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1031032201122 = 23271123115114447
BaseRepresentation
bin11110000000011100100…
…11101101111110100010
310122120021101222120121100
433000032103231332202
5113343023220413442
62105352154135230
7134326640052420
oct17001623557642
93576241876540
101031032201122
11368292886a00
121479a2721516
13762c2463921
1437c8b9c2110
151bc45cd284c
hexf00e4edfa2

1031032201122 has 288 divisors, whose sum is σ = 2916134387712. Its totient is φ = 257427720000.

The previous prime is 1031032201099. The next prime is 1031032201139. The reversal of 1031032201122 is 2211022301301.

1031032201122 is a `hidden beast` number, since 1 + 0 + 310 + 32 + 201 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1031032201095 and 1031032201104.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71359303 + ... + 71373749.

It is an arithmetic number, because the mean of its divisors is an integer number (10125466624).

Almost surely, 21031032201122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031032201122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458067193856).

1031032201122 is an abundant number, since it is smaller than the sum of its proper divisors (1885102186590).

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

1031032201122 is a wasteful number, since it uses less digits than its factorization.

1031032201122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14666 (or 14652 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1031032201122 its reverse (2211022301301), we get a palindrome (3242054502423).

The spelling of 1031032201122 in words is "one trillion, thirty-one billion, thirty-two million, two hundred one thousand, one hundred twenty-two".