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1320232220320 = 255132467257287
BaseRepresentation
bin10011001101100011111…
…110001111011010100000
311200012202020211201212111
4103031203332033122200
5133112313422022240
62450301210205104
7164245404466426
oct23154376173240
94605666751774
101320232220320
114699a8740832
12193a53123794
139766092ab40
1447c8463d116
15245202621ea
hex13363f8f6a0

1320232220320 has 96 divisors (see below), whose sum is σ = 3360350060928. Its totient is φ = 487270867968.

The previous prime is 1320232220291. The next prime is 1320232220347. The reversal of 1320232220320 is 230222320231.

It is a junction number, because it is equal to n+sod(n) for n = 1320232220291 and 1320232220300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5002717 + ... + 5260003.

It is an arithmetic number, because the mean of its divisors is an integer number (35003646468).

Almost surely, 21320232220320 is an apocalyptic number.

1320232220320 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 1320232220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680175030464).

1320232220320 is an abundant number, since it is smaller than the sum of its proper divisors (2040117840608).

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

1320232220320 is a wasteful number, since it uses less digits than its factorization.

1320232220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259782 (or 259774 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 1320232220320 its reverse (230222320231), we get a palindrome (1550454540551).

The spelling of 1320232220320 in words is "one trillion, three hundred twenty billion, two hundred thirty-two million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 2467 4934 9868 12335 19736 24670 32071 39472 49340 64142 78944 98680 128284 160355 197360 256568 257287 320710 394720 513136 514574 641420 1026272 1029148 1282840 1286435 2058296 2565680 2572870 3344731 4116592 5131360 5145740 6689462 8233184 10291480 13378924 16723655 20582960 26757848 33447310 41165920 53515696 66894620 107031392 133789240 267578480 535156960 634727029 1269454058 2538908116 3173635145 5077816232 6347270290 8251451377 10155632464 12694540580 16502902754 20311264928 25389081160 33005805508 41257256885 50778162320 66011611016 82514513770 101556324640 132023222032 165029027540 264046444064 330058055080 660116110160 1320232220320