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1021131023220 = 22325711234731391
BaseRepresentation
bin11101101110000000010…
…01101110001101110100
310121121201101011121220200
432313000021232031310
5113212234020220340
62101033501400500
7133526402325510
oct16670011561564
93547641147820
101021131023220
11364071929450
12145a9a869130
13753a5096a89
14375cca25140
151b866945330
hexedc026e374

1021131023220 has 288 divisors, whose sum is σ = 3863500333056. Its totient is φ = 212085907200.

The previous prime is 1021131023219. The next prime is 1021131023239. The reversal of 1021131023220 is 223201311201.

1021131023220 is a `hidden beast` number, since 10 + 21 + 1 + 310 + 2 + 322 + 0 = 666.

1021131023220 is digitally balanced in base 2, because in such base 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 = 1021131023193 and 1021131023202.

It is a congruent number.

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, 32513725 + ... + 32545115.

It is an arithmetic number, because the mean of its divisors is an integer number (13414931712).

Almost surely, 21021131023220 is an apocalyptic number.

1021131023220 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 1021131023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931750166528).

1021131023220 is an abundant number, since it is smaller than the sum of its proper divisors (2842369309836).

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

1021131023220 is a wasteful number, since it uses less digits than its factorization.

1021131023220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33771 (or 33766 counting only the distinct ones).

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

Adding to 1021131023220 its reverse (223201311201), we get a palindrome (1244332334421).

The spelling of 1021131023220 in words is "one trillion, twenty-one billion, one hundred thirty-one million, twenty-three thousand, two hundred twenty".