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13021311123020 = 22529411035316253
BaseRepresentation
bin1011110101111100001010…
…0111111011111001001100
31201002211021120010202012002
42331133002213323321030
53201320121121414040
643405524023531432
72512521141223364
oct275370247737114
951084246122162
1013021311123020
114170341733962
12156374a8b9b78
13735b9ab93a95
143303404c59a4
15178aaa58da15
hexbd7c29fbe4c

13021311123020 has 96 divisors (see below), whose sum is σ = 29258960814720. Its totient is φ = 4858629027840.

The previous prime is 13021311122951. The next prime is 13021311123097. The reversal of 13021311123020 is 2032111312031.

It is a happy number.

It is a super-3 number, since 3×130213111230203 (a number of 40 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13021311122983 and 13021311123001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208787 + ... + 5107466.

It is an arithmetic number, because the mean of its divisors is an integer number (304780841820).

Almost surely, 213021311123020 is an apocalyptic number.

13021311123020 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 13021311123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14629480407360).

13021311123020 is an abundant number, since it is smaller than the sum of its proper divisors (16237649691700).

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

13021311123020 is a wasteful number, since it uses less digits than its factorization.

13021311123020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5316435 (or 5316433 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13021311123020 its reverse (2032111312031), we get a palindrome (15053422435051).

The spelling of 13021311123020 in words is "thirteen trillion, twenty-one billion, three hundred eleven million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 29 41 58 82 103 116 145 164 205 206 290 410 412 515 580 820 1030 1189 2060 2378 2987 4223 4756 5945 5974 8446 11890 11948 14935 16892 21115 23780 29870 42230 59740 84460 122467 244934 489868 612335 1224670 2449340 5316253 10632506 21265012 26581265 53162530 106325060 154171337 217966373 308342674 435932746 547574059 616685348 770856685 871865492 1089831865 1095148118 1541713370 2179663730 2190296236 2737870295 3083426740 4359327460 5475740590 6321024817 10951481180 12642049634 15879647711 22450536419 25284099268 31605124085 31759295422 44901072838 63210248170 63518590844 79398238555 89802145676 112252682095 126420496340 158796477110 224505364190 317592954220 449010728380 651065556151 1302131112302 2604262224604 3255327780755 6510655561510 13021311123020