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1020232123220 = 22551011606161
BaseRepresentation
bin11101101100010101001…
…00101100001101010100
310121112101201201202221002
432312022210230031110
5113203413410420340
62100404351042432
7133465205651012
oct16661244541524
93545351652832
101020232123220
11363750488592
12145889810418
1375290a96c9b
14375454b38b2
151b812a84715
hexed8a92c354

1020232123220 has 12 divisors (see below), whose sum is σ = 2142487458804. Its totient is φ = 408092849280.

The previous prime is 1020232123193. The next prime is 1020232123271. The reversal of 1020232123220 is 223212320201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 579991911184 + 440240212036 = 761572^2 + 663506^2 .

It is a super-3 number, since 3×10202321232203 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 51011606161 = 1020232123220 / (1 + 0 + 2 + 0 + 2 + 3 + 2 + 1 + 2 + 3 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 1020232123192 and 1020232123201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25505803061 + ... + 25505803100.

It is an arithmetic number, because the mean of its divisors is an integer number (178540621567).

Almost surely, 21020232123220 is an apocalyptic number.

1020232123220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020232123220 is an abundant number, since it is smaller than the sum of its proper divisors (1122255335584).

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

1020232123220 is a wasteful number, since it uses less digits than its factorization.

1020232123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51011606170 (or 51011606168 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1020232123220 its reverse (223212320201), we get a palindrome (1243444443421).

The spelling of 1020232123220 in words is "one trillion, twenty billion, two hundred thirty-two million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 51011606161 102023212322 204046424644 255058030805 510116061610 1020232123220