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1011212020 = 2257313172329
BaseRepresentation
bin111100010001011…
…101111011110100
32121110202220010001
4330101131323310
54032332241040
6244201441044
734026106000
oct7421357364
92543686101
101011212020
11479891615
122427a0184
13131664610
1498429700
155db9859a
hex3c45def4

1011212020 has 384 divisors, whose sum is σ = 3048192000. Its totient is φ = 278175744.

The previous prime is 1011212011. The next prime is 1011212029. The reversal of 1011212020 is 202121101.

It is an interprime number because it is at equal distance from previous prime (1011212011) and next prime (1011212029).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1011211988 and 1011212006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011212029) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34869366 + ... + 34869394.

It is an arithmetic number, because the mean of its divisors is an integer number (7938000).

Almost surely, 21011212020 is an apocalyptic number.

1011212020 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 1011212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524096000).

1011212020 is an abundant number, since it is smaller than the sum of its proper divisors (2036979980).

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

1011212020 is a wasteful number, since it uses less digits than its factorization.

1011212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1011212020 is about 31799.5600598499. The cubic root of 1011212020 is about 1003.7234586482.

Adding to 1011212020 its reverse (202121101), we get a palindrome (1213333121).

It can be divided in two parts, 101 and 1212020, that added together give a palindrome (1212121).

The spelling of 1011212020 in words is "one billion, eleven million, two hundred twelve thousand, twenty".