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1022120200010 = 257131123209011
BaseRepresentation
bin11101101111110110001…
…11001000011101001010
310121201021022111000101002
432313323013020131022
5113221300232400020
62101315555055002
7133563043231040
oct16677307103512
93551238430332
101022120200010
1136452a22a628
12146115ba1462
1375501cb47a0
1437684156390
151b8c36d9975
hexedfb1c874a

1022120200010 has 32 divisors (see below), whose sum is σ = 2264389368192. Its totient is φ = 323484194880.

The previous prime is 1022120200009. The next prime is 1022120200021. The reversal of 1022120200010 is 100020212201.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1022120199964 and 1022120200000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 561603596 + ... + 561605415.

It is an arithmetic number, because the mean of its divisors is an integer number (70762167756).

Almost surely, 21022120200010 is an apocalyptic number.

1022120200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1022120200010 is an abundant number, since it is smaller than the sum of its proper divisors (1242269168182).

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

1022120200010 is a wasteful number, since it uses less digits than its factorization.

1022120200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123209038.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1022120200010 its reverse (100020212201), we get a palindrome (1122140412211).

The spelling of 1022120200010 in words is "one trillion, twenty-two billion, one hundred twenty million, two hundred thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 1123209011 2246418022 5616045055 7862463077 11232090110 14601717143 15724926154 29203434286 39312315385 73008585715 78624630770 102212020001 146017171430 204424040002 511060100005 1022120200010