 + 210 + 220 + 2 + 212 = 666.

101202102202212 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (101202102202213) 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, 90328012 + ... + 91441532.

It is an arithmetic number, because the mean of its divisors is an integer number (3876026808836).

Almost surely, 2101202102202212 is an apocalyptic number.

101202102202212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101202102202212 is an abundant number, since it is smaller than the sum of its proper divisors (177871828033980).

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

101202102202212 is a wasteful number, since it uses less digits than its factorization.

101202102202212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343049 (or 1343044 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101202102202212 its reverse (212202201202101), we get a palindrome (313404303404313).

The spelling of 101202102202212 in words is "one hundred one trillion, two hundred two billion, one hundred two million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 229507 459014 688521 918028 1113521 1377042 2065563 2227042 2524577 2754084 3340563 4131126 4454084 5049154 6681126 7573731 8262252 10021689 10098308 12248731 13362252 15147462 20043378 22721193 24497462 30294924 36746193 40086756 45442386 48994924 73492386 90884772 110238579 146984772 220477158 440954316 255560864147 511121728294 766682592441 1022243456588 1533365184882 2300047777323 2811169505617 3066730369764 4600095554646 5622339011234 8433508516851 9200191109292 11244678022468 16867017033702 25300525550553 33734034067404 50601051101106 101202102202212