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1023121020 = 223586319759
BaseRepresentation
bin111100111110111…
…001011001111100
32122022011221012010
4330332321121330
54043404333040
6245305011220
734232246055
oct7476713174
92568157163
101023121020
11485585a69
12246783b10
13133c7406c
1499c4972c
155ec4be80
hex3cfb967c

1023121020 has 48 divisors (see below), whose sum is σ = 2868203520. Its totient is φ = 272502336.

The previous prime is 1023121019. The next prime is 1023121027. The reversal of 1023121020 is 201213201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1023120987 and 1023121005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023121027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41901 + ... + 61659.

It is an arithmetic number, because the mean of its divisors is an integer number (59754240).

Almost surely, 21023121020 is an apocalyptic number.

1023121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023121020 is an abundant number, since it is smaller than the sum of its proper divisors (1845082500).

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

1023121020 is a wasteful number, since it uses less digits than its factorization.

1023121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20634 (or 20632 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1023121020 is about 31986.2629889770. The cubic root of 1023121020 is about 1007.6483601178.

Adding to 1023121020 its reverse (201213201), we get a palindrome (1224334221).

The spelling of 1023121020 in words is "one billion, twenty-three million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 863 1726 2589 3452 4315 5178 8630 10356 12945 17260 19759 25890 39518 51780 59277 79036 98795 118554 197590 237108 296385 395180 592770 1185540 17052017 34104034 51156051 68208068 85260085 102312102 170520170 204624204 255780255 341040340 511560510 1023121020