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13022000220 = 22351136772837
BaseRepresentation
bin11000010000010101…
…11111010001011100
31020121112012011002110
430020022333101130
5203132113001340
65552054354020
7640461114135
oct141012772134
936545164073
1013022000220
115582641559
12263505b910
1312c6b05698
148b7654c8c
1551334a680
hex3082bf45c

13022000220 has 96 divisors (see below), whose sum is σ = 36851588928. Its totient is φ = 3435507712.

The previous prime is 13022000219. The next prime is 13022000237. The reversal of 13022000220 is 2200022031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13022000196 and 13022000205.

It is a congruent number.

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, 4588642 + ... + 4591478.

It is an arithmetic number, because the mean of its divisors is an integer number (383870718).

Almost surely, 213022000220 is an apocalyptic number.

13022000220 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 13022000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18425794464).

13022000220 is an abundant number, since it is smaller than the sum of its proper divisors (23829588708).

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

13022000220 is a wasteful number, since it uses less digits than its factorization.

13022000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 13022000220 its reverse (2200022031), we get a palindrome (15222022251).

The spelling of 13022000220 in words is "thirteen billion, twenty-two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 677 678 1130 1354 1356 1695 2031 2260 2708 2837 3385 3390 4062 5674 6770 6780 8124 8511 10155 11348 13540 14185 17022 20310 28370 34044 40620 42555 56740 76501 85110 153002 170220 229503 306004 320581 382505 459006 641162 765010 918012 961743 1147515 1282324 1530020 1602905 1920649 1923486 2295030 3205810 3841298 3846972 4590060 4808715 5761947 6411620 7682596 9603245 9617430 11523894 19206490 19234860 23047788 28809735 38412980 57619470 115238940 217033337 434066674 651100011 868133348 1085166685 1302200022 2170333370 2604400044 3255500055 4340666740 6511000110 13022000220