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1112102122112 = 27671031125777
BaseRepresentation
bin10000001011101110011…
…100111011001010000000
310221022112022100021021122
4100023232130323022000
5121210041120401422
62210520452011412
7143226633032252
oct20135634731200
93838468307248
101112102122112
11399704723503
1215b648900b68
1380b42147487
143bb7c8a9cd2
151dddd194d42
hex102ee73b280

1112102122112 has 64 divisors (see below), whose sum is σ = 2250782216640. Its totient is φ = 547216158720.

The previous prime is 1112102122111. The next prime is 1112102122133. The reversal of 1112102122112 is 2112212012111.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11121021221122 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1112102122111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8778968 + ... + 8904744.

It is an arithmetic number, because the mean of its divisors is an integer number (35168472135).

Almost surely, 21112102122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112102122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125391108320).

1112102122112 is an abundant number, since it is smaller than the sum of its proper divisors (1138680094528).

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

1112102122112 is a wasteful number, since it uses less digits than its factorization.

1112102122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126889 (or 126877 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 1112102122112 its reverse (2112212012111), we get a palindrome (3224314134223).

It can be divided in two parts, 111210 and 2122112, that added together give a palindrome (2233322).

The spelling of 1112102122112 in words is "one trillion, one hundred twelve billion, one hundred two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 536 1031 1072 2062 2144 4124 4288 8248 8576 16496 32992 65984 69077 125777 131968 138154 251554 276308 503108 552616 1006216 1105232 2012432 2210464 4024864 4420928 8049728 8427059 8841856 16099456 16854118 33708236 67416472 129676087 134832944 259352174 269665888 518704348 539331776 1037408696 1078663552 2074817392 4149634784 8299269568 8688297829 16598539136 17376595658 34753191316 69506382632 139012765264 278025530528 556051061056 1112102122112