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1023121103220 = 223255684006129
BaseRepresentation
bin11101110001101101100…
…01010001100101110100
310121210212001212011110100
432320312301101211310
5113230323000300340
62102003151554100
7133626615613146
oct16706661214564
93553761764410
101023121103220
113649a320aa67
1214635522b930
1375631479ac8
143773b05ac96
151b9314e8830
hexee36c51974

1023121103220 has 36 divisors (see below), whose sum is σ = 3103467346980. Its totient is φ = 272832294144.

The previous prime is 1023121103177. The next prime is 1023121103243. The reversal of 1023121103220 is 223011213201.

1023121103220 is a `hidden beast` number, since 1 + 0 + 231 + 2 + 110 + 322 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 748892928996 + 274228174224 = 865386^2 + 523668^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 1023121103193 and 1023121103202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2842002885 + ... + 2842003244.

It is an arithmetic number, because the mean of its divisors is an integer number (86207426305).

Almost surely, 21023121103220 is an apocalyptic number.

1023121103220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023121103220 is an abundant number, since it is smaller than the sum of its proper divisors (2080346243760).

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

1023121103220 is a wasteful number, since it uses less digits than its factorization.

1023121103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5684006144 (or 5684006139 counting only the distinct ones).

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

Adding to 1023121103220 its reverse (223011213201), we get a palindrome (1246132316421).

The spelling of 1023121103220 in words is "one trillion, twenty-three billion, one hundred twenty-one million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5684006129 11368012258 17052018387 22736024516 28420030645 34104036774 51156055161 56840061290 68208073548 85260091935 102312110322 113680122580 170520183870 204624220644 255780275805 341040367740 511560551610 1023121103220