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1310210020 = 225721336949
BaseRepresentation
bin100111000011000…
…0011011111100100
310101022101120021001
41032012003133210
510140403210040
6334002203044
744316413200
oct11606033744
93338346231
101310210020
116126411a9
12306953484
1317b5a1302
14c601bb00
157a05a59a
hex4e1837e4

1310210020 has 36 divisors (see below), whose sum is σ = 3200658300. Its totient is φ = 449214528.

The previous prime is 1310209939. The next prime is 1310210047. The reversal of 1310210020 is 200120131.

It can be written as a sum of positive squares in 2 ways, for example, as 738426276 + 571783744 = 27174^2 + 23912^2 .

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 = 1310209979 and 1310210006.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 667495 + ... + 669454.

It is an arithmetic number, because the mean of its divisors is an integer number (88907175).

Almost surely, 21310210020 is an apocalyptic number.

1310210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310210020 is an abundant number, since it is smaller than the sum of its proper divisors (1890448280).

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

1310210020 is a wasteful number, since it uses less digits than its factorization.

1310210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336972 (or 1336963 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1310210020 is about 36196.8233412823. The cubic root of 1310210020 is about 1094.2426516644.

Adding to 1310210020 its reverse (200120131), we get a palindrome (1510330151).

The spelling of 1310210020 in words is "one billion, three hundred ten million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1336949 2673898 5347796 6684745 9358643 13369490 18717286 26738980 37434572 46793215 65510501 93586430 131021002 187172860 262042004 327552505 655105010 1310210020