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1020312303120 = 2433511151284387
BaseRepresentation
bin11101101100011110101…
…10100011011000010000
310121112121022121100002000
432312033112203120100
5113204044422144440
62100420333354000
7133500201323445
oct16661726433020
93545538540060
101020312303120
11363791771970
121458b0638900
13752a458b206
1437551dc59cc
151b819b21730
hexed8f5a3610

1020312303120 has 320 divisors, whose sum is σ = 3859304417280. Its totient is φ = 245709504000.

The previous prime is 1020312303103. The next prime is 1020312303133. The reversal of 1020312303120 is 213032130201.

1020312303120 is a `hidden beast` number, since 10 + 2 + 0 + 312 + 30 + 312 + 0 = 666.

1020312303120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 1020312303093 and 1020312303102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3445567 + ... + 3729953.

It is an arithmetic number, because the mean of its divisors is an integer number (12060326304).

Almost surely, 21020312303120 is an apocalyptic number.

1020312303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020312303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929652208640).

1020312303120 is an abundant number, since it is smaller than the sum of its proper divisors (2838992114160).

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

1020312303120 is a wasteful number, since it uses less digits than its factorization.

1020312303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284571 (or 284559 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1020312303120 its reverse (213032130201), we get a palindrome (1233344433321).

The spelling of 1020312303120 in words is "one trillion, twenty billion, three hundred twelve million, three hundred three thousand, one hundred twenty".