Search a number
-
+
1313322131240 = 235731184781919
BaseRepresentation
bin10011000111001000000…
…110010101111100101000
311122112220200021211200022
4103013020012111330220
5133004140431144430
62443155403100012
7163612226632220
oct23071006257450
94575820254608
101313322131240
11466a82117609
12192644b11608
1396acc145432
14477caa09080
15242687a84e5
hex131c8195f28

1313322131240 has 128 divisors (see below), whose sum is σ = 3487983206400. Its totient is φ = 435515408640.

The previous prime is 1313322131197. The next prime is 1313322131309. The reversal of 1313322131240 is 421312233131.

It is a happy 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, 15991001 + ... + 16072919.

It is an arithmetic number, because the mean of its divisors is an integer number (27249868800).

Almost surely, 21313322131240 is an apocalyptic number.

1313322131240 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 1313322131240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743991603200).

1313322131240 is an abundant number, since it is smaller than the sum of its proper divisors (2174661075160).

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

1313322131240 is a wasteful number, since it uses less digits than its factorization.

1313322131240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83815 (or 83811 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 1313322131240 its reverse (421312233131), we get a palindrome (1734634364371).

The spelling of 1313322131240 in words is "one trillion, three hundred thirteen billion, three hundred twenty-two million, one hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 1847 2170 3694 4340 7388 8680 9235 12929 14776 18470 25858 36940 51716 57257 64645 73880 81919 103432 114514 129290 163838 229028 258580 286285 327676 400799 409595 458056 517160 572570 573433 655352 801598 819190 1145140 1146866 1603196 1638380 2003995 2290280 2293732 2539489 2867165 3206392 3276760 4007990 4587464 5078978 5734330 8015980 10157956 11468660 12697445 16031960 17776423 20315912 22937320 25394890 35552846 50789780 71105692 88882115 101579560 142211384 151304393 177764230 302608786 355528460 605217572 711056920 756521965 1059130751 1210435144 1513043930 2118261502 3026087860 4236523004 4690436183 5295653755 6052175720 8473046008 9380872366 10591307510 18761744732 21182615020 23452180915 32833053281 37523489464 42365230040 46904361830 65666106562 93808723660 131332213124 164165266405 187617447320 262664426248 328330532810 656661065620 1313322131240