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101200211202012 = 22313751863807327
BaseRepresentation
bin10111000000101010000010…
…101000111100111111011100
3111021022122102201102210221220
4113000222002220330333130
5101231031013031431022
6555122422450053340
730213321401056506
oct2700520250747734
9437278381383856
10101200211202012
112a27784aa3748a
12b425341b7a250
1344611a640a950
141adc18b3d6d76
15ba76b2cc885c
hex5c0a82a3cfdc

101200211202012 has 48 divisors (see below), whose sum is σ = 254636579377152. Its totient is φ = 31097063736000.

The previous prime is 101200211201983. The next prime is 101200211202017. The reversal of 101200211202012 is 210202112002101.

It is a junction number, because it is equal to n+sod(n) for n = 101200211201982 and 101200211202000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200211202017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431786508 + ... + 432020819.

It is an arithmetic number, because the mean of its divisors is an integer number (5304928737024).

Almost surely, 2101200211202012 is an apocalyptic number.

101200211202012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101200211202012 is an abundant number, since it is smaller than the sum of its proper divisors (153436368175140).

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

101200211202012 is a wasteful number, since it uses less digits than its factorization.

101200211202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863808098 (or 863808096 counting only the distinct ones).

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

Adding to 101200211202012 its reverse (210202112002101), we get a palindrome (311402323204113).

The spelling of 101200211202012 in words is "one hundred one trillion, two hundred billion, two hundred eleven million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 751 1502 2253 3004 4506 9012 9763 19526 29289 39052 58578 117156 863807327 1727614654 2591421981 3455229308 5182843962 10365687924 11229495251 22458990502 33688485753 44917981004 67376971506 134753943012 648719302577 1297438605154 1946157907731 2594877210308 3892315815462 7784631630924 8433350933501 16866701867002 25300052800503 33733403734004 50600105601006 101200211202012