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1010010102112 = 251127729273539
BaseRepresentation
bin11101011001010010100…
…10110001100101100000
310120120000100012022002201
432230221102301211200
5113022000041231422
62051554153422544
7132653664134134
oct16545122614540
93516010168081
101010010102112
1135a38540a860
121438b640aa54
13743220b219b
1436c55a793c4
151b41546c727
hexeb294b1960

1010010102112 has 96 divisors (see below), whose sum is σ = 2178416540160. Its totient is φ = 457152622080.

The previous prime is 1010010102107. The next prime is 1010010102119. The reversal of 1010010102112 is 2112010100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010010102119) 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, 285392439 + ... + 285395977.

It is an arithmetic number, because the mean of its divisors is an integer number (22691838960).

Almost surely, 21010010102112 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 1010010102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089208270080).

1010010102112 is an abundant number, since it is smaller than the sum of its proper divisors (1168406438048).

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

1010010102112 is a wasteful number, since it uses less digits than its factorization.

1010010102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6764 (or 6756 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1010010102112 its reverse (2112010100101), we get a palindrome (3122020202213).

The spelling of 1010010102112 in words is "one trillion, ten billion, ten million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 277 352 554 1108 2216 2927 3047 3539 4432 5854 6094 7078 8864 11708 12188 14156 23416 24376 28312 32197 38929 46832 48752 56624 64394 77858 93664 97504 113248 128788 155716 257576 311432 515152 622864 810779 980303 1030304 1245728 1621558 1960606 3243116 3921212 6486232 7842424 8918569 10358653 10783333 12972464 15684848 17837138 20717306 21566666 25944928 31369696 35674276 41434612 43133332 71348552 82869224 86266664 113945183 142697104 165738448 172533328 227890366 285394208 331476896 345066656 455780732 911561464 1823122928 2869346881 3646245856 5738693762 11477387524 22954775048 31562815691 45909550096 63125631382 91819100192 126251262764 252502525528 505005051056 1010010102112