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13122032320 = 265192113591
BaseRepresentation
bin11000011100010001…
…00101001011000000
31020212111102022100001
430032020211023000
5203333220013240
610010030405344
7643114301665
oct141610451300
936774368301
1013122032320
115624055111
122662660854
13131175a987
148c6a53a6c
1551c00989a
hex30e2252c0

13122032320 has 84 divisors (see below), whose sum is σ = 32978256624. Its totient is φ = 4972515840.

The previous prime is 13122032311. The next prime is 13122032353. The reversal of 13122032320 is 2323022131.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58725 + ... + 172315.

Almost surely, 213122032320 is an apocalyptic number.

13122032320 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 13122032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16489128312).

13122032320 is an abundant number, since it is smaller than the sum of its proper divisors (19856224304).

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

13122032320 is a wasteful number, since it uses less digits than its factorization.

13122032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113646 (or 113617 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 13122032320 its reverse (2323022131), we get a palindrome (15445054451).

The spelling of 13122032320 in words is "thirteen billion, one hundred twenty-two million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 361 380 608 722 760 1216 1444 1520 1805 2888 3040 3610 5776 6080 7220 11552 14440 23104 28880 57760 113591 115520 227182 454364 567955 908728 1135910 1817456 2158229 2271820 3634912 4316458 4543640 7269824 8632916 9087280 10791145 17265832 18174560 21582290 34531664 36349120 41006351 43164580 69063328 82012702 86329160 138126656 164025404 172658320 205031755 328050808 345316640 410063510 656101616 690633280 820127020 1312203232 1640254040 2624406464 3280508080 6561016160 13122032320