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1312022220 = 223537215973
BaseRepresentation
bin100111000110011…
…1101111011001100
310101102210122010120
41032030331323030
510141334202340
6334105104540
744341001445
oct11614757314
93342718116
101312022220
11613669793
12307488150
1317ba87112
14c63702cc
157a2b74d0
hex4e33decc

1312022220 has 72 divisors (see below), whose sum is σ = 3775870224. Its totient is φ = 340395264.

The previous prime is 1312022203. The next prime is 1312022227. The reversal of 1312022220 is 222202131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1312022220.

It is not an unprimeable number, because it can be changed into a prime (1312022227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74154 + ... + 90126.

It is an arithmetic number, because the mean of its divisors is an integer number (52442642).

Almost surely, 21312022220 is an apocalyptic number.

1312022220 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 1312022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887935112).

1312022220 is an abundant number, since it is smaller than the sum of its proper divisors (2463848004).

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

1312022220 is a wasteful number, since it uses less digits than its factorization.

1312022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16059 (or 16020 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1312022220 is about 36221.8472748147. The cubic root of 1312022220 is about 1094.7469150923.

Adding to 1312022220 its reverse (222202131), we get a palindrome (1534224351).

The spelling of 1312022220 in words is "one billion, three hundred twelve million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 1369 2220 2738 4107 5476 6845 8214 13690 15973 16428 20535 27380 31946 41070 47919 63892 79865 82140 95838 159730 191676 239595 319460 479190 591001 958380 1182002 1773003 2364004 2955005 3546006 5910010 7092012 8865015 11820020 17730030 21867037 35460060 43734074 65601111 87468148 109335185 131202222 218670370 262404444 328005555 437340740 656011110 1312022220