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1012132020 = 2235233159401
BaseRepresentation
bin111100010100111…
…110100010110100
32121112111122010010
4330110332202310
54033101211040
6244233300220
734036660134
oct7424764264
92545448103
101012132020
1147a35a849
12242b64670
131318c72b3
14985c8ac4
155dccae80
hex3c53e8b4

1012132020 has 192 divisors, whose sum is σ = 3112058880. Its totient is φ = 244992000.

The previous prime is 1012132019. The next prime is 1012132021. The reversal of 1012132020 is 202312101.

It is an interprime number because it is at equal distance from previous prime (1012132019) and next prime (1012132021).

It is a super-2 number, since 2×10121320202 = 2048822451818560800, which contains 22 as substring.

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 = 1012131987 and 1012132005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012132021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2523820 + ... + 2524220.

It is an arithmetic number, because the mean of its divisors is an integer number (16208640).

Almost surely, 21012132020 is an apocalyptic number.

1012132020 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 1012132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556029440).

1012132020 is an abundant number, since it is smaller than the sum of its proper divisors (2099926860).

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

1012132020 is a wasteful number, since it uses less digits than its factorization.

1012132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 524 counting only the distinct ones).

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

The square root of 1012132020 is about 31814.0223800764. The cubic root of 1012132020 is about 1004.0277620192.

Adding to 1012132020 its reverse (202312101), we get a palindrome (1214444121).

The spelling of 1012132020 in words is "one billion, twelve million, one hundred thirty-two thousand, twenty".