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101101200220212 = 22371967031748143
BaseRepresentation
bin10110111111001101110101…
…001000000010000000110100
3111020222011212110210210121220
4112333031311020002000310
5101222420224224021322
6555005130013110340
730203214663443133
oct2677156510020064
9436864773723556
10101101200220212
112a2398619043a5
12b40a10b4883b0
134454a5779199a
141ad747786591a
15ba4d1a80155c
hex5bf375202034

101101200220212 has 48 divisors (see below), whose sum is σ = 236266276700160. Its totient is φ = 33648488948448.

The previous prime is 101101200220201. The next prime is 101101200220213. The reversal of 101101200220212 is 212022002101101.

It is a junction number, because it is equal to n+sod(n) for n = 101101200220191 and 101101200220200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101200220213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56959413 + ... + 58707555.

It is an arithmetic number, because the mean of its divisors is an integer number (4922214097920).

Almost surely, 2101101200220212 is an apocalyptic number.

101101200220212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101101200220212 is an abundant number, since it is smaller than the sum of its proper divisors (135165076479948).

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

101101200220212 is a wasteful number, since it uses less digits than its factorization.

101101200220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755572 (or 1755570 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101101200220212 its reverse (212022002101101), we get a palindrome (313123202321313).

The spelling of 101101200220212 in words is "one hundred one trillion, one hundred one billion, two hundred million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 719 1438 2157 2876 4314 6703 8628 13406 20109 26812 40218 80436 1748143 3496286 4819457 5244429 6992572 9638914 10488858 14458371 19277828 20977716 28916742 57833484 1256914817 2513829634 3770744451 5027659268 7541488902 11717802529 15082977804 23435605058 35153407587 46871210116 70306815174 140613630348 8425100018351 16850200036702 25275300055053 33700400073404 50550600110106 101101200220212