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1311244001320 = 23511109169716111
BaseRepresentation
bin10011000101001100001…
…110111010000000101000
311122100112211220220100111
4103011030032322000220
5132440411431020240
62442213245344104
7163506564053341
oct23051416720050
94570484826314
101311244001320
11466106066870
12192164b68034
139685a743c66
1447670a130c8
15241961111ea
hex1314c3ba028

1311244001320 has 128 divisors (see below), whose sum is σ = 3250151308800. Its totient is φ = 472133836800.

The previous prime is 1311244001317. The next prime is 1311244001359. The reversal of 1311244001320 is 231004421131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1311244001291 and 1311244001300.

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, 81380065 + ... + 81396175.

It is an arithmetic number, because the mean of its divisors is an integer number (25391807100).

Almost surely, 21311244001320 is an apocalyptic number.

1311244001320 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 1311244001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625075654400).

1311244001320 is an abundant number, since it is smaller than the sum of its proper divisors (1938907307480).

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

1311244001320 is a wasteful number, since it uses less digits than its factorization.

1311244001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17939 (or 17935 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1311244001320 its reverse (231004421131), we get a palindrome (1542248422451).

The spelling of 1311244001320 in words is "one trillion, three hundred eleven billion, two hundred forty-four million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 109 110 218 220 436 440 545 872 1090 1199 1697 2180 2398 3394 4360 4796 5995 6788 8485 9592 11990 13576 16111 16970 18667 23980 32222 33940 37334 47960 64444 67880 74668 80555 93335 128888 149336 161110 177221 184973 186670 322220 354442 369946 373340 644440 708884 739892 746680 886105 924865 1417768 1479784 1756099 1772210 1849730 2034703 3512198 3544420 3699460 4069406 7024396 7088840 7398920 8138812 8780495 10173515 14048792 16277624 17560990 19317089 20347030 27340367 35121980 38634178 40694060 54680734 70243960 77268356 81388120 96585445 109361468 136701835 154536712 193170890 218722936 273403670 300744037 386341780 546807340 601488074 772683560 1093614680 1202976148 1503720185 2405952296 2980100003 3007440370 5960200006 6014880740 11920400012 12029761480 14900500015 23840800024 29801000030 32781100033 59602000060 65562200066 119204000120 131124400132 163905500165 262248800264 327811000330 655622000660 1311244001320