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101211112010019 = 31159231972240941
BaseRepresentation
bin10111000000110100001100…
…011000001111000100100011
3111021100200120102020020100210
4113000310030120033010203
5101231220324133310034
6555131424252145203
730214155464314044
oct2700641430170443
9437320512206323
10101211112010019
112a281434185920
12b427484768203
1344622229154bb
141adc9030468cb
15ba7aeecc28e9
hex5c0d0c60f123

101211112010019 has 32 divisors (see below), whose sum is σ = 149717872846080. Its totient is φ = 60297779318400.

The previous prime is 101211112010003. The next prime is 101211112010053. The reversal of 101211112010019 is 910010211112101.

It is a happy number.

It is not a de Polignac number, because 101211112010019 - 24 = 101211112010003 is a prime.

It is a super-2 number, since 2×1012111120100192 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101211112009977 and 101211112010004.

It is not an unprimeable number, because it can be changed into a prime (101211112010419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44044089 + ... + 46285029.

It is an arithmetic number, because the mean of its divisors is an integer number (4678683526440).

Almost surely, 2101211112010019 is an apocalyptic number.

101211112010019 is a deficient number, since it is larger than the sum of its proper divisors (48506760836061).

101211112010019 is a wasteful number, since it uses less digits than its factorization.

101211112010019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264211.

The product of its (nonzero) digits is 36, while the sum is 21.

The spelling of 101211112010019 in words is "one hundred one trillion, two hundred eleven billion, one hundred twelve million, ten thousand, nineteen".

Divisors: 1 3 11 33 59 177 649 1947 23197 69591 255167 765501 1368623 2240941 4105869 6722823 15054853 24650351 45164559 73951053 132215519 396646557 1454370709 4363112127 51983108377 155949325131 571814192147 1715442576441 3067003394243 9201010182729 33737037336673 101211112010019