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13102003020320 = 255319112899597
BaseRepresentation
bin1011111010101000110000…
…1111000110001000100000
31201101112120010011211211222
42332222030033012020200
53204130400233122240
643510551015154212
72521405564101314
oct276521417061040
951345503154758
1013102003020320
1141a158a155695
12157730a375968
1374068a45bb86
143341d70c9b44
1517ac2e67deb5
hexbea8c3c6220

13102003020320 has 96 divisors (see below), whose sum is σ = 31987066116096. Its totient is φ = 5066174131200.

The previous prime is 13102003020307. The next prime is 13102003020409. The reversal of 13102003020320 is 2302030020131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3068762 + ... + 5968358.

It is an arithmetic number, because the mean of its divisors is an integer number (333198605376).

Almost surely, 213102003020320 is an apocalyptic number.

13102003020320 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 13102003020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15993533058048).

13102003020320 is an abundant number, since it is smaller than the sum of its proper divisors (18885063095776).

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

13102003020320 is a wasteful number, since it uses less digits than its factorization.

13102003020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900554 (or 2900546 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13102003020320 its reverse (2302030020131), we get a palindrome (15404033040451).

The spelling of 13102003020320 in words is "thirteen trillion, one hundred two billion, three million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 911 992 1240 1822 2480 3644 4555 4960 7288 9110 14576 18220 28241 29152 36440 56482 72880 112964 141205 145760 225928 282410 451856 564820 903712 1129640 2259280 2899597 4518560 5799194 11598388 14497985 23196776 28995970 46393552 57991940 89887507 92787104 115983880 179775014 231967760 359550028 449437535 463935520 719100056 898875070 1438200112 1797750140 2641532867 2876400224 3595500280 5283065734 7191000560 10566131468 13207664335 14382001120 21132262936 26415328670 42264525872 52830657340 81887518877 84529051744 105661314680 163775037754 211322629360 327550075508 409437594385 422645258720 655100151016 818875188770 1310200302032 1637750377540 2620400604064 3275500755080 6551001510160 13102003020320