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1312212020 = 2257311911583
BaseRepresentation
bin100111000110110…
…1100010000110100
310101110011021111012
41032031230100310
510141411241040
6334113131352
744342422010
oct11615542064
93343137435
101312212020
11613789349
12307559b58
1317bb22622
14c63bd540
157a303865
hex4e36c434

1312212020 has 96 divisors (see below), whose sum is σ = 3269984256. Its totient is φ = 432835200.

The previous prime is 1312211987. The next prime is 1312212047. The reversal of 1312212020 is 202122131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1312211986 and 1312212004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 828149 + ... + 829731.

It is an arithmetic number, because the mean of its divisors is an integer number (34062336).

Almost surely, 21312212020 is an apocalyptic number.

1312212020 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 1312212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634992128).

1312212020 is an abundant number, since it is smaller than the sum of its proper divisors (1957772236).

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

1312212020 is a wasteful number, since it uses less digits than its factorization.

1312212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1312212020 is about 36224.4671458394. The cubic root of 1312212020 is about 1094.7997020402.

Adding to 1312212020 its reverse (202122131), we get a palindrome (1514334151).

The spelling of 1312212020 in words is "one billion, three hundred twelve million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 191 217 310 382 434 620 764 868 955 1085 1337 1583 1910 2170 2674 3166 3820 4340 5348 5921 6332 6685 7915 11081 11842 13370 15830 22162 23684 26740 29605 31660 41447 44324 49073 55405 59210 82894 98146 110810 118420 165788 196292 207235 221620 245365 302353 343511 414470 490730 604706 687022 828940 981460 1209412 1374044 1511765 1717555 2116471 3023530 3435110 4232942 6047060 6870220 8465884 9372943 10582355 18745886 21164710 37491772 42329420 46864715 65610601 93729430 131221202 187458860 262442404 328053005 656106010 1312212020