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1031132023020 = 22325112574914127
BaseRepresentation
bin11110000000101000100…
…00100000100011101100
310122120112100211001111200
433000110100200203230
5113343224244214040
62105410121445500
7134332261403361
oct17002420404354
93576470731450
101031132023020
11368334166640
12147a10040890
137630a044338
1437c9ad68468
151bc4e94e630
hexf0144208ec

1031132023020 has 288 divisors, whose sum is σ = 3433194326016. Its totient is φ = 248431411200.

The previous prime is 1031132023007. The next prime is 1031132023043. The reversal of 1031132023020 is 203202311301.

1031132023020 is a `hidden beast` number, since 1 + 0 + 311 + 320 + 2 + 30 + 2 + 0 = 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 = 1031132022984 and 1031132023002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 249848197 + ... + 249852323.

It is an arithmetic number, because the mean of its divisors is an integer number (11920813632).

Almost surely, 21031132023020 is an apocalyptic number.

1031132023020 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 1031132023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716597163008).

1031132023020 is an abundant number, since it is smaller than the sum of its proper divisors (2402062302996).

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

1031132023020 is a wasteful number, since it uses less digits than its factorization.

1031132023020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4901 (or 4896 counting only the distinct ones).

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

Adding to 1031132023020 its reverse (203202311301), we get a palindrome (1234334334321).

The spelling of 1031132023020 in words is "one trillion, thirty-one billion, one hundred thirty-two million, twenty-three thousand, twenty".