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1012332120212 = 227231329175657
BaseRepresentation
bin11101011101100111011…
…00100100100010010100
310120210000011111001010002
432232303230210202110
5113041224010321322
62053020422350432
7133065351021200
oct16566354444224
93523004431102
101012332120212
113603670aa386
12144243b8b418
13746021961aa
1436dd61d9b00
151b4ee23cc92
hexebb3b24894

1012332120212 has 72 divisors (see below), whose sum is σ = 2068477372584. Its totient is φ = 432245818368.

The previous prime is 1012332120197. The next prime is 1012332120227. The reversal of 1012332120212 is 2120212332101.

1012332120212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1012332120197) and next prime (1012332120227).

It can be written as a sum of positive squares in 4 ways, for example, as 33154583056 + 979177537156 = 182084^2 + 989534^2 .

It is a super-2 number, since 2×10123321202122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178949288 + ... + 178954944.

It is an arithmetic number, because the mean of its divisors is an integer number (28728852397).

Almost surely, 21012332120212 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 1012332120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034238686292).

1012332120212 is an abundant number, since it is smaller than the sum of its proper divisors (1056145252372).

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

1012332120212 is a wasteful number, since it uses less digits than its factorization.

1012332120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8905 (or 8896 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1012332120212 its reverse (2120212332101), we get a palindrome (3132544452313).

The spelling of 1012332120212 in words is "one trillion, twelve billion, three hundred thirty-two million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 49 98 196 313 626 1252 2191 2917 4382 5657 5834 8764 11314 11668 15337 20419 22628 30674 39599 40838 61348 79198 81676 142933 158396 277193 285866 554386 571732 913021 1108772 1770641 1826042 3541282 3652084 6391147 7082564 12394487 12782294 16501469 24788974 25564588 33002938 44738029 49577948 66005876 86761409 89476058 115510283 173522818 178952116 231020566 347045636 462041132 808571981 1617143962 3234287924 5164959797 10329919594 20659839188 36154718579 72309437158 144618874316 253083030053 506166060106 1012332120212