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1310223420 = 22325113471907
BaseRepresentation
bin100111000011000…
…0110110000111100
310101022102020122100
41032012012300330
510140404122140
6334002345100
744316500232
oct11606066074
93338366570
101310223420
11612650280
1230695b190
1317b5a743c
14c6022952
157a05e530
hex4e186c3c

1310223420 has 144 divisors (see below), whose sum is σ = 4350423168. Its totient is φ = 316548480.

The previous prime is 1310223403. The next prime is 1310223457. The reversal of 1310223420 is 243220131.

1310223420 is a `hidden beast` number, since 13 + 10 + 223 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1310223393 and 1310223402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686107 + ... + 688013.

It is an arithmetic number, because the mean of its divisors is an integer number (30211272).

Almost surely, 21310223420 is an apocalyptic number.

1310223420 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 1310223420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175211584).

1310223420 is an abundant number, since it is smaller than the sum of its proper divisors (3040199748).

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

1310223420 is a wasteful number, since it uses less digits than its factorization.

1310223420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1310223420 is about 36197.0084399250. The cubic root of 1310223420 is about 1094.2463820591.

Adding to 1310223420 its reverse (243220131), we get a palindrome (1553443551).

The spelling of 1310223420 in words is "one billion, three hundred ten million, two hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 347 396 495 660 694 990 1041 1388 1735 1907 1980 2082 3123 3470 3814 3817 4164 5205 5721 6246 6940 7628 7634 9535 10410 11442 11451 12492 15268 15615 17163 19070 19085 20820 20977 22884 22902 28605 31230 34326 34353 38140 38170 41954 45804 57210 57255 62460 62931 68652 68706 76340 83908 85815 104885 114420 114510 125862 137412 171630 171765 188793 209770 229020 251724 314655 343260 343530 377586 419540 629310 661729 687060 755172 943965 1258620 1323458 1887930 1985187 2646916 3308645 3775860 3970374 5955561 6617290 7279019 7940748 9925935 11911122 13234580 14558038 19851870 21837057 23822244 29116076 29777805 36395095 39703740 43674114 59555610 65511171 72790190 87348228 109185285 119111220 131022342 145580380 218370570 262044684 327555855 436741140 655111710 1310223420