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1010112211119 = 31146166397963
BaseRepresentation
bin11101011001011110110…
…00010010100010101111
310120120021110022222022210
432230233120102202233
5113022202211223434
62052012242141503
7132656344062054
oct16545730224257
93516243288283
101010112211119
1135a428011870
12143924651893
137433a2b390b
1436c6545902b
151b41e3dbee9
hexeb2f6128af

1010112211119 has 16 divisors (see below), whose sum is σ = 1472441249664. Its totient is φ = 610861250400.

The previous prime is 1010112211099. The next prime is 1010112211127. The reversal of 1010112211119 is 9111122110101.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-1010112211119 is a prime.

It is a super-3 number, since 3×10101122111193 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1010112211095 and 1010112211104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010112211139) 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, 33183769 + ... + 33214194.

It is an arithmetic number, because the mean of its divisors is an integer number (92027578104).

Almost surely, 21010112211119 is an apocalyptic number.

1010112211119 is a deficient number, since it is larger than the sum of its proper divisors (462329038545).

1010112211119 is a wasteful number, since it uses less digits than its factorization.

1010112211119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66398438.

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

The spelling of 1010112211119 in words is "one trillion, ten billion, one hundred twelve million, two hundred eleven thousand, one hundred nineteen".

Divisors: 1 3 11 33 461 1383 5071 15213 66397963 199193889 730377593 2191132779 30609460943 91828382829 336704070373 1010112211119