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13020330312200 = 23523132027102611
BaseRepresentation
bin1011110101111000100000…
…1010011100001000001000
31201002201202012120101200102
42331132020022130020020
53201311114024442300
643405242425424532
72512454631403541
oct275361012341010
951081665511612
1013020330312200
11416a989027202
12156351633b148
13735a72914c53
1433028a1314c8
15178a4e3ed0d5
hexbd78829c208

13020330312200 has 96 divisors (see below), whose sum is σ = 30384262827360. Its totient is φ = 5188880985600.

The previous prime is 13020330312149. The next prime is 13020330312217. The reversal of 13020330312200 is 221303302031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126838895 + ... + 126941505.

It is an arithmetic number, because the mean of its divisors is an integer number (316502737785).

Almost surely, 213020330312200 is an apocalyptic number.

13020330312200 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 13020330312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15192131413680).

13020330312200 is an abundant number, since it is smaller than the sum of its proper divisors (17363932515160).

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

13020330312200 is a wasteful number, since it uses less digits than its factorization.

13020330312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104967 (or 104958 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13020330312200 its reverse (221303302031), we get a palindrome (13241633614231).

The spelling of 13020330312200 in words is "thirteen trillion, twenty billion, three hundred thirty million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 313 626 1252 1565 2027 2504 3130 4054 6260 7825 8108 10135 12520 15650 16216 20270 31300 40540 50675 62600 81080 101350 102611 202700 205222 405400 410444 513055 634451 820888 1026110 1268902 2052220 2537804 2565275 3172255 4104440 5075608 5130550 6344510 10261100 12689020 15861275 20522200 25378040 31722550 32117243 63445100 64234486 126890200 128468972 160586215 207992497 256937944 321172430 415984994 642344860 802931075 831969988 1039962485 1284689720 1605862150 1663939976 2079924970 3211724300 4159849940 5199812425 6423448600 8319699880 10399624850 20799249700 41598499400 65101651561 130203303122 260406606244 325508257805 520813212488 651016515610 1302033031220 1627541289025 2604066062440 3255082578050 6510165156100 13020330312200