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1310002244320 = 255721115190193
BaseRepresentation
bin10011000100000010001…
…101111110101011100000
311122020100022100002222111
4103010002031332223200
5132430341033304240
62441450130245104
7163434035231500
oct23040215765340
94566308302874
101310002244320
1146562912a410
12191a79126794
13966c03bc2c3
1447593b33a00
15241220c81ea
hex1310237eae0

1310002244320 has 144 divisors (see below), whose sum is σ = 3927455039088. Its totient is φ = 408312360960.

The previous prime is 1310002244297. The next prime is 1310002244321. The reversal of 1310002244320 is 234422000131.

It is a super-2 number, since 2×13100022443202 (a number of 25 digits) contains 22 as substring.

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 = 1310002244291 and 1310002244300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310002244321) 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, 7508857 + ... + 7681336.

It is an arithmetic number, because the mean of its divisors is an integer number (27273993327).

Almost surely, 21310002244320 is an apocalyptic number.

1310002244320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310002244320 is an abundant number, since it is smaller than the sum of its proper divisors (2617452794768).

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

1310002244320 is a wasteful number, since it uses less digits than its factorization.

1310002244320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15190233 (or 15190218 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 1310002244320 its reverse (234422000131), we get a palindrome (1544424244451).

The spelling of 1310002244320 in words is "one trillion, three hundred ten billion, two million, two hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 49 55 56 70 77 80 88 98 110 112 140 154 160 176 196 220 224 245 280 308 352 385 392 440 490 539 560 616 770 784 880 980 1078 1120 1232 1540 1568 1760 1960 2156 2464 2695 3080 3920 4312 5390 6160 7840 8624 10780 12320 17248 21560 43120 86240 15190193 30380386 60760772 75950965 106331351 121521544 151901930 167092123 212662702 243043088 303803860 334184246 425325404 486086176 531656755 607607720 668368492 744319457 835460615 850650808 1063313510 1169644861 1215215440 1336736984 1488638914 1670921230 1701301616 2126627020 2339289722 2430430880 2673473968 2977277828 3341842460 3402603232 3721597285 4253254040 4678579444 5346947936 5848224305 5954555656 6683684920 7443194570 8187514027 8506508080 9357158888 11696448610 11909111312 13367369840 14886389140 16375028054 17013016160 18714317776 23392897220 23818222624 26734739680 29772778280 32750056108 37428635552 40937570135 46785794440 59545556560 65500112216 81875140270 93571588880 119091113120 131000224432 163750280540 187143177760 262000448864 327500561080 655001122160 1310002244320