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13022021203230 = 23513611237442501
BaseRepresentation
bin1011110101111110110011…
…1100101011010100011110
31201002220010001021120010010
42331133230330223110132
53201323044412000410
643410122311224050
72512544552630154
oct275375474532436
951086101246103
1013022021203230
114170676538706
121563908678026
13735c820223a0
143303aa9253d4
15178aecaa2c20
hexbd7ecf2b51e

13022021203230 has 128 divisors (see below), whose sum is σ = 34236400980096. Its totient is φ = 3150316800000.

The previous prime is 13022021203159. The next prime is 13022021203249. The reversal of 13022021203230 is 3230212022031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13022021203197 and 13022021203206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29206980 + ... + 29649480.

It is an arithmetic number, because the mean of its divisors is an integer number (267471882657).

Almost surely, 213022021203230 is an apocalyptic number.

13022021203230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13022021203230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17118200490048).

13022021203230 is an abundant number, since it is smaller than the sum of its proper divisors (21214379776866).

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

13022021203230 is a wasteful number, since it uses less digits than its factorization.

13022021203230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443822.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13022021203230 its reverse (3230212022031), we get a palindrome (16252233225261).

The spelling of 13022021203230 in words is "thirteen trillion, twenty-two billion, twenty-one million, two hundred three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 61 65 78 122 130 183 195 305 366 390 610 793 915 1237 1586 1830 2379 2474 3711 3965 4758 6185 7422 7930 11895 12370 16081 18555 23790 32162 37110 48243 75457 80405 96486 150914 160810 226371 241215 377285 442501 452742 482430 754570 885002 980941 1131855 1327503 1961882 2212505 2263710 2655006 2942823 4425010 4904705 5752513 5885646 6637515 9809410 11505026 13275030 14714115 17257539 26992561 28762565 29428230 34515078 53985122 57525130 80977683 86287695 134962805 161955366 172575390 269925610 350903293 404888415 547373737 701806586 809776830 1052709879 1094747474 1642121211 1754516465 2105419758 2736868685 3284242422 3509032930 5263549395 5473737370 7115858581 8210606055 10527098790 14231717162 16421212110 21347575743 33389797957 35579292905 42695151486 66779595914 71158585810 100169393871 106737878715 166948989785 200338787742 213475757430 333897979570 434067373441 500846969355 868134746882 1001693938710 1302202120323 2170336867205 2604404240646 4340673734410 6511010601615 13022021203230