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13020130302100 = 22521989751710243
BaseRepresentation
bin1011110101110111110000…
…1111011101100010010100
31201002201020021012211101221
42331131330033131202110
53201310211324131400
643405210522500124
72512446652344655
oct275357417354224
951081207184357
1013020130302100
11416a8961376a9
12156347b364644
13735a4035618c
1433026b74952c
15178a3ba90c1a
hexbd77c3dd894

13020130302100 has 144 divisors (see below), whose sum is σ = 30081821515200. Its totient is φ = 4877381329920.

The previous prime is 13020130302079. The next prime is 13020130302121. The reversal of 13020130302100 is 120303102031.

It is an interprime number because it is at equal distance from previous prime (13020130302079) and next prime (13020130302121).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1271119579 + ... + 1271129821.

It is an arithmetic number, because the mean of its divisors is an integer number (208901538300).

Almost surely, 213020130302100 is an apocalyptic number.

13020130302100 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 13020130302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15040910757600).

13020130302100 is an abundant number, since it is smaller than the sum of its proper divisors (17061691213100).

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

13020130302100 is a wasteful number, since it uses less digits than its factorization.

13020130302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17882 (or 17875 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13020130302100 its reverse (120303102031), we get a palindrome (13140433404131).

The spelling of 13020130302100 in words is "thirteen trillion, twenty billion, one hundred thirty million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 89 95 100 178 190 356 380 445 475 890 950 1691 1780 1900 2225 3382 4450 6764 7517 8455 8900 10243 15034 16910 20486 30068 33820 37585 40972 42275 51215 75170 84550 102430 142823 150340 169100 187925 194617 204860 256075 285646 375850 389234 512150 571292 669013 714115 751700 778468 911627 973085 1024300 1338026 1428230 1823254 1946170 2676052 2856460 3345065 3570575 3646508 3892340 4558135 4865425 6690130 7141150 9116270 9730850 12711247 13380260 14282300 16725325 17320913 18232540 19461700 22790675 25422494 33450650 34641826 45581350 50844988 63556235 66901300 69283652 76996631 86604565 91162700 127112470 153993262 173209130 254224940 307986524 317781175 346418260 384983155 433022825 635562350 769966310 866045650 1271124700 1462935989 1539932620 1732091300 1924915775 2925871978 3849831550 5851743956 6852700159 7314679945 7699663100 13705400318 14629359890 27410800636 29258719780 34263500795 36573399725 68527001590 73146799450 130201303021 137054003180 146293598900 171317503975 260402606042 342635007950 520805212084 651006515105 685270015900 1302013030210 2604026060420 3255032575525 6510065151050 13020130302100