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1310212020 = 22351323199367
BaseRepresentation
bin100111000011000…
…0011111110110100
310101022101200000010
41032012003332310
510140403241040
6334002220220
744316422055
oct11606037664
93338350003
101310212020
11612642757
12306954670
1317b5a21b0
14c601c72c
157a05ae80
hex4e183fb4

1310212020 has 192 divisors, whose sum is σ = 4154572800. Its totient is φ = 306104832.

The previous prime is 1310212019. The next prime is 1310212087. The reversal of 1310212020 is 202120131.

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 = 1310211987 and 1310212005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3569877 + ... + 3570243.

It is an arithmetic number, because the mean of its divisors is an integer number (21638400).

Almost surely, 21310212020 is an apocalyptic number.

1310212020 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 1310212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077286400).

1310212020 is an abundant number, since it is smaller than the sum of its proper divisors (2844360780).

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

1310212020 is a wasteful number, since it uses less digits than its factorization.

1310212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 612 counting only the distinct ones).

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

The square root of 1310212020 is about 36196.8509680055. The cubic root of 1310212020 is about 1094.2432084413.

Adding to 1310212020 its reverse (202120131), we get a palindrome (1512332151).

The spelling of 1310212020 in words is "one billion, three hundred ten million, two hundred twelve thousand, twenty".